From 0a3340d2a8caad9366af1eb1093cc7724157ddfc Mon Sep 17 00:00:00 2001
From: ravi <ravi.kandhadai@epfl.ch>
Date: Wed, 9 Mar 2016 16:04:23 +0100
Subject: [PATCH] (a) Adding support for running lazy and memoized programs (b)
 Fixing bugs in the benchmarks (c) Makinging transformation phases of Orb
 ignore parts of the library

---
 library/lazy/package.scala                    | 116 +--
 library/mem/package.scala                     |  56 ++
 library/stats/package.scala                   |  28 +
 libtest/build.sbt                             |  17 +
 libtest/project/Build.scala                   |  35 +
 .../main/scala/leon/annotation/isabelle.scala |  31 +
 .../main/scala/leon/annotation/package.scala  |  43 +
 .../src/main/scala/leon/collection/List.scala | 897 ++++++++++++++++++
 .../main/scala/leon/collection/package.scala  |  25 +
 .../scala/leon/instrumentation/package.scala  |  24 +
 .../main/scala/leon/invariant/package.scala   |  26 +
 libtest/src/main/scala/leon/lang/Dummy.scala  |   3 +
 libtest/src/main/scala/leon/lang/Either.scala |  27 +
 libtest/src/main/scala/leon/lang/Map.scala    |  33 +
 libtest/src/main/scala/leon/lang/Option.scala |  84 ++
 .../src/main/scala/leon/lang/Rational.scala   |  85 ++
 libtest/src/main/scala/leon/lang/Real.scala   |  25 +
 libtest/src/main/scala/leon/lang/Set.scala    |  26 +
 libtest/src/main/scala/leon/lang/StrOps.scala |  23 +
 .../src/main/scala/leon/lang/package.scala    |  85 ++
 .../scala/leon/lang/synthesis/Oracle.scala    |  33 +
 .../scala/leon/lang/synthesis/package.scala   |  41 +
 .../main/scala/leon/lang/xlang/package.scala  |  13 +
 .../src/main/scala/leon/lazy/package.scala    |  90 ++
 .../src/main/scala/leon/math/package.scala    |  18 +
 libtest/src/main/scala/leon/mem/package.scala |  56 ++
 .../main/scala/leon/monads/state/State.scala  | 215 +++++
 libtest/src/main/scala/leon/package.scala     |  23 +
 libtest/src/main/scala/leon/par/package.scala |  24 +
 .../src/main/scala/leon/proof/Internal.scala  |  63 ++
 .../src/main/scala/leon/proof/package.scala   |  66 ++
 .../src/main/scala/leon/stats/package.scala   |  28 +
 run-benchs.sh                                 |  12 -
 .../engine/CompositionalTimeBoundSolver.scala |  25 +-
 .../invariant/engine/InferenceContext.scala   |   8 +-
 .../invariant/engine/InferenceEngine.scala    |   6 +-
 .../invariant/factories/TemplateFactory.scala |   2 +-
 .../structure/LinearConstraintUtil.scala      |   2 +-
 .../templateSolvers/CegisSolver.scala         |  17 +-
 .../templateSolvers/DisjunctChooser.scala     |   2 +-
 .../ExistentialQuantificationSolver.scala     |  15 +-
 .../templateSolvers/FarkasLemmaSolver.scala   |   8 +-
 .../UniversalQuantificationSolver.scala       |   6 +-
 .../util/ExpressionTransformer.scala          |  32 -
 .../leon/invariant/util/RealIntMap.scala      | 111 +++
 .../scala/leon/invariant/util/RealToInt.scala |  70 --
 .../util/RealValuedExprEvaluator.scala        |  19 +-
 .../scala/leon/invariant/util/TreeUtil.scala  |  70 +-
 .../laziness/LazinessEliminationPhase.scala   |   3 +-
 .../scala/leon/laziness/LazinessUtil.scala    |  26 +-
 .../leon/laziness/LazyExpressionLifter.scala  |  25 +-
 .../leon/laziness/LazyVerificationPhase.scala |   3 +-
 .../transformations/InstProgSimplifier.scala  |  42 +-
 .../NonlinearityEliminationPhase.scala        |  86 +-
 .../SerialInstrumentationPhase.scala          | 213 ++---
 .../Unproved/HammingProblem.scala             |  94 --
 testcases/lazy-datastructures/build.sbt       |  15 +
 .../lazy-datastructures/conc/Conqueue.scala   |  72 +-
 .../eager/AmortizedQueue.scala                |  83 ++
 .../eager/BasicMergeSort.scala                |  41 +
 .../lazy-datastructures/eager/BigNums.scala   |  79 ++
 .../lib/lazybenchmarkexecution_2.11-1.0.jar   | Bin 0 -> 230986 bytes
 testcases/lazy-datastructures/lib/macmemo.jar | Bin 0 -> 12283025 bytes
 .../memoization/FibonacciMemoized.scala       |  10 +-
 .../memoization/HammingMemoized.scala         |  15 +-
 .../memoization/Knapsack.scala                |  13 +-
 .../memoization/PackratParsing.scala          |  99 +-
 .../memoization/WeightedScheduling.scala      |  10 +-
 .../lazy-datastructures/project/Build.scala   |  21 +
 .../withOrb/BottomUpMegeSort.scala            |  91 +-
 .../lazy-datastructures/withOrb/Concat.scala  |  68 +-
 .../lazy-datastructures/withOrb/Deque.scala   | 157 ++-
 .../withOrb/Esop15Benchmarks.scala            |  24 +-
 .../withOrb/FibonacciMemoized.scala           |  34 +-
 .../withOrb/HammingMemoized.scala             |  44 +-
 .../withOrb/Knapsack.scala                    |  47 +-
 .../withOrb/LazyNumericalRep.scala            | 142 ++-
 .../withOrb/PackratParsing.scala              | 155 ++-
 .../withOrb/RealTimeQueue.scala               |  95 +-
 ...nConcat-orb.scala => SortingnConcat.scala} |  30 +-
 .../withOrb/WeightedScheduling.scala          |  70 +-
 .../{ => withconst}/BottomUpMegeSort.scala    |  21 +-
 .../{ => withconst}/Deque.scala               |   0
 .../{ => withconst}/Esop15Benchmarks.scala    |   0
 .../{ => withconst}/LazyMegeSort.scala        |   0
 .../{ => withconst}/LazyNumericalRep.scala    |   0
 .../{ => withconst}/RealTimeQueue.scala       |   0
 .../{ => withconst}/SortingnConcat.scala      |   0
 .../orb-testcases/amortized/BigNums.scala     |  65 +-
 .../orb-testcases/timing/AmortizedQueue.scala | 129 ++-
 .../list-algorithms/BasicMergeSort.scala      |  31 +-
 .../list-algorithms/MergeSort.scala           |   5 +-
 92 files changed, 3839 insertions(+), 1083 deletions(-)
 create mode 100644 library/mem/package.scala
 create mode 100644 library/stats/package.scala
 create mode 100644 libtest/build.sbt
 create mode 100644 libtest/project/Build.scala
 create mode 100644 libtest/src/main/scala/leon/annotation/isabelle.scala
 create mode 100644 libtest/src/main/scala/leon/annotation/package.scala
 create mode 100644 libtest/src/main/scala/leon/collection/List.scala
 create mode 100644 libtest/src/main/scala/leon/collection/package.scala
 create mode 100644 libtest/src/main/scala/leon/instrumentation/package.scala
 create mode 100644 libtest/src/main/scala/leon/invariant/package.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Dummy.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Either.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Map.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Option.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Rational.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Real.scala
 create mode 100644 libtest/src/main/scala/leon/lang/Set.scala
 create mode 100644 libtest/src/main/scala/leon/lang/StrOps.scala
 create mode 100644 libtest/src/main/scala/leon/lang/package.scala
 create mode 100644 libtest/src/main/scala/leon/lang/synthesis/Oracle.scala
 create mode 100644 libtest/src/main/scala/leon/lang/synthesis/package.scala
 create mode 100644 libtest/src/main/scala/leon/lang/xlang/package.scala
 create mode 100644 libtest/src/main/scala/leon/lazy/package.scala
 create mode 100644 libtest/src/main/scala/leon/math/package.scala
 create mode 100644 libtest/src/main/scala/leon/mem/package.scala
 create mode 100644 libtest/src/main/scala/leon/monads/state/State.scala
 create mode 100644 libtest/src/main/scala/leon/package.scala
 create mode 100644 libtest/src/main/scala/leon/par/package.scala
 create mode 100644 libtest/src/main/scala/leon/proof/Internal.scala
 create mode 100644 libtest/src/main/scala/leon/proof/package.scala
 create mode 100644 libtest/src/main/scala/leon/stats/package.scala
 delete mode 100755 run-benchs.sh
 create mode 100644 src/main/scala/leon/invariant/util/RealIntMap.scala
 delete mode 100644 src/main/scala/leon/invariant/util/RealToInt.scala
 delete mode 100644 testcases/lazy-datastructures/Unproved/HammingProblem.scala
 create mode 100644 testcases/lazy-datastructures/build.sbt
 create mode 100644 testcases/lazy-datastructures/eager/AmortizedQueue.scala
 create mode 100644 testcases/lazy-datastructures/eager/BasicMergeSort.scala
 create mode 100644 testcases/lazy-datastructures/eager/BigNums.scala
 create mode 100644 testcases/lazy-datastructures/lib/lazybenchmarkexecution_2.11-1.0.jar
 create mode 100644 testcases/lazy-datastructures/lib/macmemo.jar
 create mode 100644 testcases/lazy-datastructures/project/Build.scala
 rename testcases/lazy-datastructures/withOrb/{SortingnConcat-orb.scala => SortingnConcat.scala} (72%)
 rename testcases/lazy-datastructures/{ => withconst}/BottomUpMegeSort.scala (92%)
 rename testcases/lazy-datastructures/{ => withconst}/Deque.scala (100%)
 rename testcases/lazy-datastructures/{ => withconst}/Esop15Benchmarks.scala (100%)
 rename testcases/lazy-datastructures/{ => withconst}/LazyMegeSort.scala (100%)
 rename testcases/lazy-datastructures/{ => withconst}/LazyNumericalRep.scala (100%)
 rename testcases/lazy-datastructures/{ => withconst}/RealTimeQueue.scala (100%)
 rename testcases/lazy-datastructures/{ => withconst}/SortingnConcat.scala (100%)

diff --git a/library/lazy/package.scala b/library/lazy/package.scala
index f329b589a..7c0f57582 100644
--- a/library/lazy/package.scala
+++ b/library/lazy/package.scala
@@ -1,32 +1,39 @@
 /* Copyright 2009-2013 EPFL, Lausanne */
 
-package leon.lazyeval
+package leon
 
-import leon.annotation._
-import leon.lang._
+import annotation._
+import lang._
 import scala.language.implicitConversions
 import scala.annotation.StaticAnnotation
 
-@library
-object $ {
-  def apply[T](f: => T) = new $(Unit => f)
-  def eager[T](x: => T) = new $(Unit => x)
+package object lazyeval {
+
+  @library
+  def $[T](f: => T) = Lazy(Unit => f)
+  //def apply[T](f: => T) = new $(Unit => f)
+
+  @library
+  def eager[T](x: => T) = Lazy(Unit => x)
+
   /**
    * implicit conversion from eager evaluation to lazy evaluation
    */
+  @library
   @inline
   implicit def eagerToLazy[T](x: T) = eager(x)
 
   /**
-   * accessing in and out states.
+   * For accessing in and out states.
    * Should be used only in ensuring.
-   * TODO: enforce this.
    */
+  @library
   @extern
-  def inState[T] : Set[$[T]] = sys.error("inState method is not executable!")
+  def inState[T]: Set[Lazy[T]] = sys.error("inState method is not executable!")
 
+  @library
   @extern
-  def outState[T] : Set[$[T]] = sys.error("outState method is not executable")
+  def outState[T]: Set[Lazy[T]] = sys.error("outState method is not executable")
 
   /**
    * Helper class for invoking with a given state instead of the implicit state
@@ -34,30 +41,23 @@ object $ {
   @library
   case class WithState[T](v: T) {
     @extern
-    def withState[U](u: Set[$[U]]): T = sys.error("withState method is not executable!")
+    def withState[U](u: Set[Lazy[U]]): T = sys.error("withState method is not executable!")
 
     @extern
-    def withState[U, V](u: Set[$[U]], v: Set[$[V]]): T = sys.error("withState method is not executable!")
+    def withState[U, V](u: Set[Lazy[U]], v: Set[Lazy[V]]): T = sys.error("withState method is not executable!")
 
     @extern
-    def withState[U, V, W](u: Set[$[U]], v: Set[$[V]], w: Set[$[W]]): T = sys.error("withState method is not executable!")
+    def withState[U, V, W](u: Set[Lazy[U]], v: Set[Lazy[V]], w: Set[Lazy[W]]): T = sys.error("withState method is not executable!")
 
     @extern
-    def withState[U, V, W, X](u: Set[$[U]], v: Set[$[V]], w: Set[$[W]], x: Set[$[X]]): T = sys.error("withState method is not executable!")
+    def withState[U, V, W, X](u: Set[Lazy[U]], v: Set[Lazy[V]], w: Set[Lazy[W]], x: Set[Lazy[X]]): T = sys.error("withState method is not executable!")
     // extend this to more arguments if needed
   }
 
+  @library
   @inline
   implicit def toWithState[T](x: T) = new WithState(x)
 
-  /* @library
-  case class Mem[T](v: T) {
-    @extern
-    def isCached: Boolean = sys.error("not implemented!")
-  }
-  @inline
-  implicit def toMem[T](x: T) = new Mem(x)*/
-
   /**
    * annotations for monotonicity proofs.
    * Note implemented as of now.
@@ -67,72 +67,24 @@ object $ {
    */
   @ignore
   class monoproof(methodname: String) extends StaticAnnotation
-}
-
-@library
-case class $[T](f: Unit => T) {
-  @extern
-  lazy val value = {
-    val x = f(())
-    eval = true
-    x
-  }
-  def * = f(())
-
-  @ignore
-  var eval = false // is this thread safe ?
-
-  @extern
-  def isEvaluated = eval
 
-  @extern
-  def isSuspension[T](f: T) : Boolean = sys.error("isSuspensionOf method is not executable")
-}
-
-/**
- * The following are set of methods meant for `Memoized` closures
- */
-@library
-object Mem {
-  @inline
-  implicit def toMem[T](x: T) = new Mem(x)
-
-  /**
-   * accessing in and out states of mems
-   * Should be used only in ensuring.
-   * TODO: enforce this.
-   */
-  @extern
-  def inState[T] : Set[Mem[T]] = sys.error("inState method is not executable!")
-
-  @extern
-  def outState[T] : Set[Mem[T]] = sys.error("outState method is not executable")
-
-  /**
-   * Helper class for invoking with a given state instead of the implicit state
-   */
   @library
-  case class memWithState[T](v: T) {
+  case class Lazy[T](f: Unit => T) {
     @extern
-    def withState[U](u: Set[Mem[U]]): T = sys.error("withState method is not executable!")
+    lazy val value = {
+      val x = f(())
+      eval = true
+      x
+    }
+    def * = f(())
 
-    @extern
-    def withState[U, V](u: Set[Mem[U]], v: Set[Mem[V]]): T = sys.error("withState method is not executable!")
+    @ignore
+    var eval = false // is this thread safe ?
 
     @extern
-    def withState[U, V, W](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]]): T = sys.error("withState method is not executable!")
+    def isEvaluated = eval
 
     @extern
-    def withState[U, V, W, X](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]], x: Set[Mem[X]]): T = sys.error("withState method is not executable!")
-    // extend this to more arguments if needed
+    def isSuspension[T](f: T): Boolean = sys.error("isSuspensionOf method is not executable")
   }
-
-  @inline
-  implicit def toWithState[T](x: T) = new memWithState(x)
-}
-
-@library
-case class Mem[T](v: T) {
-  @extern
-  def isCached: Boolean = sys.error("not implemented!")
 }
\ No newline at end of file
diff --git a/library/mem/package.scala b/library/mem/package.scala
new file mode 100644
index 000000000..416b737ac
--- /dev/null
+++ b/library/mem/package.scala
@@ -0,0 +1,56 @@
+/* Copyright 2009-2013 EPFL, Lausanne */
+
+package leon
+
+import annotation._
+import lang._
+import scala.language.implicitConversions
+import scala.annotation.StaticAnnotation
+
+package object mem {
+
+  @library
+  @inline
+  implicit def toMem[T](x: T) = new Mem(x)
+
+  /**
+   * accessing in and out states of mems
+   * Should be used only in ensuring.
+   */
+  @library
+  @extern
+  def inState[T]: Set[Mem[T]] = sys.error("inState method is not executable!")
+
+  @library
+  @extern
+  def outState[T]: Set[Mem[T]] = sys.error("outState method is not executable")
+
+  /**
+   * Helper class for invoking with a given state instead of the implicit state
+   */
+  @library
+  case class memWithState[T](v: T) {
+    @extern
+    def withState[U](u: Set[Mem[U]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V](u: Set[Mem[U]], v: Set[Mem[V]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W, X](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]], x: Set[Mem[X]]): T = sys.error("withState method is not executable!")
+    // extend this to more arguments if needed
+  }
+
+  @library
+  @inline
+  implicit def toWithState[T](x: T) = new memWithState(x)
+
+  @library
+  case class Mem[T](v: T) {
+    @extern
+    def isCached: Boolean = sys.error("not implemented!")
+  }
+}
\ No newline at end of file
diff --git a/library/stats/package.scala b/library/stats/package.scala
new file mode 100644
index 000000000..17d6286b6
--- /dev/null
+++ b/library/stats/package.scala
@@ -0,0 +1,28 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import java.lang.management._
+import scala.collection.JavaConversions._
+
+/**
+ * A collection of methods that can be used to collect run-time statistics about Leon programs.
+ * This is mostly used to test the resources properties of Leon programs
+ */
+package object stats {
+  @ignore
+  def timed[T](code: => T)(cont: Long => Unit): T = {
+    var t1 = System.currentTimeMillis()
+    val r = code
+    cont((System.currentTimeMillis() - t1))
+    r
+  }
+
+  @ignore
+  def withTime[T](code: => T): (T, Long) = {
+    var t1 = System.currentTimeMillis()
+    val r = code
+    (r, (System.currentTimeMillis() - t1))
+  }
+}
diff --git a/libtest/build.sbt b/libtest/build.sbt
new file mode 100644
index 000000000..9e8ce202f
--- /dev/null
+++ b/libtest/build.sbt
@@ -0,0 +1,17 @@
+name := "LazyBenchmarkExecution"
+
+version := "1.0"
+
+organization := "ch.epfl.lara"
+
+scalaVersion := "2.11.7"
+
+fork in run := true
+
+unmanagedJars in Compile += file("lib/macmemo.jar")
+
+javaOptions in run ++= Seq("-Xmx5G", "-Xms3G", "-Xss500M")
+
+scalacOptions ++= Seq("-optimise")
+
+libraryDependencies += "org.scala-lang" % "scala-reflect" % "2.11.5"
diff --git a/libtest/project/Build.scala b/libtest/project/Build.scala
new file mode 100644
index 000000000..19f93de52
--- /dev/null
+++ b/libtest/project/Build.scala
@@ -0,0 +1,35 @@
+import sbt._
+import Keys._
+
+object BuildSettings {
+  val paradiseVersion = "2.1.0-M5"
+  val buildSettings = Defaults.defaultSettings ++ Seq(
+    resolvers += Resolver.sonatypeRepo("snapshots"),
+    resolvers += Resolver.sonatypeRepo("releases"),
+    addCompilerPlugin("org.scalamacros" % "paradise" % paradiseVersion cross CrossVersion.full)
+  )
+}
+
+object MyBuild extends Build {
+  import BuildSettings._
+
+  lazy val root = Project(
+    "root",
+    file("."),
+    settings = buildSettings
+  ) 
+  
+//  aggregate (macros, benchmarks)
+//
+//  lazy val macros = Project(
+//    "leon",
+//    file("src/main/scala/leon"),
+//    settings = buildSettings 
+//  )
+//  
+//  lazy val benchmarks = Project(
+//    "benchmark",
+//    file("src/main/scala/benchmarks"),
+//    settings = buildSettings 
+//  ) dependsOn macros
+}
diff --git a/libtest/src/main/scala/leon/annotation/isabelle.scala b/libtest/src/main/scala/leon/annotation/isabelle.scala
new file mode 100644
index 000000000..bfb4b39ec
--- /dev/null
+++ b/libtest/src/main/scala/leon/annotation/isabelle.scala
@@ -0,0 +1,31 @@
+package leon.annotation
+
+import scala.annotation.StaticAnnotation
+
+object isabelle {
+
+  @ignore
+  class typ(name: String) extends StaticAnnotation
+
+  @ignore
+  class constructor(name: String) extends StaticAnnotation
+
+  @ignore
+  class function(term: String) extends StaticAnnotation
+
+  @ignore
+  class script(name: String, source: String) extends StaticAnnotation
+
+  @ignore
+  class proof(method: String, kind: String = "") extends StaticAnnotation
+
+  @ignore
+  class fullBody() extends StaticAnnotation
+
+  @ignore
+  class noBody() extends StaticAnnotation
+
+  @ignore
+  class lemma(about: String) extends StaticAnnotation
+
+}
diff --git a/libtest/src/main/scala/leon/annotation/package.scala b/libtest/src/main/scala/leon/annotation/package.scala
new file mode 100644
index 000000000..a355a8557
--- /dev/null
+++ b/libtest/src/main/scala/leon/annotation/package.scala
@@ -0,0 +1,43 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import scala.annotation.StaticAnnotation
+import scala.language.experimental.macros
+
+package object annotation {
+  @ignore
+  class library    extends StaticAnnotation
+  @ignore
+  class induct     extends StaticAnnotation
+  @ignore
+  class traceInduct(name: String = "") extends StaticAnnotation
+  @ignore
+  class ignore     extends StaticAnnotation
+  @ignore
+  class extern     extends StaticAnnotation
+  @ignore
+  class inline     extends StaticAnnotation
+  @ignore
+  class internal   extends StaticAnnotation
+
+  // Orb annotations
+  @ignore
+  class monotonic  extends StaticAnnotation
+  @ignore
+  class compose    extends StaticAnnotation
+  @ignore
+  class axiom 		extends StaticAnnotation
+  @ignore
+  class invstate extends StaticAnnotation
+  @ignore
+  class memoize extends StaticAnnotation {    
+    def macroTransform(annottees: Any*): Any = macro com.softwaremill.macmemo.memoizeMacro.impl
+  }
+  @ignore
+  class invisibleBody extends StaticAnnotation // do not unfold the body of the function
+  @ignore
+  class usePost extends StaticAnnotation // assume the post-condition while proving time bounds
+  @ignore
+  class unfoldFactor(f: Int=0) extends StaticAnnotation // 0 implies no bound on unfolding
+}
\ No newline at end of file
diff --git a/libtest/src/main/scala/leon/collection/List.scala b/libtest/src/main/scala/leon/collection/List.scala
new file mode 100644
index 000000000..74a0f0c66
--- /dev/null
+++ b/libtest/src/main/scala/leon/collection/List.scala
@@ -0,0 +1,897 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.collection
+
+import leon._
+import leon.lang._
+import leon.annotation._
+import leon.math._
+import leon.proof._
+
+@library
+@isabelle.typ(name = "List.list")
+sealed abstract class List[T] {
+
+  @isabelle.function(term = "Int.int o List.length")
+  def size: BigInt = (this match {
+    case Nil() => BigInt(0)
+    case Cons(h, t) => 1 + t.size
+  }) ensuring (_ >= 0)
+
+  def length = size
+
+  @isabelle.function(term = "List.list.set")
+  def content: Set[T] = this match {
+    case Nil() => Set()
+    case Cons(h, t) => Set(h) ++ t.content
+  }
+
+  @isabelle.function(term = "List.member")
+  def contains(v: T): Boolean = (this match {
+    case Cons(h, t) => h == v || t.contains(v)
+    case Nil() => false
+  }) ensuring { _ == (content contains v) }
+
+  @isabelle.function(term = "List.append")
+  def ++(that: List[T]): List[T] = (this match {
+    case Nil() => that
+    case Cons(x, xs) => Cons(x, xs ++ that)
+  }) ensuring { res =>
+    (res.content == this.content ++ that.content) &&
+    (res.size == this.size + that.size) &&
+    (that != Nil[T]() || res == this)
+  }
+
+  def head: T = {
+    require(this != Nil[T]())
+    val Cons(h, _) = this
+    h
+  }
+
+  def tail: List[T] = {
+    require(this != Nil[T]())
+    val Cons(_, t) = this
+    t
+  }
+
+  @isabelle.fullBody
+  def apply(index: BigInt): T = {
+    require(0 <= index && index < size)
+    if (index == BigInt(0)) {
+      head
+    } else {
+      tail(index-1)
+    }
+  }
+
+  @isabelle.function(term = "%xs x. x # xs")
+  def ::(t:T): List[T] = Cons(t, this)
+
+  @isabelle.function(term = "%xs x. xs @ [x]")
+  def :+(t:T): List[T] = {
+    this match {
+      case Nil() => Cons(t, this)
+      case Cons(x, xs) => Cons(x, xs :+ (t))
+    }
+  } ensuring(res => (res.size == size + 1) && (res.content == content ++ Set(t)))
+
+  @isabelle.function(term = "List.rev")
+  def reverse: List[T] = {
+    this match {
+      case Nil() => this
+      case Cons(x,xs) => xs.reverse :+ x
+    }
+  } ensuring (res => (res.size == size) && (res.content == content))
+
+  def take(i: BigInt): List[T] = { (this, i) match {
+    case (Nil(), _) => Nil[T]()
+    case (Cons(h, t), i) =>
+      if (i <= BigInt(0)) {
+        Nil[T]()
+      } else {
+        Cons(h, t.take(i-1))
+      }
+  }} ensuring { res =>
+    res.content.subsetOf(this.content) && (res.size == (
+      if      (i <= 0)         BigInt(0)
+      else if (i >= this.size) this.size
+      else                     i
+    ))
+  }
+
+  def drop(i: BigInt): List[T] = { (this, i) match {
+    case (Nil(), _) => Nil[T]()
+    case (Cons(h, t), i) =>
+      if (i <= BigInt(0)) {
+        Cons[T](h, t)
+      } else {
+        t.drop(i-1)
+      }
+  }} ensuring { res =>
+    res.content.subsetOf(this.content) && (res.size == (
+      if      (i <= 0)         this.size
+      else if (i >= this.size) BigInt(0)
+      else                     this.size - i
+    ))
+  }
+
+  def slice(from: BigInt, to: BigInt): List[T] = {
+    require(0 <= from && from <= to && to <= size)
+    drop(from).take(to-from)
+  }
+
+  def replace(from: T, to: T): List[T] = { this match {
+    case Nil() => Nil[T]()
+    case Cons(h, t) =>
+      val r = t.replace(from, to)
+      if (h == from) {
+        Cons(to, r)
+      } else {
+        Cons(h, r)
+      }
+  }} ensuring { (res: List[T]) =>
+    res.size == this.size &&
+    res.content == (
+      (this.content -- Set(from)) ++
+      (if (this.content contains from) Set(to) else Set[T]())
+    )
+  }
+
+  private def chunk0(s: BigInt, l: List[T], acc: List[T], res: List[List[T]], s0: BigInt): List[List[T]] = {
+    require(s > 0 && s0 >= 0)
+    l match {
+      case Nil() =>
+        if (acc.size > 0) {
+          res :+ acc
+        } else {
+          res
+        }
+      case Cons(h, t) =>
+        if (s0 == BigInt(0)) {
+          chunk0(s, t, Cons(h, Nil()), res :+ acc, s-1)
+        } else {
+          chunk0(s, t, acc :+ h, res, s0-1)
+        }
+    }
+  }
+
+  def chunks(s: BigInt): List[List[T]] = {
+    require(s > 0)
+
+    chunk0(s, this, Nil(), Nil(), s)
+  }
+
+  @isabelle.function(term = "List.zip")
+  def zip[B](that: List[B]): List[(T, B)] = { (this, that) match {
+    case (Cons(h1, t1), Cons(h2, t2)) =>
+      Cons((h1, h2), t1.zip(t2))
+    case _ =>
+      Nil[(T, B)]()
+  }} ensuring { _.size == (
+    if (this.size <= that.size) this.size else that.size
+  )}
+
+  @isabelle.function(term = "%xs x. removeAll x xs")
+  def -(e: T): List[T] = { this match {
+    case Cons(h, t) =>
+      if (e == h) {
+        t - e
+      } else {
+        Cons(h, t - e)
+      }
+    case Nil() =>
+      Nil[T]()
+  }} ensuring { res =>
+    res.size <= this.size &&
+    res.content == this.content -- Set(e)
+  }
+
+  def --(that: List[T]): List[T] = { this match {
+    case Cons(h, t) =>
+      if (that.contains(h)) {
+        t -- that
+      } else {
+        Cons(h, t -- that)
+      }
+    case Nil() =>
+      Nil[T]()
+  }} ensuring { res =>
+    res.size <= this.size &&
+    res.content == this.content -- that.content
+  }
+
+  def &(that: List[T]): List[T] = { this match {
+    case Cons(h, t) =>
+      if (that.contains(h)) {
+        Cons(h, t & that)
+      } else {
+        t & that
+      }
+    case Nil() =>
+      Nil[T]()
+  }} ensuring { res =>
+    res.size <= this.size &&
+    res.content == (this.content & that.content)
+  }
+
+  def padTo(s: BigInt, e: T): List[T] = { (this, s) match {
+    case (_, s) if s <= 0 =>
+      this
+    case (Nil(), s) =>
+      Cons(e, Nil().padTo(s-1, e))
+    case (Cons(h, t), s) =>
+      Cons(h, t.padTo(s-1, e))
+  }} ensuring { res =>
+    if (s <= this.size)
+      res == this
+    else
+      res.size == s &&
+      res.content == this.content ++ Set(e)
+  }
+
+  def find(e: T): Option[BigInt] = { this match {
+    case Nil() => None[BigInt]()
+    case Cons(h, t) =>
+      if (h == e) {
+        Some[BigInt](0)
+      } else {
+        t.find(e) match {
+          case None()  => None[BigInt]()
+          case Some(i) => Some(i+1)
+        }
+      }
+    }} ensuring { res => !res.isDefined || (this.content contains e) }
+
+  def init: List[T] = {
+    require(!isEmpty)
+    ((this : @unchecked) match {
+      case Cons(h, Nil()) =>
+        Nil[T]()
+      case Cons(h, t) =>
+        Cons[T](h, t.init)
+    })
+  } ensuring ( (r: List[T]) =>
+    r.size == this.size - 1 &&
+    r.content.subsetOf(this.content)
+  )
+
+  def last: T = {
+    require(!isEmpty)
+    (this : @unchecked) match {
+      case Cons(h, Nil()) => h
+      case Cons(_, t) => t.last
+    }
+  } ensuring { this.contains _ }
+
+  def lastOption: Option[T] = { this match {
+    case Cons(h, t) =>
+      t.lastOption.orElse(Some(h))
+    case Nil() =>
+      None[T]()
+  }} ensuring { _.isDefined != this.isEmpty }
+
+  def headOption: Option[T] = { this match {
+    case Cons(h, t) =>
+      Some(h)
+    case Nil() =>
+      None[T]()
+  }} ensuring { _.isDefined != this.isEmpty }
+
+  def tailOption: Option[List[T]] = { this match {
+    case Cons(h, t) =>
+      Some(t)
+    case Nil() =>
+      None[List[T]]()
+  }} ensuring { _.isDefined != this.isEmpty }
+
+
+  def unique: List[T] = this match {
+    case Nil() => Nil()
+    case Cons(h, t) =>
+      Cons(h, t.unique - h)
+  }
+
+  def splitAt(e: T): List[List[T]] =  split(Cons(e, Nil()))
+
+  def split(seps: List[T]): List[List[T]] = this match {
+    case Cons(h, t) =>
+      if (seps.contains(h)) {
+        Cons(Nil(), t.split(seps))
+      } else {
+        val r = t.split(seps)
+        Cons(Cons(h, r.head), r.tail)
+      }
+    case Nil() =>
+      Cons(Nil(), Nil())
+  }
+
+  def evenSplit: (List[T], List[T]) = {
+    val c = size/2
+    (take(c), drop(c))
+  }
+
+  def splitAtIndex(index: BigInt) : (List[T], List[T]) = { this match {
+    case Nil() => (Nil[T](), Nil[T]())
+    case Cons(h, rest) => {
+      if (index <= BigInt(0)) {
+        (Nil[T](), this)
+      } else {
+        val (left,right) = rest.splitAtIndex(index - 1)
+        (Cons[T](h,left), right)
+      }
+    }
+  }} ensuring { (res:(List[T],List[T])) =>
+    res._1 ++ res._2 == this &&
+    res._1 == take(index) && res._2 == drop(index)
+  }
+
+  def updated(i: BigInt, y: T): List[T] = {
+    require(0 <= i && i < this.size)
+    this match {
+      case Cons(x, tail) if i == 0 =>
+        Cons[T](y, tail)
+      case Cons(x, tail) =>
+        Cons[T](x, tail.updated(i - 1, y))
+    }
+  }
+
+  private def insertAtImpl(pos: BigInt, l: List[T]): List[T] = {
+    require(0 <= pos && pos <= size)
+    if(pos == BigInt(0)) {
+      l ++ this
+    } else {
+      this match {
+        case Cons(h, t) =>
+          Cons(h, t.insertAtImpl(pos-1, l))
+        case Nil() =>
+          l
+      }
+    }
+  } ensuring { res =>
+    res.size == this.size + l.size &&
+    res.content == this.content ++ l.content
+  }
+
+  def insertAt(pos: BigInt, l: List[T]): List[T] = {
+    require(-pos <= size && pos <= size)
+    if(pos < 0) {
+      insertAtImpl(size + pos, l)
+    } else {
+      insertAtImpl(pos, l)
+    }
+  } ensuring { res =>
+    res.size == this.size + l.size &&
+    res.content == this.content ++ l.content
+  }
+
+  def insertAt(pos: BigInt, e: T): List[T] = {
+    require(-pos <= size && pos <= size)
+    insertAt(pos, Cons[T](e, Nil()))
+  } ensuring { res =>
+    res.size == this.size + 1 &&
+    res.content == this.content ++ Set(e)
+  }
+
+  private def replaceAtImpl(pos: BigInt, l: List[T]): List[T] = {
+    require(0 <= pos && pos <= size)
+    if (pos == BigInt(0)) {
+      l ++ this.drop(l.size)
+    } else {
+      this match {
+        case Cons(h, t) =>
+          Cons(h, t.replaceAtImpl(pos-1, l))
+        case Nil() =>
+          l
+      }
+    }
+  } ensuring { res =>
+    res.content.subsetOf(l.content ++ this.content)
+  }
+
+  def replaceAt(pos: BigInt, l: List[T]): List[T] = {
+    require(-pos <= size && pos <= size)
+    if(pos < 0) {
+      replaceAtImpl(size + pos, l)
+    } else {
+      replaceAtImpl(pos, l)
+    }
+  } ensuring { res =>
+    res.content.subsetOf(l.content ++ this.content)
+  }
+
+  def rotate(s: BigInt): List[T] = {
+    if (isEmpty) {
+      Nil[T]()
+    } else {
+      drop(s mod size) ++ take(s mod size)
+    }
+  } ensuring { res =>
+    res.size == this.size
+  }
+
+  @isabelle.function(term = "List.null")
+  def isEmpty = this match {
+    case Nil() => true
+    case _ => false
+  }
+
+  def nonEmpty = !isEmpty
+
+  // Higher-order API
+  @isabelle.function(term = "%xs f. List.list.map f xs")
+  def map[R](f: T => R): List[R] = { this match {
+    case Nil() => Nil[R]()
+    case Cons(h, t) => f(h) :: t.map(f)
+  }} ensuring { _.size == this.size }
+
+  @isabelle.function(term = "%bs a f. List.foldl f a bs")
+  def foldLeft[R](z: R)(f: (R,T) => R): R = this match {
+    case Nil() => z
+    case Cons(h,t) => t.foldLeft(f(z,h))(f)
+  }
+
+  @isabelle.function(term = "%as b f. List.foldr f as b")
+  def foldRight[R](z: R)(f: (T,R) => R): R = this match {
+    case Nil() => z
+    case Cons(h, t) => f(h, t.foldRight(z)(f))
+  }
+
+  def scanLeft[R](z: R)(f: (R,T) => R): List[R] = { this match {
+    case Nil() => z :: Nil()
+    case Cons(h,t) => z :: t.scanLeft(f(z,h))(f)
+  }} ensuring { !_.isEmpty }
+
+  def scanRight[R](z: R)(f: (T,R) => R): List[R] = { this match {
+    case Nil() => z :: Nil[R]()
+    case Cons(h, t) =>
+      val rest@Cons(h1,_) = t.scanRight(z)(f)
+      f(h, h1) :: rest
+  }} ensuring { !_.isEmpty }
+
+  @isabelle.function(term = "List.bind")
+  def flatMap[R](f: T => List[R]): List[R] =
+    ListOps.flatten(this map f)
+
+  def filter(p: T => Boolean): List[T] = { this match {
+    case Nil() => Nil[T]()
+    case Cons(h, t) if p(h) => Cons(h, t.filter(p))
+    case Cons(_, t) => t.filter(p)
+  }} ensuring { res =>
+    res.size <= this.size &&
+    res.content.subsetOf(this.content) &&
+    res.forall(p)
+  }
+
+  def filterNot(p: T => Boolean): List[T] =
+    filter(!p(_)) ensuring { res =>
+      res.size <= this.size &&
+      res.content.subsetOf(this.content) &&
+      res.forall(!p(_))
+    }
+
+  def partition(p: T => Boolean): (List[T], List[T]) = { this match {
+    case Nil() => (Nil[T](), Nil[T]())
+    case Cons(h, t) =>
+      val (l1, l2) = t.partition(p)
+      if (p(h)) (h :: l1, l2)
+      else      (l1, h :: l2)
+  }} ensuring { res =>
+    res._1 == filter(p) &&
+    res._2 == filterNot(p)
+  }
+
+  // In case we implement for-comprehensions
+  def withFilter(p: T => Boolean) = filter(p)
+
+  @isabelle.function(term = "%xs P. List.list_all P xs")
+  def forall(p: T => Boolean): Boolean = this match {
+    case Nil() => true
+    case Cons(h, t) => p(h) && t.forall(p)
+  }
+
+  @isabelle.function(term = "%xs P. List.list_ex P xs")
+  def exists(p: T => Boolean) = !forall(!p(_))
+
+  @isabelle.function(term = "%xs P. List.find P xs")
+  def find(p: T => Boolean): Option[T] = { this match {
+    case Nil() => None[T]()
+    case Cons(h, t) => if (p(h)) Some(h) else t.find(p)
+  }} ensuring { res => res match {
+    case Some(r) => (content contains r) && p(r)
+    case None() => true
+  }}
+
+  def groupBy[R](f: T => R): Map[R, List[T]] = this match {
+    case Nil() => Map.empty[R, List[T]]
+    case Cons(h, t) =>
+      val key: R = f(h)
+      val rest: Map[R, List[T]] = t.groupBy(f)
+      val prev: List[T] = if (rest isDefinedAt key) rest(key) else Nil[T]()
+      (rest ++ Map((key, h :: prev))) : Map[R, List[T]]
+  }
+
+  def takeWhile(p: T => Boolean): List[T] = { this match {
+    case Cons(h,t) if p(h) => Cons(h, t.takeWhile(p))
+    case _ => Nil[T]()
+  }} ensuring { res =>
+    (res forall p) &&
+    (res.size <= this.size) &&
+    (res.content subsetOf this.content)
+  }
+
+  def dropWhile(p: T => Boolean): List[T] = { this match {
+    case Cons(h,t) if p(h) => t.dropWhile(p)
+    case _ => this
+  }} ensuring { res =>
+    (res.size <= this.size) &&
+    (res.content subsetOf this.content) &&
+    (res.isEmpty || !p(res.head))
+  }
+
+  def count(p: T => Boolean): BigInt = { this match {
+    case Nil() => BigInt(0)
+    case Cons(h, t) =>
+      (if (p(h)) BigInt(1) else BigInt(0)) + t.count(p)
+  }} ensuring {
+    _ == this.filter(p).size
+  }
+
+  def indexWhere(p: T => Boolean): BigInt = { this match {
+    case Nil() => BigInt(-1)
+    case Cons(h, _) if p(h) => BigInt(0)
+    case Cons(_, t) => 
+      val rec = t.indexWhere(p)
+      if (rec >= 0) rec + BigInt(1)
+      else BigInt(-1)
+  }} ensuring { 
+    _ >= BigInt(0) == (this exists p)
+  }
+
+
+  // Translation to other collections
+  def toSet: Set[T] = foldLeft(Set[T]()){ 
+    case (current, next) => current ++ Set(next)
+  }
+
+}
+
+@isabelle.constructor(name = "List.list.Cons")
+case class Cons[T](h: T, t: List[T]) extends List[T]
+
+@isabelle.constructor(name = "List.list.Nil")
+case class Nil[T]() extends List[T]
+
+object List {
+  @ignore
+  def apply[T](elems: T*): List[T] = {
+    var l: List[T] = Nil[T]()
+    for (e <- elems) {
+      l = Cons(e, l)
+    }
+    l.reverse
+  }
+
+  @library
+  def fill[T](n: BigInt)(x: T) : List[T] = {
+    if (n <= 0) Nil[T]
+    else Cons[T](x, fill[T](n-1)(x))
+  } ensuring(res => (res.content == (if (n <= BigInt(0)) Set.empty[T] else Set(x))) &&
+                    res.size == (if (n <= BigInt(0)) BigInt(0) else n))
+}
+
+@library
+object ListOps {
+  @isabelle.function(term = "List.concat")
+  def flatten[T](ls: List[List[T]]): List[T] = ls match {
+    case Cons(h, t) => h ++ flatten(t)
+    case Nil() => Nil()
+  }
+
+  def isSorted(ls: List[BigInt]): Boolean = ls match {
+    case Nil() => true
+    case Cons(_, Nil()) => true
+    case Cons(h1, Cons(h2, _)) if(h1 > h2) => false
+    case Cons(_, t) => isSorted(t)
+  }
+
+  def sorted(ls: List[BigInt]): List[BigInt] = { ls match {
+    case Cons(h, t) => sortedIns(sorted(t), h)
+    case Nil() => Nil[BigInt]()
+  }} ensuring { isSorted _ }
+
+  private def sortedIns(ls: List[BigInt], v: BigInt): List[BigInt] = {
+    require(isSorted(ls))
+    ls match {
+      case Nil() => Cons(v, Nil())
+      case Cons(h, t) =>
+        if (v <= h) {
+          Cons(v, t)
+        } else {
+          Cons(h, sortedIns(t, v))
+        }
+    }
+  } ensuring { isSorted _ }
+
+  def toMap[K, V](l: List[(K, V)]): Map[K, V] = l.foldLeft(Map[K, V]()){
+    case (current, (k, v)) => current ++ Map(k -> v)
+  }
+}
+
+// 'Cons' Extractor
+object :: {
+  @library
+  def unapply[A](l: List[A]): Option[(A, List[A])] = l match {
+    case Nil() => None()
+    case Cons(x, xs) => Some((x, xs))
+  }
+}
+
+
+import ListOps._
+
+@library
+object ListSpecs {
+  def snocIndex[T](l: List[T], t: T, i: BigInt): Boolean = {
+    require(0 <= i && i < l.size + 1)
+    ((l :+ t).apply(i) == (if (i < l.size) l(i) else t)) because
+    (l match {
+      case Nil() => true
+      case Cons(x, xs) => if (i > 0) snocIndex[T](xs, t, i-1) else true
+    })
+  }.holds
+
+  @induct
+  @isabelle.lemma(about = "leon.collection.List.apply")
+  def consIndex[T](h: T, t: List[T], i: BigInt): Boolean = {
+    require(0 <= i && i < t.size + 1)
+    (h :: t).apply(i) == (if (i == 0) h else t.apply(i - 1))
+  }.holds
+
+  def reverseIndex[T](l: List[T], i: BigInt): Boolean = {
+    require(0 <= i && i < l.size)
+    (l.reverse.apply(i) == l.apply(l.size - 1 - i)) because
+      (l match {
+        case Nil() => true
+        case Cons(x,xs) => snocIndex(xs.reverse, x, i) && (if (i < xs.size) consIndex(x, xs, l.size - 1 - i) && reverseIndex[T](xs, i) else true)
+      })
+  }.holds
+
+  def snocLast[T](l: List[T], x: T): Boolean = {
+    ((l :+ x).last == x) because {
+      l match {
+        case Nil() => true
+        case Cons(y, ys) => {
+          ((y :: ys) :+ x).last   ==| trivial         |
+          (y :: (ys :+ x)).last   ==| trivial         |
+          (ys :+ x).last          ==| snocLast(ys, x) |
+          x
+        }.qed
+      }
+    }
+  }.holds
+
+  def headReverseLast[T](l: List[T]): Boolean = {
+    require (!l.isEmpty)
+    (l.head == l.reverse.last) because {
+      val Cons(x, xs) = l;
+      {
+        (x :: xs).head           ==| trivial                 |
+        x                        ==| snocLast(xs.reverse, x) |
+        (xs.reverse :+ x).last   ==| trivial                 |
+        (x :: xs).reverse.last
+      }.qed
+    }
+  }.holds
+
+  def appendIndex[T](l1: List[T], l2: List[T], i: BigInt): Boolean = {
+    require(0 <= i && i < l1.size + l2.size)
+    ( (l1 ++ l2).apply(i) == (if (i < l1.size) l1(i) else l2(i - l1.size)) ) because {
+      l1 match {
+        case Nil() => true
+        case Cons(x,xs) =>
+          (i != BigInt(0)) ==> appendIndex[T](xs, l2, i - 1)
+      }
+    }
+  }.holds
+
+  @induct
+  def appendAssoc[T](l1: List[T], l2: List[T], l3: List[T]): Boolean = {
+    (l1 ++ l2) ++ l3 == l1 ++ (l2 ++ l3)
+  }.holds
+
+  @induct
+  def rightUnitAppend[T](l1: List[T]): Boolean = {
+    l1 ++ Nil() == l1
+  }.holds
+
+  // This follows immediately from the definition of `++` but we
+  // include it here anyway for completeness.
+  def leftUnitAppend[T](l1: List[T]): Boolean = {
+    Nil() ++ l1 == l1
+  }.holds
+
+  def snocIsAppend[T](l: List[T], t: T): Boolean = {
+    ( (l :+ t) == l ++ Cons[T](t, Nil()) ) because {
+      l match {
+        case Nil() => true
+        case Cons(x,xs) => snocIsAppend(xs,t)
+      }
+    }
+  }.holds
+
+  def snocAfterAppend[T](l1: List[T], l2: List[T], t: T): Boolean = {
+    ( (l1 ++ l2) :+ t == l1 ++ (l2 :+ t) ) because {
+      l1 match {
+        case Nil() => true
+        case Cons(x,xs) => snocAfterAppend(xs,l2,t)
+      }
+    }
+  }.holds
+
+  def snocReverse[T](l: List[T], t: T): Boolean = {
+    ( (l :+ t).reverse == Cons(t, l.reverse) ) because {
+      l match {
+        case Nil() => true
+        case Cons(x,xs) => snocReverse(xs,t)
+      }
+    }
+  }.holds
+
+  def reverseReverse[T](l: List[T]): Boolean = {
+    l.reverse.reverse == l because {
+      l match {
+        case Nil()       => trivial
+        case Cons(x, xs) => {
+          (xs.reverse :+ x).reverse ==| snocReverse[T](xs.reverse, x) |
+          x :: xs.reverse.reverse   ==| reverseReverse[T](xs)         |
+          (x :: xs)
+        }.qed
+      }
+    }
+  }.holds
+
+  def reverseAppend[T](l1: List[T], l2: List[T]): Boolean = {
+    ( (l1 ++ l2).reverse == l2.reverse ++ l1.reverse ) because {
+      l1 match {
+        case Nil() => {
+          (Nil() ++ l2).reverse         ==| trivial                     |
+          l2.reverse                    ==| rightUnitAppend(l2.reverse) |
+          l2.reverse ++ Nil()           ==| trivial                     |
+          l2.reverse ++ Nil().reverse
+        }.qed
+        case Cons(x, xs) => {
+          ((x :: xs) ++ l2).reverse         ==| trivial               |
+          (x :: (xs ++ l2)).reverse         ==| trivial               |
+          (xs ++ l2).reverse :+ x           ==| reverseAppend(xs, l2) |
+          (l2.reverse ++ xs.reverse) :+ x   ==|
+            snocAfterAppend(l2.reverse, xs.reverse, x)                |
+          l2.reverse ++ (xs.reverse :+ x)   ==| trivial               |
+          l2.reverse ++ (x :: xs).reverse
+        }.qed
+      }
+    }
+  }.holds
+
+  def snocFoldRight[A, B](xs: List[A], y: A, z: B, f: (A, B) => B): Boolean = {
+    ( (xs :+ y).foldRight(z)(f) == xs.foldRight(f(y, z))(f) ) because {
+      xs match {
+        case Nil() => true
+        case Cons(x, xs) => snocFoldRight(xs, y, z, f)
+      }
+    }
+  }.holds
+
+  def folds[A, B](xs: List[A], z: B, f: (B, A) => B): Boolean = {
+    val f2 = (x: A, z: B) => f(z, x)
+    ( xs.foldLeft(z)(f) == xs.reverse.foldRight(z)(f2) ) because {
+      xs match {
+        case Nil() => true
+        case Cons(x, xs) => {
+          (x :: xs).foldLeft(z)(f)              ==| trivial               |
+          xs.foldLeft(f(z, x))(f)               ==| folds(xs, f(z, x), f) |
+          xs.reverse.foldRight(f(z, x))(f2)     ==| trivial               |
+          xs.reverse.foldRight(f2(x, z))(f2)    ==|
+            snocFoldRight(xs.reverse, x, z, f2)                           |
+          (xs.reverse :+ x).foldRight(z)(f2)    ==| trivial               |
+          (x :: xs).reverse.foldRight(z)(f2)
+        }.qed
+      }
+    }
+  }.holds
+
+  def scanVsFoldLeft[A, B](l: List[A], z: B, f: (B, A) => B): Boolean = {
+    ( l.scanLeft(z)(f).last == l.foldLeft(z)(f) ) because {
+      l match {
+        case Nil() => true
+        case Cons(x, xs) => scanVsFoldLeft(xs, f(z, x), f)
+      }
+    }
+  }.holds
+
+  //// my hand calculation shows this should work, but it does not seem to be found
+  //def associative[T,U](l1: List[T], l2: List[T], f: List[T] => U, op: (U,U) => U) = {
+  //  f(l1 ++ l2) == op(f(l1), f(l2))
+  //}
+  //
+  //def existsAssoc[T](l1: List[T], l2: List[T], p: T => Boolean) = {
+  //  associative[T, Boolean](l1, l2, _.exists(p), _ || _ )
+  //}.holds
+  //
+  //def forallAssoc[T](l1: List[T], l2: List[T], p: T => Boolean) = {
+  //  associative[T, Boolean](l1, l2, _.exists(p), _ && _ )
+  //}.holds
+
+  @induct
+  def scanVsFoldRight[A,B](l: List[A], z: B, f: (A,B) => B): Boolean = {
+    l.scanRight(z)(f).head == l.foldRight(z)(f)
+  }.holds
+
+  def appendContent[A](l1: List[A], l2: List[A]) = {
+    l1.content ++ l2.content == (l1 ++ l2).content
+  }.holds
+
+  def flattenPreservesContent[T](ls: List[List[T]]): Boolean = {
+    val f: (List[T], Set[T]) => Set[T] = _.content ++ _
+    ( flatten(ls).content == ls.foldRight(Set[T]())(f) ) because {
+      ls match {
+        case Nil() => true
+        case Cons(h, t) => {
+          flatten(h :: t).content                     ==| trivial                       |
+          (h ++ flatten(t)).content                   ==| appendContent(h, flatten(t))  |
+          h.content ++ flatten(t).content             ==| flattenPreservesContent(t)    |
+          h.content ++ t.foldRight(Set[T]())(f)       ==| trivial                       |
+          f(h, Set[T]()) ++ t.foldRight(Set[T]())(f)  ==| trivial                       |
+          (h :: t).foldRight(Set[T]())(f)
+        }.qed
+      }
+    }
+  }.holds
+
+  // A lemma about `append` and `updated`
+  def appendUpdate[T](l1: List[T], l2: List[T], i: BigInt, y: T): Boolean = {
+    require(0 <= i && i < l1.size + l2.size)
+    // induction scheme
+    (l1 match {
+      case Nil() => true
+      case Cons(x, xs) => if (i == 0) true else appendUpdate[T](xs, l2, i - 1, y)
+    }) &&
+      // lemma
+      ((l1 ++ l2).updated(i, y) == (
+        if (i < l1.size)
+          l1.updated(i, y) ++ l2
+        else
+          l1 ++ l2.updated(i - l1.size, y)))
+  }.holds
+
+  // a lemma about `append`, `take` and `drop`
+  def appendTakeDrop[T](l1: List[T], l2: List[T], n: BigInt): Boolean = {
+    //induction scheme
+    (l1 match {
+      case Nil() => true
+      case Cons(x, xs) => if (n <= 0) true else appendTakeDrop[T](xs, l2, n - 1)
+    }) &&
+      // lemma
+      ((l1 ++ l2).take(n) == (
+        if (n < l1.size) l1.take(n)
+        else if (n > l1.size) l1 ++ l2.take(n - l1.size)
+        else l1)) &&
+        ((l1 ++ l2).drop(n) == (
+          if (n < l1.size) l1.drop(n) ++ l2
+          else if (n > l1.size) l2.drop(n - l1.size)
+          else l2))
+  }.holds
+
+  // A lemma about `append` and `insertAt`
+  def appendInsert[T](l1: List[T], l2: List[T], i: BigInt, y: T): Boolean = {
+    require(0 <= i && i <= l1.size + l2.size)
+    (l1 match {
+      case Nil() => true
+      case Cons(x, xs) => if (i == 0) true else appendInsert[T](xs, l2, i - 1, y)
+    }) &&
+      // lemma
+      ((l1 ++ l2).insertAt(i, y) == (
+        if (i < l1.size) l1.insertAt(i, y) ++ l2
+        else l1 ++ l2.insertAt((i - l1.size), y)))
+  }.holds
+
+}
diff --git a/libtest/src/main/scala/leon/collection/package.scala b/libtest/src/main/scala/leon/collection/package.scala
new file mode 100644
index 000000000..8a5ae1707
--- /dev/null
+++ b/libtest/src/main/scala/leon/collection/package.scala
@@ -0,0 +1,25 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import leon.collection.List
+import leon.lang._
+import leon.lang.synthesis.choose
+
+package object collection {
+
+  @internal @library
+  def setToList[A](set: Set[A]): List[A] = choose { 
+    (x: List[A]) => x.content == set
+  }
+
+  @library
+  def setForall[A](set: Set[A], p: A => Boolean): Boolean = 
+    setToList(set).forall(p)
+
+  @library
+  def setExists[A](set: Set[A], p: A => Boolean): Boolean =
+    setToList(set).exists(p)
+
+}
diff --git a/libtest/src/main/scala/leon/instrumentation/package.scala b/libtest/src/main/scala/leon/instrumentation/package.scala
new file mode 100644
index 000000000..a6e7545c0
--- /dev/null
+++ b/libtest/src/main/scala/leon/instrumentation/package.scala
@@ -0,0 +1,24 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import leon.lang._
+import scala.language.implicitConversions
+
+package object instrumentation {
+  @library
+  def time: BigInt = 0
+
+  @library
+  def stack: BigInt = 0
+
+  @library
+  def rec: BigInt = 0
+
+  @library
+  def depth: BigInt = 0
+
+  @library
+  def tpr: BigInt = 0
+}
diff --git a/libtest/src/main/scala/leon/invariant/package.scala b/libtest/src/main/scala/leon/invariant/package.scala
new file mode 100644
index 000000000..0cc7919d0
--- /dev/null
+++ b/libtest/src/main/scala/leon/invariant/package.scala
@@ -0,0 +1,26 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import leon.lang._
+import scala.language.implicitConversions
+
+package object invariant {
+  @library
+  def tmpl(templateFunc: BigInt => Boolean): Boolean = true
+  @library
+  def tmpl(templateFunc: (BigInt, BigInt) => Boolean): Boolean = true
+  @library
+  def tmpl(templateFunc: (BigInt, BigInt, BigInt) => Boolean): Boolean = true
+  @library
+  def tmpl(templateFunc: (BigInt, BigInt, BigInt, BigInt) => Boolean): Boolean = true
+  @library
+  def tmpl(templateFunc: (BigInt, BigInt, BigInt, BigInt, BigInt) => Boolean): Boolean = true
+
+  @library
+  def ? : BigInt = 0
+
+  @library
+  def ?(id: BigInt) = id
+}
diff --git a/libtest/src/main/scala/leon/lang/Dummy.scala b/libtest/src/main/scala/leon/lang/Dummy.scala
new file mode 100644
index 000000000..41dbe4f90
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Dummy.scala
@@ -0,0 +1,3 @@
+package leon.lang
+
+case class Dummy[T]()
diff --git a/libtest/src/main/scala/leon/lang/Either.scala b/libtest/src/main/scala/leon/lang/Either.scala
new file mode 100644
index 000000000..9cc2ea4e9
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Either.scala
@@ -0,0 +1,27 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang
+
+import leon.annotation._
+
+/**
+ * @author Viktor
+ */
+@library
+sealed abstract class Either[A,B] {
+  def isLeft : Boolean
+  def isRight : Boolean
+  def swap : Either[B,A]
+}
+@library
+case class Left[A,B](content: A) extends Either[A,B] {
+  def isLeft = true
+  def isRight = false
+  def swap = Right[B,A](content)
+}
+@library
+case class Right[A,B](content: B) extends Either[A,B] {
+  def isLeft = false
+  def isRight = true
+  def swap = Left[B,A](content)
+}
\ No newline at end of file
diff --git a/libtest/src/main/scala/leon/lang/Map.scala b/libtest/src/main/scala/leon/lang/Map.scala
new file mode 100644
index 000000000..aff6f26f8
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Map.scala
@@ -0,0 +1,33 @@
+package leon.lang
+import leon.annotation._
+
+object Map {
+  @library
+  @isabelle.function(term = "Map.empty")
+  def empty[A,B] = Map[A,B]()
+
+  @ignore
+  def apply[A,B](elems: (A,B)*) = {
+    new Map[A,B](scala.collection.immutable.Map[A,B](elems : _*))
+  }
+}
+
+@ignore
+case class Map[A, B] (theMap: scala.collection.immutable.Map[A,B]) {
+  def apply(k: A): B = theMap.apply(k)
+  def ++(b: Map[A, B]): Map[A,B] = new Map (theMap ++ b.theMap)
+  def updated(k: A, v: B): Map[A,B] = new Map(theMap.updated(k, v))
+  def contains(a: A): Boolean = theMap.contains(a)
+  def isDefinedAt(a: A): Boolean = contains(a)
+
+  def +(kv: (A, B)): Map[A,B] = updated(kv._1, kv._2)
+  def +(k: A, v: B): Map[A,B] = updated(k, v)
+
+  def getOrElse(k: A, default: B): B = get(k).getOrElse(default)
+
+  def get(k: A): Option[B] = if (contains(k)) {
+    Some[B](apply(k))
+  } else {
+    None[B]()
+  }
+}
diff --git a/libtest/src/main/scala/leon/lang/Option.scala b/libtest/src/main/scala/leon/lang/Option.scala
new file mode 100644
index 000000000..a6f09db68
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Option.scala
@@ -0,0 +1,84 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang
+
+import leon.annotation._
+import leon.collection._
+
+@library
+@isabelle.typ(name = "Option.option")
+sealed abstract class Option[T] {
+
+  def get : T = {
+    require(this.isDefined)
+    (this : @unchecked) match {
+      case Some(x) => x
+    }
+  }
+
+  def getOrElse(default: T) = this match {
+    case Some(v) => v
+    case None()  => default
+  }
+
+  def orElse(or: Option[T]) = { this match {
+    case Some(v) => this
+    case None() => or
+  }} ensuring {
+    _.isDefined == this.isDefined || or.isDefined
+  }
+
+  def isEmpty = this match {
+    case Some(v) => false
+    case None() =>  true
+  }
+
+  def nonEmpty  = !isEmpty
+
+  def isDefined = !isEmpty
+
+
+  // Higher-order API
+  @isabelle.function(term = "%x f. Option.map_option f x")
+  def map[R](f: T => R) = { this match {
+    case None() => None[R]()
+    case Some(x) => Some(f(x))
+  }} ensuring { _.isDefined == this.isDefined }
+
+  @isabelle.function(term = "Option.bind")
+  def flatMap[R](f: T => Option[R]) = this match {
+    case None() => None[R]()
+    case Some(x) => f(x)
+  }
+
+  def filter(p: T => Boolean) = this match {
+    case Some(x) if p(x) => Some(x)
+    case _ => None[T]()
+  }
+
+  def withFilter(p: T => Boolean) = filter(p)
+
+  def forall(p: T => Boolean) = this match {
+    case Some(x) if !p(x) => false 
+    case _ => true
+  }
+
+  def exists(p: T => Boolean) = !forall(!p(_))
+
+  // Transformation to other collections
+  def toList: List[T] = this match {
+    case None() => Nil[T]()
+    case Some(x) => List(x)
+  }
+  
+  def toSet: Set[T] = this match {
+    case None() => Set[T]()
+    case Some(x) => Set(x)
+  }
+}
+
+@isabelle.constructor(name = "Option.option.Some")
+case class Some[T](v: T) extends Option[T]
+
+@isabelle.constructor(name = "Option.option.None")
+case class None[T]() extends Option[T]
diff --git a/libtest/src/main/scala/leon/lang/Rational.scala b/libtest/src/main/scala/leon/lang/Rational.scala
new file mode 100644
index 000000000..1bcb679a0
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Rational.scala
@@ -0,0 +1,85 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang
+
+import leon.annotation._
+
+import scala.language.implicitConversions
+
+@library
+case class Rational(numerator: BigInt, denominator: BigInt) {
+
+  require(this.isRational)
+
+  def +(that: Rational): Rational = {
+    Rational(this.numerator*that.denominator + that.numerator*this.denominator, this.denominator*that.denominator)
+  } ensuring(res => res.isRational)
+
+  def -(that: Rational): Rational = {
+    Rational(this.numerator*that.denominator - that.numerator*this.denominator, this.denominator*that.denominator)
+  } ensuring(res => res.isRational)
+
+  def unary_- : Rational = {
+    Rational(-this.numerator, this.denominator)
+  } ensuring(res => res.isRational)
+
+  def *(that: Rational): Rational = {
+    Rational(this.numerator*that.numerator, this.denominator*that.denominator)
+  } ensuring(res => res.isRational)
+
+  def /(that: Rational): Rational = {
+    require(that.nonZero)
+    val newNumerator = this.numerator*that.denominator
+    val newDenominator = this.denominator*that.numerator
+    normalize(newNumerator, newDenominator)
+  } ensuring(res => res.isRational)
+
+  def reciprocal: Rational = {
+    require(this.nonZero)
+    normalize(this.denominator, this.numerator)
+  } ensuring(res => res.isRational)
+
+
+  def ~(that: Rational): Boolean = {
+    this.numerator*that.denominator == that.numerator*this.denominator
+  }
+
+  def <(that: Rational): Boolean = {
+    this.numerator*that.denominator < that.numerator*this.denominator
+  }
+
+  def <=(that: Rational): Boolean = {
+    this.numerator*that.denominator <= that.numerator*this.denominator
+  }
+
+  def >(that: Rational): Boolean = {
+    this.numerator*that.denominator > that.numerator*this.denominator
+  }
+
+  def >=(that: Rational): Boolean = {
+    this.numerator*that.denominator >= that.numerator*this.denominator
+  }
+
+  def nonZero: Boolean = {
+    numerator != 0
+  }
+
+  private def isRational: Boolean = denominator > 0
+
+  private def normalize(num: BigInt, den: BigInt): Rational = {
+    require(den != 0)
+    if(den < 0)
+      Rational(-num, -den)
+    else
+      Rational(num, den)
+  }
+}
+
+@library
+object Rational {
+
+  implicit def bigIntToRat(n: BigInt): Rational = Rational(n, 1)
+
+  def apply(n: BigInt): Rational = Rational(n, 1)
+
+}
diff --git a/libtest/src/main/scala/leon/lang/Real.scala b/libtest/src/main/scala/leon/lang/Real.scala
new file mode 100644
index 000000000..9d600b3b6
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Real.scala
@@ -0,0 +1,25 @@
+package leon.lang
+import leon.annotation._
+
+@ignore
+class Real {
+
+   def +(a: Real): Real = ???
+   def -(a: Real): Real = ???
+   def *(a: Real): Real = ???
+   def /(a: Real): Real = ???
+
+   def unary_- : Real = ???
+
+   def > (a: Real): Boolean = ???
+   def >=(a: Real): Boolean = ???
+   def < (a: Real): Boolean = ???
+   def <=(a: Real): Boolean = ???
+
+}
+
+@ignore
+object Real {
+  def apply(n: BigInt, d: BigInt): Real = ???
+  def apply(n: BigInt): Real = ???
+}
diff --git a/libtest/src/main/scala/leon/lang/Set.scala b/libtest/src/main/scala/leon/lang/Set.scala
new file mode 100644
index 000000000..8f4595d33
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/Set.scala
@@ -0,0 +1,26 @@
+package leon.lang
+import leon.annotation._
+
+object Set {
+   @library
+   def empty[T] = Set[T]()
+
+   @ignore
+   def apply[T](elems: T*) = {
+     new Set[T](scala.collection.immutable.Set[T](elems : _*))
+   }
+}
+
+@ignore
+case class Set[T](val theSet: scala.collection.immutable.Set[T]) {
+   def +(a: T): Set[T] = new Set[T](theSet + a)
+   def ++(a: Set[T]): Set[T] = new Set[T](theSet ++ a.theSet)
+   def -(a: T): Set[T] = new Set[T](theSet - a)
+   def --(a: Set[T]): Set[T] = new Set[T](theSet -- a.theSet)
+   def size: BigInt = theSet.size
+   def contains(a: T): Boolean = theSet.contains(a)
+   def isEmpty: Boolean = theSet.isEmpty
+   def subsetOf(b: Set[T]): Boolean = theSet.subsetOf(b.theSet)
+   def &(a: Set[T]): Set[T] = new Set[T](theSet & a.theSet)
+}
+
diff --git a/libtest/src/main/scala/leon/lang/StrOps.scala b/libtest/src/main/scala/leon/lang/StrOps.scala
new file mode 100644
index 000000000..723ce5be8
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/StrOps.scala
@@ -0,0 +1,23 @@
+package leon.lang
+
+import leon.annotation._
+
+/**
+ * @author Mikael
+ */
+object StrOps {
+  @ignore
+  def concat(a: String, b: String): String = {
+    a + b
+  }
+  @ignore
+  def length(a: String): BigInt = {
+    BigInt(a.length)
+  }
+  @ignore
+  def substring(a: String, start: BigInt, end: BigInt): String = {
+    if(start > end || start >= length(a) || end <= 0) "" else a.substring(start.toInt, end.toInt)
+  }
+  @internal @library
+  def escape(s: String): String = s // Wrong definition, but it will eventually use StringEscapeUtils.escapeJava(s) at parsing and compile time.
+}
\ No newline at end of file
diff --git a/libtest/src/main/scala/leon/lang/package.scala b/libtest/src/main/scala/leon/lang/package.scala
new file mode 100644
index 000000000..ab713a588
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/package.scala
@@ -0,0 +1,85 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import scala.language.implicitConversions
+
+package object lang {
+
+  implicit class BooleanDecorations(val underlying: Boolean) {
+    @inline
+    def holds : Boolean = {
+      underlying
+    } ensuring {
+      _ == true
+    }
+
+    @inline
+    def ==>(that: => Boolean): Boolean = {
+      if (underlying) that else true
+    }
+  }
+  
+  @ignore def forall[A](p: A => Boolean): Boolean = sys.error("Can't execute quantified proposition")
+  @ignore def forall[A,B](p: (A,B) => Boolean): Boolean = sys.error("Can't execute quantified proposition")
+  @ignore def forall[A,B,C](p: (A,B,C) => Boolean): Boolean = sys.error("Can't execute quantified proposition")
+  @ignore def forall[A,B,C,D](p: (A,B,C,D) => Boolean): Boolean = sys.error("Can't execute quantified proposition")
+  @ignore def forall[A,B,C,D,E](p: (A,B,C,D,E) => Boolean): Boolean = sys.error("Can't execute quantified proposition")
+
+  @ignore
+  object InvariantFunction {
+    def invariant(x: Boolean): Unit = ()
+  }
+
+  @ignore
+  implicit def while2Invariant(u: Unit) = InvariantFunction
+
+  @ignore
+  def error[T](reason: java.lang.String): T = sys.error(reason)
+
+  @ignore
+  def old[T](value: T): T = value
+
+  @ignore
+  implicit class Passes[A,B](io : (A,B)) {
+    val (in, out) = io
+    def passes(tests : A => B ) : Boolean =
+      try { tests(in) == out } catch { case _ : MatchError => true }
+  }
+  
+  @ignore
+  def byExample[A, B](in: A, out: B): Boolean = {
+    sys.error("Can't execute by example proposition")
+  }
+  
+  implicit class SpecsDecorations[A](val underlying: A) {
+    @ignore
+    def computes(target: A) = {
+      underlying
+    } ensuring {
+      res => res == target
+    }
+    
+    @ignore // Programming by example: ???[String] ask input
+    def ask[I](input : I) = {
+      underlying
+    } ensuring {
+      (res: A) => byExample(input, res)
+    }
+  }
+
+  @ignore
+  object BigInt {
+    def apply(b: Int): scala.math.BigInt = scala.math.BigInt(b)
+    def apply(b: String): scala.math.BigInt = scala.math.BigInt(b)
+
+    def unapply(b: scala.math.BigInt): scala.Option[Int] = {
+      if(b >= Integer.MIN_VALUE && b <= Integer.MAX_VALUE) {
+        scala.Some(b.intValue())
+      } else {
+        scala.None
+      }
+    }
+  }
+}
diff --git a/libtest/src/main/scala/leon/lang/synthesis/Oracle.scala b/libtest/src/main/scala/leon/lang/synthesis/Oracle.scala
new file mode 100644
index 000000000..7af697638
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/synthesis/Oracle.scala
@@ -0,0 +1,33 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang.synthesis
+
+import leon.annotation._
+import leon.lang._
+
+import scala.annotation._
+
+@implicitNotFound("No Oracle available for this source of non-determinism, please provide an implicit arg <: Oracle[T]")
+@ignore
+@library
+abstract class Oracle[T] {
+  def head: T = this match {
+    case Node(_, h, _) => h
+    case Leaf(h) => h
+  }
+
+  def left: Oracle[T] = this match {
+    case Node(l, _, _) => l
+    case Leaf(_) => this
+  }
+
+  def right: Oracle[T] = this match {
+    case Node(_, _, r) => r
+    case Leaf(_) => this
+  }
+}
+
+@ignore
+case class Node[T](l: Oracle[T], v: T, r: Oracle[T]) extends Oracle[T];
+@ignore
+case class Leaf[T](v: T) extends Oracle[T];
diff --git a/libtest/src/main/scala/leon/lang/synthesis/package.scala b/libtest/src/main/scala/leon/lang/synthesis/package.scala
new file mode 100644
index 000000000..cb5699279
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/synthesis/package.scala
@@ -0,0 +1,41 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang
+
+import leon.annotation._
+
+import scala.language.implicitConversions
+import scala.annotation.implicitNotFound
+
+package object synthesis {
+  @ignore
+  private def noImpl = throw new RuntimeException("Synthesis construct implementation not supported")
+
+  @ignore
+  def choose[A](predicate: A => Boolean): A = noImpl
+  @ignore
+  def choose[A, B](predicate: (A, B) => Boolean): (A, B) = noImpl
+  @ignore
+  def choose[A, B, C](predicate: (A, B, C) => Boolean): (A, B, C) = noImpl
+  @ignore
+  def choose[A, B, C, D](predicate: (A, B, C, D) => Boolean): (A, B, C, D) = noImpl
+  @ignore
+  def choose[A, B, C, D, E](predicate: (A, B, C, D, E) => Boolean): (A, B, C, D, E) = noImpl      
+
+  @ignore
+  def ???[T]: T = noImpl
+
+  @ignore
+  def ?[T](e1: T): T = if(???[Boolean]) e1 else ???[T]
+
+  @ignore
+  def ?[T](e1: T, es: T*): T = noImpl
+
+  // Repair with Holes
+  @ignore
+  def ?![T](es: Any*): T = noImpl
+
+  @ignore
+  def withOracle[A, R](body: Oracle[A] => R): R = noImpl
+
+}
diff --git a/libtest/src/main/scala/leon/lang/xlang/package.scala b/libtest/src/main/scala/leon/lang/xlang/package.scala
new file mode 100644
index 000000000..6f29c5d33
--- /dev/null
+++ b/libtest/src/main/scala/leon/lang/xlang/package.scala
@@ -0,0 +1,13 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon.lang
+
+import leon.annotation._
+
+package object xlang {
+  @ignore
+  def waypoint[A](i: Int, expr: A): A = expr
+
+  @ignore
+  def epsilon[A](pred: (A) => Boolean): A = throw new RuntimeException("Implementation not supported")
+}
diff --git a/libtest/src/main/scala/leon/lazy/package.scala b/libtest/src/main/scala/leon/lazy/package.scala
new file mode 100644
index 000000000..7c0f57582
--- /dev/null
+++ b/libtest/src/main/scala/leon/lazy/package.scala
@@ -0,0 +1,90 @@
+/* Copyright 2009-2013 EPFL, Lausanne */
+
+package leon
+
+import annotation._
+import lang._
+import scala.language.implicitConversions
+import scala.annotation.StaticAnnotation
+
+package object lazyeval {
+
+  @library
+  def $[T](f: => T) = Lazy(Unit => f)
+  //def apply[T](f: => T) = new $(Unit => f)
+
+  @library
+  def eager[T](x: => T) = Lazy(Unit => x)
+
+  /**
+   * implicit conversion from eager evaluation to lazy evaluation
+   */
+  @library
+  @inline
+  implicit def eagerToLazy[T](x: T) = eager(x)
+
+  /**
+   * For accessing in and out states.
+   * Should be used only in ensuring.
+   */
+  @library
+  @extern
+  def inState[T]: Set[Lazy[T]] = sys.error("inState method is not executable!")
+
+  @library
+  @extern
+  def outState[T]: Set[Lazy[T]] = sys.error("outState method is not executable")
+
+  /**
+   * Helper class for invoking with a given state instead of the implicit state
+   */
+  @library
+  case class WithState[T](v: T) {
+    @extern
+    def withState[U](u: Set[Lazy[U]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V](u: Set[Lazy[U]], v: Set[Lazy[V]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W](u: Set[Lazy[U]], v: Set[Lazy[V]], w: Set[Lazy[W]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W, X](u: Set[Lazy[U]], v: Set[Lazy[V]], w: Set[Lazy[W]], x: Set[Lazy[X]]): T = sys.error("withState method is not executable!")
+    // extend this to more arguments if needed
+  }
+
+  @library
+  @inline
+  implicit def toWithState[T](x: T) = new WithState(x)
+
+  /**
+   * annotations for monotonicity proofs.
+   * Note implemented as of now.
+   * Let foo be the method that has the annotation.
+   * The given name `methodname` should have the following form:
+   *  m(arg1, ..., argn, substate-Set1,..., substate-Setn, superstate-Set1, ..., superstate-Setn)
+   */
+  @ignore
+  class monoproof(methodname: String) extends StaticAnnotation
+
+  @library
+  case class Lazy[T](f: Unit => T) {
+    @extern
+    lazy val value = {
+      val x = f(())
+      eval = true
+      x
+    }
+    def * = f(())
+
+    @ignore
+    var eval = false // is this thread safe ?
+
+    @extern
+    def isEvaluated = eval
+
+    @extern
+    def isSuspension[T](f: T): Boolean = sys.error("isSuspensionOf method is not executable")
+  }
+}
\ No newline at end of file
diff --git a/libtest/src/main/scala/leon/math/package.scala b/libtest/src/main/scala/leon/math/package.scala
new file mode 100644
index 000000000..8eb5f3479
--- /dev/null
+++ b/libtest/src/main/scala/leon/math/package.scala
@@ -0,0 +1,18 @@
+package leon
+import leon.annotation._
+
+package object math {
+
+  @library
+  def min(i1: Int, i2: Int) = if (i1 <= i2) i1 else i2
+
+  @library
+  def max(i1: Int, i2: Int) = if (i1 >= i2) i1 else i2
+
+  @library
+  def min(i1: BigInt, i2: BigInt) = if (i1 <= i2) i1 else i2
+
+  @library
+  def max(i1: BigInt, i2: BigInt) = if (i1 >= i2) i1 else i2
+
+}
diff --git a/libtest/src/main/scala/leon/mem/package.scala b/libtest/src/main/scala/leon/mem/package.scala
new file mode 100644
index 000000000..416b737ac
--- /dev/null
+++ b/libtest/src/main/scala/leon/mem/package.scala
@@ -0,0 +1,56 @@
+/* Copyright 2009-2013 EPFL, Lausanne */
+
+package leon
+
+import annotation._
+import lang._
+import scala.language.implicitConversions
+import scala.annotation.StaticAnnotation
+
+package object mem {
+
+  @library
+  @inline
+  implicit def toMem[T](x: T) = new Mem(x)
+
+  /**
+   * accessing in and out states of mems
+   * Should be used only in ensuring.
+   */
+  @library
+  @extern
+  def inState[T]: Set[Mem[T]] = sys.error("inState method is not executable!")
+
+  @library
+  @extern
+  def outState[T]: Set[Mem[T]] = sys.error("outState method is not executable")
+
+  /**
+   * Helper class for invoking with a given state instead of the implicit state
+   */
+  @library
+  case class memWithState[T](v: T) {
+    @extern
+    def withState[U](u: Set[Mem[U]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V](u: Set[Mem[U]], v: Set[Mem[V]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]]): T = sys.error("withState method is not executable!")
+
+    @extern
+    def withState[U, V, W, X](u: Set[Mem[U]], v: Set[Mem[V]], w: Set[Mem[W]], x: Set[Mem[X]]): T = sys.error("withState method is not executable!")
+    // extend this to more arguments if needed
+  }
+
+  @library
+  @inline
+  implicit def toWithState[T](x: T) = new memWithState(x)
+
+  @library
+  case class Mem[T](v: T) {
+    @extern
+    def isCached: Boolean = sys.error("not implemented!")
+  }
+}
\ No newline at end of file
diff --git a/libtest/src/main/scala/leon/monads/state/State.scala b/libtest/src/main/scala/leon/monads/state/State.scala
new file mode 100644
index 000000000..ad47c2464
--- /dev/null
+++ b/libtest/src/main/scala/leon/monads/state/State.scala
@@ -0,0 +1,215 @@
+package leon.monads.state
+
+import leon.collection._
+import leon.lang._
+import leon.annotation._
+import State._
+
+
+@library
+case class State[S, A](runState: S => (A, S)) {
+
+  /** Basic monadic methods */
+
+  // Monadic bind
+  @inline
+  def flatMap[B](f: A => State[S, B]): State[S, B] = {
+    State { s =>
+      val (a, newS) = runState(s)
+      f(a).runState(newS)
+    }
+  }
+
+  // All monads are also functors, and they define the map function
+  @inline
+  def map[B](f: A => B): State[S, B] = {
+    State { s =>
+      val (a, newS) = runState(s)
+      (f(a), newS)
+    }
+  }
+
+  @inline
+  def >>=[B](f: A => State[S, B]): State[S, B] = flatMap(f)
+
+  @inline
+  def >>[B](that: State[S, B]) = >>= ( _ => that )
+
+  @inline
+  // This is unfortunate, but implementing properly would just lead to an error
+  def withFilter(f: A => Boolean): State[S, A] = this
+
+  @inline
+  def eval(s: S) = runState(s)._1
+  @inline
+  def exec(s: S) = runState(s)._2
+
+  // eval with arguments flipped
+  @inline
+  def >:: (s: S) = eval(s)
+
+  def apply(s: S) = runState(s)
+
+}
+
+@library
+object State {
+
+  @inline
+  def get[A]: State[A, A] = State( a => (a, a) )
+
+  @inline
+  def gets[S, A](f: S => A): State[S, A] = for {
+    s <- get[S]
+  } yield f(s)
+
+  @inline
+  def put[S](s: S): State[S, Unit] = State { _ => ((), s) }
+
+  @inline
+  def modify[S](f: S => S): State[S, Unit] = for {
+    s <- get[S]
+    s2 <- put(f(s))
+  } yield s2
+
+  // Monadic unit
+  @inline
+  def unit[S, A](a: A): State[S, A] = State { s => (a, s) }
+
+  @inline
+  def state[S]: State[S, S] = State(s => (s, s))
+
+  @inline
+  // Left-to-right Kleisli composition of monads
+  def >=>[S, A, B, C](f: A => State[S, B], g: B => State[S, C], a: A): State[S, C] = {
+    for {
+      b <- f(a)
+      c <- g(b)
+    } yield c
+  }
+
+  /* Monadic-List functions */
+
+  def mapM[A, B, S](f: A => State[S, B], l: List[A]): State[S, List[B]] = {
+    l match {
+      case Nil() => unit(Nil[B]())
+      case Cons(x, xs) => for {
+        mx <- f(x)
+        mxs <- mapM(f,xs)
+      } yield mx :: mxs
+    }
+  }
+
+  def mapM_ [A, B, S] (f: A => State[S, B], l: List[A]): State[S, Unit] = {
+    l match {
+      case Nil() => unit(())
+      case Cons(x, xs) => for {
+        mx <- f(x)
+        mxs <- mapM_ (f, xs)
+      } yield ()
+    }
+  }
+
+  def sequence[S, A](l: List[State[S, A]]): State[S, List[A]] = {
+    l.foldRight[State[S, List[A]]](unit(Nil[A]())){
+      case (x, xs) => for {
+        v <- x
+        vs <- xs
+      } yield v :: vs
+    }
+  }
+
+  def filterM[S, A](f: A => State[S, Boolean], l: List[A]): State[S, List[A]] = {
+    l match {
+      case Nil() => unit(Nil[A]())
+      case Cons(x, xs) => for {
+        flg <- f(x)
+        rest <- filterM(f, xs)
+      } yield (if (flg) x :: rest else rest)
+    }
+  }
+
+  //(b -> a -> m b) -> b -> t a -> m b
+  def foldLeftM[S, A, B](f: (B, A) => State[S, B], z: B, l: List[A]): State[S, B] = {
+    l match {
+      case Nil() => unit(z)
+      case Cons(x, xs) =>
+        f(z, x) >>= ( z0 => foldLeftM(f,z0,xs) )
+    }
+  }
+
+  //(b -> a -> m b) -> b -> t a -> m ()
+  def foldLeftM_ [S, A](f: A => State[S, Unit], l: List[A]): State[S, Unit] = {
+    l match {
+      case Nil() => unit(())
+      case Cons(x, xs) =>
+        f(x) >> foldLeftM_ (f, xs)
+    }
+  }
+
+}
+
+@library
+object MonadStateLaws {
+  /* Monadic laws:
+   *
+   * return a >>= k  =  k a
+   * m >>= return  =  m
+   * m >>= (x -> k x >>= h)  =  (m >>= k) >>= h
+   *
+   * Note: We cannot compare State's directly because State contains an anonymous function.
+   * So we have to run them on an initial state.
+   */
+
+  def unitLeftId[A, B, S](a: A, k: A => State[S, B])(s: S): Boolean = {
+    (unit(a) >>= (k))(s) == k(a)(s)
+  }.holds
+
+  def unitRightId[S, A](m: State[S,A])(s:S): Boolean = {
+    (m >>= unit).runState(s) == m.runState(s)
+  }.holds
+
+  def assoc[S, A, B, C](m: State[S,A], k: A => State[S, B], h: B => State[S, C])(s: S) = {
+    (m >>= (x => k(x) >>= h)).runState(s) == (m >>= k >>= h).runState(s)
+  }.holds
+
+  /* This is the same as assoc, but proves in 42sec instead of 50ms!
+  def assoc2[S, A, B, C](m: State[S,A], k: A => State[S, B], h: B => State[S, C])(s: S) = {
+    val lhs = for {
+      x <- m
+      y <- for {
+        z <- k(x)
+        w <- h(z)
+      } yield w
+    } yield y
+
+    val rhs = for {
+      x <- m
+      y <- k(x)
+      z <- h(y)
+    } yield z
+
+    lhs.runState(s) == rhs.runState(s)
+  }.holds
+  */
+
+
+  /* The law connecting monad and functor instances:
+   *
+   * m >>= (return . f)  =  m map f
+   */
+
+  def mapToFlatMap[S, A, B](m: State[S, A], f: A => B)(s: S): Boolean = {
+    (m >>= (x => unit(f(x)))).runState(s) == (m map f).runState(s)
+  }.holds
+
+
+  /* Different theorems */
+
+  //@induct
+  //def mapMVsSequenceM[S, A, B](f: A => State[S, B], l: List[A])(s: S) = {
+  //  mapM(f, l).runState(s) == sequence(l map f).runState(s)
+  //}.holds
+
+
+}
diff --git a/libtest/src/main/scala/leon/package.scala b/libtest/src/main/scala/leon/package.scala
new file mode 100644
index 000000000..357010d11
--- /dev/null
+++ b/libtest/src/main/scala/leon/package.scala
@@ -0,0 +1,23 @@
+import leon.annotation._
+import scala.annotation.elidable
+import scala.annotation.elidable._
+
+/**
+ * A collection of methods that can be used to collect run-time statistics about Leon programs.
+ * This is mostly used to test the resources properties of Leon programs
+ */
+package object leon {
+
+  /**
+   * Stubs of ensuring and require that do not check contracts.
+   * Enable this if you want running time statistics without executing contracts.
+   */
+  @ignore  
+  implicit class Ensuring[A](private val self: A) extends AnyVal {
+    @inline
+    def ensuring(cond: A => Boolean): A = { self }
+  }
+  
+  @ignore  
+  def require(arg: => Boolean) {}
+}
diff --git a/libtest/src/main/scala/leon/par/package.scala b/libtest/src/main/scala/leon/par/package.scala
new file mode 100644
index 000000000..5842210fc
--- /dev/null
+++ b/libtest/src/main/scala/leon/par/package.scala
@@ -0,0 +1,24 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import leon.lang._
+import leon.lang.synthesis.choose
+
+package object par {
+
+  @library
+  @inline
+  def parallel[A,B](x: => A, y: => B) : (A,B) = {
+    (x,y)
+  }
+
+  @library
+  case class Task[A](c: A) {
+    def join: A = c
+  }
+
+  @library
+  def task[A](c: A) = Task(c)
+}
diff --git a/libtest/src/main/scala/leon/proof/Internal.scala b/libtest/src/main/scala/leon/proof/Internal.scala
new file mode 100644
index 000000000..0962c371c
--- /dev/null
+++ b/libtest/src/main/scala/leon/proof/Internal.scala
@@ -0,0 +1,63 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+package leon.proof
+
+import leon.lang._
+import leon.annotation._
+
+/** Internal helper classes and methods for the 'proof' package. */
+object Internal {
+
+  /*** Helper classes for relational reasoning ***/
+  @library
+  case class WithRel[A, B](x: A, r: (A, B) => Boolean, prop: Boolean) {
+
+    /** Continue with the next relation. */
+    def ^^(y: B): RelReasoning[B] = {
+      require(prop ==> r(x, y))
+      RelReasoning(y, prop && r(x, y))
+    }
+
+    /** Add a proof. */
+    def ^^|(proof: Boolean): WithProof[A, B] = {
+      require(proof)
+      WithProof(x, r, proof, prop)
+    }
+
+    /** Short-hand for equational reasoning. */
+    def ==|(proof: Boolean): WithProof[A, A] = {
+      require(proof)
+      WithProof(x, _ == _, proof, prop)
+    }
+
+    def qed: Boolean = prop
+  }
+
+  @library
+  case class WithProof[A, B](
+    x: A, r: (A, B) => Boolean, proof: Boolean, prop: Boolean) {
+
+    /** Close a proof. */
+    def |[C](that: WithProof[B, C]): WithProof[B, C] = {
+      require(this.prop && this.proof ==> this.r(this.x, that.x))
+      WithProof(
+        that.x, that.r, that.proof,
+        this.prop && this.proof && this.r(this.x, that.x))
+    }
+
+    /** Close a proof. */
+    def |[C](that: WithRel[B, C]): WithRel[B, C] = {
+      require(this.prop && this.proof ==> this.r(this.x, that.x))
+      WithRel(
+        that.x, that.r,
+        this.prop && this.proof && this.r(this.x, that.x))
+    }
+
+    /** Close a proof. */
+    def |(that: RelReasoning[B]): RelReasoning[B] = {
+      require(this.prop && this.proof ==> this.r(this.x, that.x))
+      RelReasoning(
+        that.x,
+        this.prop && this.proof && this.r(this.x, that.x))
+    }
+  }
+}
diff --git a/libtest/src/main/scala/leon/proof/package.scala b/libtest/src/main/scala/leon/proof/package.scala
new file mode 100644
index 000000000..3f0978649
--- /dev/null
+++ b/libtest/src/main/scala/leon/proof/package.scala
@@ -0,0 +1,66 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+package leon
+
+import leon.annotation._
+import leon.lang._
+import scala.language.implicitConversions
+
+import leon.proof.Internal._
+
+package object proof {
+
+  @library
+  case class ProofOps(prop: Boolean) {
+    def because(proof: Boolean): Boolean = proof && prop
+    def neverHolds: Boolean = {
+      require(!prop)
+      !prop
+    }
+  }
+
+  @library
+  implicit def boolean2ProofOps(prop: Boolean): ProofOps = ProofOps(prop)
+
+  @library
+  def trivial: Boolean = true
+
+  @library
+  def by(proof: Boolean)(prop: Boolean): Boolean =
+    proof && prop
+
+  @library
+  def check(prop: Boolean): Boolean = {
+    require(prop)
+    prop
+  }
+
+  /**
+   * Relational reasoning.
+   *
+   *         {
+   *           ((y :: ys) :+ x).last   ^^ _ == _ ^^| trivial         |
+   *           (y :: (ys :+ x)).last   ==| trivial         |
+   *           (ys :+ x).last          ==| snocLast(ys, x) |
+   *           x
+   *         }.qed
+   */
+  @library
+  case class RelReasoning[A](x: A, prop: Boolean) {
+
+    def ^^[B](r: (A, B) => Boolean): WithRel[A, B] = WithRel(x, r, prop)
+
+    /** Short-hand for equational reasoning. */
+    def ==|(proof: Boolean): WithProof[A, A] = {
+      require(proof)
+      WithProof(x, _ == _, proof, prop)
+    }
+
+    def qed: Boolean = prop
+  }
+
+  @library
+  implicit def any2RelReasoning[A](x: A): RelReasoning[A] =
+    RelReasoning(x, true)
+
+}
+
diff --git a/libtest/src/main/scala/leon/stats/package.scala b/libtest/src/main/scala/leon/stats/package.scala
new file mode 100644
index 000000000..17d6286b6
--- /dev/null
+++ b/libtest/src/main/scala/leon/stats/package.scala
@@ -0,0 +1,28 @@
+/* Copyright 2009-2015 EPFL, Lausanne */
+
+package leon
+
+import leon.annotation._
+import java.lang.management._
+import scala.collection.JavaConversions._
+
+/**
+ * A collection of methods that can be used to collect run-time statistics about Leon programs.
+ * This is mostly used to test the resources properties of Leon programs
+ */
+package object stats {
+  @ignore
+  def timed[T](code: => T)(cont: Long => Unit): T = {
+    var t1 = System.currentTimeMillis()
+    val r = code
+    cont((System.currentTimeMillis() - t1))
+    r
+  }
+
+  @ignore
+  def withTime[T](code: => T): (T, Long) = {
+    var t1 = System.currentTimeMillis()
+    val r = code
+    (r, (System.currentTimeMillis() - t1))
+  }
+}
diff --git a/run-benchs.sh b/run-benchs.sh
deleted file mode 100755
index f269ac564..000000000
--- a/run-benchs.sh
+++ /dev/null
@@ -1,12 +0,0 @@
-./leon --lazy ./testcases/lazy-datastructures/RealTimeQueue.scala | tee  RTQ.out
-./leon --lazy ./testcases/lazy-datastructures/BottomUpMegeSort.scala | tee MsortBU.out
-./leon --lazy ./testcases/lazy-datastructures/SortingnConcat.scala | tee Sort.out
-./leon --lazy ./testcases/lazy-datastructures/Esop15Benchmarks.scala | tee  Esop.out
-./leon --lazy ./testcases/lazy-datastructures/Deque.scala --unfoldFactor=2 | tee RDQ.out
-./leon --lazy ./testcases/lazy-datastructures/LazyNumericalRep.scala --unfoldFactor=3 | tee Num.out
-./leon --lazy ./testcases/lazy-datastructures/conc/Conqueue.scala --unfoldFactor=3 | tee Conqueue.out
-./leon --lazy ./testcases/lazy-datastructures/memoization/Knapsack.scala  | tee Knapsack.out
-./leon --lazy ./testcases/lazy-datastructures/memoization/WeightedScheduling.scala | tee Sched.out
-./leon --lazy ./testcases/lazy-datastructures/memoization/HammingMemoized.scala | tee Hamming.out
-./leon --lazy ./testcases/lazy-datastructures/memoization/PackratParsing.scala | tee Packrat.out
-
diff --git a/src/main/scala/leon/invariant/engine/CompositionalTimeBoundSolver.scala b/src/main/scala/leon/invariant/engine/CompositionalTimeBoundSolver.scala
index 1992607fa..771319516 100644
--- a/src/main/scala/leon/invariant/engine/CompositionalTimeBoundSolver.scala
+++ b/src/main/scala/leon/invariant/engine/CompositionalTimeBoundSolver.scala
@@ -45,7 +45,7 @@ class CompositionalTimeBoundSolver(ctx: InferenceContext, prog: Program, rootFd:
 
     val origProg = prog
     // add only rec templates for all functions
-    val funToRecTmpl = origProg.definedFunctions.collect {
+    val funToRecTmpl = userLevelFunctions(origProg).collect {
       case fd if fd.hasTemplate && fd == rootFd =>
         fd -> recTmpl
       case fd if fd.hasTemplate =>
@@ -54,7 +54,7 @@ class CompositionalTimeBoundSolver(ctx: InferenceContext, prog: Program, rootFd:
     val recProg = assignTemplateAndCojoinPost(funToRecTmpl, origProg)
 
     // add only tpr template for all functions
-    val funToNonRecTmpl = origProg.definedFunctions.collect {
+    val funToNonRecTmpl = userLevelFunctions(origProg).collect {
       case fd if fd.hasTemplate && fd == rootFd =>
         fd -> tprTmpl
       case fd if fd.hasTemplate =>
@@ -73,7 +73,7 @@ class CompositionalTimeBoundSolver(ctx: InferenceContext, prog: Program, rootFd:
       case (Some(InferResult(true, Some(recModel), _)),
         Some(InferResult(true, Some(tprModel), _))) =>
         // create a new program by omitting the templates of the root function
-        val funToTmpl = origProg.definedFunctions.collect {
+        val funToTmpl = userLevelFunctions(origProg).collect {
           case fd if fd.hasTemplate && fd != rootFd =>
             (fd -> fd.getTemplate)
         }.toMap
@@ -83,14 +83,14 @@ class CompositionalTimeBoundSolver(ctx: InferenceContext, prog: Program, rootFd:
 
         // construct the instantiated tpr bound and check if it monotonically decreases
         val Operator(Seq(_, tprFun), _) = tprTmpl
-        val tprFunInst = (new RealToInt()).mapRealToInt(
+        val tprFunInst = (new RealToInt()).mapExpr(
           replace(tprModel.map { case (k, v) => (k.toVariable -> v) }.toMap, tprFun))
         // TODO: this would fail on non-integers, handle these by approximating to the next bigger integer
 
         // Upper bound on time time <= recFun * tprFun + tprFun
         val (_, multFun) = MultFuncs.getMultFuncs(if (ctx.usereals) RealType else IntegerType)
         val Operator(Seq(_, recFun), _) = recTmpl
-        val recFunInst = (new RealToInt()).mapRealToInt(
+        val recFunInst = (new RealToInt()).mapExpr(
           replace(recModel.map { case (k, v) => (k.toVariable -> v) }.toMap, recFun))
 
         val timeUpperBound = ExpressionTransformer.normalizeMultiplication(
@@ -141,21 +141,6 @@ class CompositionalTimeBoundSolver(ctx: InferenceContext, prog: Program, rootFd:
     }
   }
 
-  /*def combineMapsUsingConjunction(maps: List[Map[FunDef, Expr]], prog: Program) = {
-    val combMap = new OrderedMultiMap[FunDef, Expr]
-    maps.foreach {
-      _.foreach {
-        case (k, v) =>
-          val origFun = functionByName(k.id.name, prog).get
-          combMap.addBinding(origFun, v)
-      }
-    }
-    combMap.foldLeft(Map[FunDef, Expr]()) {
-      case (acc, (k, vs)) if vs.size == 1 => acc + (k -> vs(0))
-      case (acc, (k, vs)) => acc + (k -> And(vs.toSeq))
-    }
-  }*/
-
   def extractSeparateTemplates(funDef: FunDef): (Option[Expr], Option[Expr], Option[Expr], Seq[Expr]) = {
     if (!funDef.hasTemplate) (None, None, None, Seq[Expr]())
     else {
diff --git a/src/main/scala/leon/invariant/engine/InferenceContext.scala b/src/main/scala/leon/invariant/engine/InferenceContext.scala
index 48a45b048..c8020acb5 100644
--- a/src/main/scala/leon/invariant/engine/InferenceContext.scala
+++ b/src/main/scala/leon/invariant/engine/InferenceContext.scala
@@ -45,9 +45,9 @@ class InferenceContext(val initProgram: Program, val leonContext: LeonContext) {
   val statsSuffix = leonContext.findOption(optStatsSuffix).getOrElse("-stats" + FileCountGUID.getID)
 
   val instrumentedProg = InstrumentationPhase(leonContext, initProgram)
-  // convets qmarks to templates
+  // converts qmarks to templates
   val qMarksRemovedProg = {
-    val funToTmpl = instrumentedProg.definedFunctions.collect {
+    val funToTmpl = userLevelFunctions(instrumentedProg).collect {
       case fd if fd.hasTemplate =>
         fd -> fd.getTemplate
     }.toMap
@@ -58,9 +58,7 @@ class InferenceContext(val initProgram: Program, val leonContext: LeonContext) {
 
   val inferProgram = {
     // convert nonlinearity to recursive functions
-    nlelim(if (usereals)
-      (new IntToRealProgram())(qMarksRemovedProg)
-    else qMarksRemovedProg)
+    nlelim(if (usereals) (new IntToRealProgram())(qMarksRemovedProg) else qMarksRemovedProg)
   }
 
   // other utilities
diff --git a/src/main/scala/leon/invariant/engine/InferenceEngine.scala b/src/main/scala/leon/invariant/engine/InferenceEngine.scala
index 3e7f2fa3f..17c246b47 100644
--- a/src/main/scala/leon/invariant/engine/InferenceEngine.scala
+++ b/src/main/scala/leon/invariant/engine/InferenceEngine.scala
@@ -140,9 +140,9 @@ class InferenceEngine(ctx: InferenceContext) extends Interruptible {
         // not usef for now
         /*val tempFactory = new TemplateFactory(Some(new TemplateEnumerator(ctx, startProg)),
             startProg, ctx.reporter)*/
-        startProg.definedFunctions.map(fd => fd -> getOrCreateTemplateForFun(fd)).toMap
+        userLevelFunctions(startProg).map(fd => fd -> getOrCreateTemplateForFun(fd)).toMap
       } else
-        startProg.definedFunctions.collect { case fd if fd.hasTemplate => fd -> fd.getTemplate }.toMap
+        userLevelFunctions(startProg).collect { case fd if fd.hasTemplate => fd -> fd.getTemplate }.toMap
     val progWithTemplates = assignTemplateAndCojoinPost(funToTmpl, startProg)
     var analyzedSet = Map[FunDef, InferenceCondition]()
 
@@ -191,7 +191,7 @@ class InferenceEngine(ctx: InferenceContext) extends Interruptible {
                 // now the templates of these functions will be replaced by inferred invariants
                 val invs = TemplateInstantiator.getAllInvariants(model.get, funsWithTemplates)
                 // collect templates of remaining functions
-                val funToTmpl = prog.definedFunctions.collect {
+                val funToTmpl = userLevelFunctions(prog).collect {
                   case fd if !invs.contains(fd) && fd.hasTemplate =>
                     fd -> fd.getTemplate
                 }.toMap
diff --git a/src/main/scala/leon/invariant/factories/TemplateFactory.scala b/src/main/scala/leon/invariant/factories/TemplateFactory.scala
index ea0f0c633..110ac75cb 100644
--- a/src/main/scala/leon/invariant/factories/TemplateFactory.scala
+++ b/src/main/scala/leon/invariant/factories/TemplateFactory.scala
@@ -30,7 +30,7 @@ object TemplateIdFactory {
   }
 
   def copyIdentifier(id: Identifier) : Identifier = {
-    val freshid = FreshIdentifier(id.name, RealType, false)
+    val freshid = FreshIdentifier(id.name, id.getType, false)
     ids += freshid
     freshid
   }
diff --git a/src/main/scala/leon/invariant/structure/LinearConstraintUtil.scala b/src/main/scala/leon/invariant/structure/LinearConstraintUtil.scala
index aee689be4..0f2c84350 100644
--- a/src/main/scala/leon/invariant/structure/LinearConstraintUtil.scala
+++ b/src/main/scala/leon/invariant/structure/LinearConstraintUtil.scala
@@ -204,7 +204,7 @@ object LinearConstraintUtil {
           || e.isInstanceOf[GreaterEquals])) => {
 
           //check if the expression has real valued sub-expressions
-          val isReal = hasReals(e1) || hasReals(e2)
+          val isReal = hasRealsOrTemplates(e1) || hasRealsOrTemplates(e2)
           val (newe, newop) = e match {
             case t: Equals        => (Minus(e1, e2), Equals)
             case t: LessEquals    => (Minus(e1, e2), LessEquals)
diff --git a/src/main/scala/leon/invariant/templateSolvers/CegisSolver.scala b/src/main/scala/leon/invariant/templateSolvers/CegisSolver.scala
index a3eca287b..046519942 100644
--- a/src/main/scala/leon/invariant/templateSolvers/CegisSolver.scala
+++ b/src/main/scala/leon/invariant/templateSolvers/CegisSolver.scala
@@ -120,8 +120,6 @@ class CegisCore(ctx: InferenceContext,
         val spuriousTempIds = variablesOf(instFormula).intersect(TemplateIdFactory.getTemplateIds)
         if (spuriousTempIds.nonEmpty)
           throw new IllegalStateException("Found a template variable in instFormula: " + spuriousTempIds)
-        if (hasReals(instFormula))
-          throw new IllegalStateException("Reals in instFormula: " + instFormula)
 
         //println("solving instantiated vcs...")
         val solver1 = new ExtendedUFSolver(context, program)
@@ -158,16 +156,11 @@ class CegisCore(ctx: InferenceContext,
             val solver2 = SimpleSolverAPI(new TimeoutSolverFactory(SolverFactory(() => new ExtendedUFSolver(context, program) with TimeoutSolver),
               timeoutMillis - elapsedTime))
             val (res1, newModel) = if (solveAsInt) {
-              //convert templates to integers and solve. Finally, re-convert integer models for templates to real models
-              val rti = new RealToInt()
-              val intctr = rti.mapRealToInt(And(newctr, initRealCtr))
-              val intObjective = rti.mapRealToInt(tempVarSum)
-              val (res1, intModel) =
-                if (minimizeSum)
-                  minimizeIntegers(intctr, intObjective)
-                else
-                  solver2.solveSAT(intctr)
-              (res1, rti.unmapModel(intModel))
+              val intctr = And(newctr, initRealCtr)
+              if (minimizeSum)
+                minimizeIntegers(intctr, tempVarSum)
+              else
+                solver2.solveSAT(intctr)
             } else {
               if (minimizeSum) {
                 minimizeReals(And(newctr, initRealCtr), tempVarSum)
diff --git a/src/main/scala/leon/invariant/templateSolvers/DisjunctChooser.scala b/src/main/scala/leon/invariant/templateSolvers/DisjunctChooser.scala
index b3a935124..27d83ef56 100644
--- a/src/main/scala/leon/invariant/templateSolvers/DisjunctChooser.scala
+++ b/src/main/scala/leon/invariant/templateSolvers/DisjunctChooser.scala
@@ -181,7 +181,7 @@ class DisjunctChooser(ctx: InferenceContext, program: Program, ctrTracker: Const
       if (debugElimination && verifyInvariant) {
         println("checking invariant for disjunct before elimination...")
         checkInvariant(createAnd((lnctrs ++ temps).map(_.template)), leonctx, program)
-      }      
+      }
       // for debugging
       val debugger =
         if (debugElimination && verifyInvariant) {
diff --git a/src/main/scala/leon/invariant/templateSolvers/ExistentialQuantificationSolver.scala b/src/main/scala/leon/invariant/templateSolvers/ExistentialQuantificationSolver.scala
index 5af100ed7..a2ad66010 100644
--- a/src/main/scala/leon/invariant/templateSolvers/ExistentialQuantificationSolver.scala
+++ b/src/main/scala/leon/invariant/templateSolvers/ExistentialQuantificationSolver.scala
@@ -33,7 +33,7 @@ import SolverUtil._
 /**
  * This class uses Farkas' lemma to try and falsify numerical disjuncts with templates provided one by one
  */
-class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program, 
+class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program,
     ctrTracker: ConstraintTracker, defaultEval: DefaultEvaluator) {
   import NLTemplateSolver._
   val reporter = ctx.reporter
@@ -41,9 +41,9 @@ class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program,
   var currentCtr: Expr = tru
   private val farkasSolver = new FarkasLemmaSolver(ctx, program)
   val disjunctChooser = new DisjunctChooser(ctx, program, ctrTracker, defaultEval)
-  
-  def getSolvedCtrs = currentCtr  
-  
+
+  def getSolvedCtrs = currentCtr
+
   def generateCtrsForUNSAT(fd: FunDef, univModel: LazyModel, tempModel: Model) = {
     // chooose a sat numerical disjunct from the model
     val (lnctrs, temps, calls) =
@@ -53,11 +53,11 @@ class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program,
         updateCounterTime(chTime, "Disj-choosing-time", "disjuncts")
         updateCumTime(chTime, "Total-Choose-Time")
       }
-    val disjunct = (lnctrs ++ temps)    
+    val disjunct = (lnctrs ++ temps)
     if (temps.isEmpty) {
       //here ants ^ conseq is sat (otherwise we wouldn't reach here) and there is no way to falsify this path
       (fls, disjunct, calls)
-    } else 
+    } else
       (farkasSolver.constraintsForUnsat(lnctrs, temps), disjunct, calls)
   }
 
@@ -68,7 +68,6 @@ class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program,
     val newPart = createAnd(newctrs)
     val newSize = atomNum(newPart)
     val currSize = atomNum(currentCtr)
-
     Stats.updateCounterStats((newSize + currSize), "NLsize", "disjuncts")
     if (verbose) reporter.info("# of atomic predicates: " + newSize + " + " + currSize)
 
@@ -86,7 +85,7 @@ class ExistentialQuantificationSolver(ctx: InferenceContext, program: Program,
         (Some(false), Model.empty)
       case Some(true) =>
         currentCtr = combCtr
-        //new model may not have mappings for all the template variables, hence, use the mappings from earlier models        
+        //new model may not have mappings for all the template variables, hence, use the mappings from earlier models
         (Some(true), completeWithRefModel(newModel, oldModel))
     }
   }
diff --git a/src/main/scala/leon/invariant/templateSolvers/FarkasLemmaSolver.scala b/src/main/scala/leon/invariant/templateSolvers/FarkasLemmaSolver.scala
index 62eabca92..96d57a834 100644
--- a/src/main/scala/leon/invariant/templateSolvers/FarkasLemmaSolver.scala
+++ b/src/main/scala/leon/invariant/templateSolvers/FarkasLemmaSolver.scala
@@ -180,13 +180,11 @@ class FarkasLemmaSolver(ctx: InferenceContext, program: Program) {
       //the final constraint is a conjunction of lambda constraints and disjunction of enabled and disabled parts
       if (disableAnts) And(createAnd(lambdaCtrs), disabledPart)
       else {
-        //And(And(lambdaCtrs), enabledPart)
         And(createAnd(lambdaCtrs), Or(enabledPart, disabledPart))
       }
     }
 
     val ctrs = if (disableAnts) {
-      //here conseqs are empty
       createCtrs(None)
     } else {
       val Seq(head, tail @ _*) = conseqs
@@ -316,10 +314,8 @@ class FarkasLemmaSolver(ctx: InferenceContext, program: Program) {
         }
         val fullmodel = model ++ newassignments
         if (this.verifyModel) {
-          //println("Fullmodel: "+fullmodel)
-          assert(evaluateRealFormula(replace(
-              fullmodel.map { case (k, v) => (k.toVariable, v) }.toMap,
-              nlctrs)))
+          val formula = replace(fullmodel.map { case (k, v) => (k.toVariable, v)}.toMap, nlctrs)
+          assert(evaluateRealFormula(formula))
         }
         (res, fullmodel)
       case _ =>
diff --git a/src/main/scala/leon/invariant/templateSolvers/UniversalQuantificationSolver.scala b/src/main/scala/leon/invariant/templateSolvers/UniversalQuantificationSolver.scala
index bb3963078..b22f402ae 100644
--- a/src/main/scala/leon/invariant/templateSolvers/UniversalQuantificationSolver.scala
+++ b/src/main/scala/leon/invariant/templateSolvers/UniversalQuantificationSolver.scala
@@ -2,6 +2,7 @@ package leon
 package invariant.templateSolvers
 
 import z3.scala._
+import purescala._
 import purescala.Common._
 import purescala.Definitions._
 import purescala.Expressions._
@@ -245,8 +246,9 @@ class UniversalQuantificationSolver(ctx: InferenceContext, program: Program,
       Stats.updateCounter(1, "disjuncts")
       if (verbose) {
         reporter.info("Candidate invariants")
-        TemplateInstantiator.getAllInvariants(tempModel, ctrTracker.getFuncs).foreach(
-          entry => reporter.info(entry._1.id + "-->" + entry._2))
+        TemplateInstantiator.getAllInvariants(tempModel, ctrTracker.getFuncs).foreach{
+          case(f, inv) => reporter.info(f.id + "-->" + PrettyPrinter(inv))
+        }
       }
       val modRefiner = new ModelRefiner(tempModel)
       sat = modRefiner.nextCandidate match {
diff --git a/src/main/scala/leon/invariant/util/ExpressionTransformer.scala b/src/main/scala/leon/invariant/util/ExpressionTransformer.scala
index 5de31ddac..716b977bf 100644
--- a/src/main/scala/leon/invariant/util/ExpressionTransformer.scala
+++ b/src/main/scala/leon/invariant/util/ExpressionTransformer.scala
@@ -141,38 +141,6 @@ object ExpressionTransformer {
           val (resvalue, valuecjs) = transform(value, true)
           (resbody, (valuecjs + Equals(binder.toVariable, resvalue)) ++ bodycjs)
 
-        //the value is a tuple in the following case
-        /*case LetTuple(binders, value, body) =>
-          //TODO: do we have to consider reuse of let variables ?
-          val (resbody, bodycjs) = transform(body, true)
-          val (resvalue, valuecjs) = transform(value, true)
-          //here we optimize the case where resvalue itself has tuples
-          val newConjuncts = resvalue match {
-            case Tuple(args) => {
-              binders.zip(args).map((elem) => {
-                val (bind, arg) = elem
-                Equals(bind.toVariable, arg)
-              })
-            }
-            case _ => {
-              //may it is better to assign resvalue to a temporary variable (if it is not already a variable)
-              val (resvalue2, cjs) = resvalue match {
-                case t: Terminal => (t, Seq())
-                case _ => {
-                  val freshres = createTemp("tres", resvalue.getType, langContext).toVariable
-                  (freshres, Seq(Equals(freshres, resvalue)))
-                }
-              }
-              var i = 0
-              val cjs2 = binders.map((bind) => {
-                i += 1
-                Equals(bind.toVariable, TupleSelect(resvalue2, i))
-              })
-              (cjs ++ cjs2)
-            }
-          }
-          (resbody, (valuecjs ++ newConjuncts) ++ bodycjs)*/
-
         case _ => conjoinWithinClause(e, transform, insideFunction)
       }
     }
diff --git a/src/main/scala/leon/invariant/util/RealIntMap.scala b/src/main/scala/leon/invariant/util/RealIntMap.scala
new file mode 100644
index 000000000..12ba7d97c
--- /dev/null
+++ b/src/main/scala/leon/invariant/util/RealIntMap.scala
@@ -0,0 +1,111 @@
+package leon
+package invariant.util
+
+import purescala.Common._
+import purescala.Expressions._
+import purescala.ExprOps._
+import purescala.Types._
+import invariant.factories._
+import solvers._
+import TemplateIdFactory._
+
+/**
+ * An abstract class for mapping integer typed variables to reals and vice-versa.
+ * Note: this preserves the template identifier property
+ */
+abstract class IntRealMap {
+  var oldToNew = Map[Identifier, Identifier]()
+  var newToOld = Map[Identifier, Identifier]()
+
+  def mapLiteral(l: Literal[_]): Literal[_]
+  def unmapLiteral(l: Literal[_]): Literal[_]
+  def mapIdentifier(v: Identifier): Identifier
+
+  def mapExpr(inexpr: Expr): Expr = {
+    val transformer = (e: Expr) => e match {
+      case l : Literal[_] => mapLiteral(l)
+      case v@Variable(id) =>
+        Variable(oldToNew.getOrElse(id, {
+          val mid = mapIdentifier(id)
+          if (mid != id) {
+            oldToNew += (id -> mid)
+            newToOld += (mid -> id)
+          }
+          mid
+        }))
+      case _ => e
+    }
+    simplePostTransform(transformer)(inexpr)
+  }
+
+  def unmapModel(model: Model): Model = {
+    new Model(model.map {
+      case (key, value) if (newToOld.contains(key)) =>
+        (newToOld(key),
+          value match {
+            case l: Literal[_] => unmapLiteral(l)
+            case e             => e
+          })
+      case other => other
+    }.toMap)
+  }
+
+  def mapModel(model: Model): Model = {
+    new Model(model.map {
+      case (k, v) if (oldToNew.contains(k)) =>
+        (oldToNew(k), v match {
+            case l: Literal[_] => mapLiteral(l)
+            case e             => e
+          })
+      case other => other
+    }.toMap)
+  }
+}
+
+/**
+ * maps all real valued variables and literals to new integer variables/literals and
+ * performs the reverse mapping
+ */
+class RealToInt extends IntRealMap {
+
+  val bone = BigInt(1)
+  def mapLiteral(l: Literal[_]): Literal[_] = l match {
+     case FractionalLiteral(num, `bone`) => InfiniteIntegerLiteral(num)
+     case FractionalLiteral(_, _) => throw new IllegalStateException("Real literal with non-unit denominator")
+     case other => other
+  }
+
+  def unmapLiteral(l: Literal[_]): Literal[_] = l match {
+    case InfiniteIntegerLiteral(v) => FractionalLiteral(v.toInt, 1)
+    case other => other
+  }
+
+  def mapIdentifier(v: Identifier): Identifier =
+    if (v.getType == RealType) {
+      if (IsTemplateIdentifier(v)) freshIdentifier(v.name)
+      else FreshIdentifier(v.name, IntegerType, true)
+    } else v
+}
+
+/**
+ * Maps integer literal and identifiers to real literal and identifiers
+ */
+/*class IntToReal extends IntRealMap {
+
+  def mapLiteral(l: Literal[_]): Literal[_] = l match {
+    case InfiniteIntegerLiteral(v) => FractionalLiteral(v.toInt, 1)
+    case other => other
+  }
+
+  *//**
+   * Here, we return fractional literals for integer-valued variables,
+   * and leave to the client to handle them
+   *//*
+  def unmapLiteral(l: Literal[_]): Literal[_] = l
+
+  def mapIdentifier(v: Identifier): Identifier =
+    if (v.getType == IntegerType) {
+      if (IsTemplateIdentifier(v)) freshIdentifier(v.name, RealType)
+      else FreshIdentifier(v.name, RealType, true)
+    } else v
+}*/
\ No newline at end of file
diff --git a/src/main/scala/leon/invariant/util/RealToInt.scala b/src/main/scala/leon/invariant/util/RealToInt.scala
deleted file mode 100644
index 6c1860160..000000000
--- a/src/main/scala/leon/invariant/util/RealToInt.scala
+++ /dev/null
@@ -1,70 +0,0 @@
-package leon
-package invariant.util
-
-import purescala.Common._
-import purescala.Expressions._
-import purescala.ExprOps._
-import purescala.Types._
-import invariant.factories._
-import solvers._
-
-/**
- * maps all real valued variables and literals to new integer variables/literals and
- * performs the reverse mapping
- * Note: this should preserve the template identifier property
- */
-class RealToInt {
-
-  val bone = BigInt(1)
-  var realToIntId = Map[Identifier, Identifier]()
-  var intToRealId = Map[Identifier, Identifier]()
-
-  def mapRealToInt(inexpr: Expr): Expr = {
-    val transformer = (e: Expr) => e match {
-      case FractionalLiteral(num, `bone`) => InfiniteIntegerLiteral(num)
-      case FractionalLiteral(_, _) => throw new IllegalStateException("Real literal with non-unit denominator")
-      case v @ Variable(realId) if (v.getType == RealType) => {
-        val newId = realToIntId.getOrElse(realId, {
-          //note: the fresh identifier has to be a template identifier if the original one is a template identifier
-          val freshId = if (TemplateIdFactory.IsTemplateIdentifier(realId))
-            TemplateIdFactory.freshIdentifier(realId.name, IntegerType)
-          else
-            FreshIdentifier(realId.name, IntegerType, true)
-
-          realToIntId += (realId -> freshId)
-          intToRealId += (freshId -> realId)
-          freshId
-        })
-        Variable(newId)
-      }
-      case _ => e
-    }
-    simplePostTransform(transformer)(inexpr)
-  }
-
-  def unmapModel(model: Model): Model = {
-    new Model(model.map(pair => {
-      val (key, value) = if (intToRealId.contains(pair._1)) {
-        (intToRealId(pair._1),
-          pair._2 match {
-            case InfiniteIntegerLiteral(v) => FractionalLiteral(v.toInt, 1)
-            case _ => pair._2
-          })
-      } else pair
-      (key -> value)
-    }).toMap)
-  }
-
-  def mapModel(model: Model): Model = {
-    new Model(model.collect {
-      case (k, FractionalLiteral(n, bone)) =>
-        (realToIntId(k), InfiniteIntegerLiteral(n))
-      case (k, v) =>
-        if (realToIntId.contains(k)) {
-          (realToIntId(k), v)
-        } else {
-          (k, v)
-        }
-    }.toMap)
-  }
-}
\ No newline at end of file
diff --git a/src/main/scala/leon/invariant/util/RealValuedExprEvaluator.scala b/src/main/scala/leon/invariant/util/RealValuedExprEvaluator.scala
index d591de245..9fd5c324e 100644
--- a/src/main/scala/leon/invariant/util/RealValuedExprEvaluator.scala
+++ b/src/main/scala/leon/invariant/util/RealValuedExprEvaluator.scala
@@ -47,12 +47,14 @@ object RealValuedExprEvaluator {
     case _ => throw new IllegalStateException("Not an evaluatable expression: " + expr)
   }
 
-  def evaluateRealPredicate(expr: Expr): Boolean = expr match {
-    case Equals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _)) => isEQZ(evaluate(Minus(a, b)))
-    case LessEquals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _)) => isLEZ(evaluate(Minus(a, b)))
-    case LessThan(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _)) => isLTZ(evaluate(Minus(a, b)))
-    case GreaterEquals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _)) => isGEZ(evaluate(Minus(a, b)))
-    case GreaterThan(a @ FractionalLiteral(n1, d1), b @ FractionalLiteral(n2, d2)) => isGTZ(evaluate(Minus(a, b)))
+  def evaluateRealPredicate(expr: Expr): Boolean = {
+    expr match {
+      case Equals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _))          => isEQZ(evaluate(Minus(a, b)))
+      case LessEquals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _))      => isLEZ(evaluate(Minus(a, b)))
+      case LessThan(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _))        => isLTZ(evaluate(Minus(a, b)))
+      case GreaterEquals(a @ FractionalLiteral(_, _), b @ FractionalLiteral(_, _))   => isGEZ(evaluate(Minus(a, b)))
+      case GreaterThan(a @ FractionalLiteral(n1, d1), b @ FractionalLiteral(n2, d2)) => isGTZ(evaluate(Minus(a, b)))
+    }
   }
 
   def isEQZ(rlit: FractionalLiteral): Boolean = {
@@ -95,6 +97,9 @@ object RealValuedExprEvaluator {
     case Not(arg) => !evaluateRealFormula(arg)
     case BooleanLiteral(b) => b
     case Operator(args, op) =>
-      evaluateRealPredicate(op(args map evaluate))
+      op(args map evaluate) match {
+        case BooleanLiteral(b) => b
+        case p => evaluateRealPredicate(p)
+      }
   }
 }
diff --git a/src/main/scala/leon/invariant/util/TreeUtil.scala b/src/main/scala/leon/invariant/util/TreeUtil.scala
index 88dabc505..df6f64b0c 100644
--- a/src/main/scala/leon/invariant/util/TreeUtil.scala
+++ b/src/main/scala/leon/invariant/util/TreeUtil.scala
@@ -117,22 +117,23 @@ object ProgramUtil {
   }
 
   /**
-   * For functions for which `funToTmpl` is not defined, their templates
-   * will be removed
+   * For functions for which `funToTmpl` is not defined, their templates will be removed.
+   * Will only consider user-level functions.
    */
   def assignTemplateAndCojoinPost(funToTmpl: Map[FunDef, Expr], prog: Program,
                                   funToPost: Map[FunDef, Expr] = Map(), uniqueIdDisplay: Boolean = false): Program = {
 
-    val funMap = functionsWOFields(prog.definedFunctions).foldLeft(Map[FunDef, FunDef]()) {
-      case (accMap, fd) if fd.isTheoryOperation =>
-        accMap + (fd -> fd)
+    val keys = funToTmpl.keySet ++ funToPost.keySet
+    val userLevelFuns = userLevelFunctions(prog).toSet
+    if(!keys.diff(userLevelFuns).isEmpty)
+      throw new IllegalStateException("AssignTemplate function called on library functions: "+ keys.diff(userLevelFuns))
+
+    val funMap = userLevelFuns.foldLeft(Map[FunDef, FunDef]()) {
       case (accMap, fd) => {
         val freshId = FreshIdentifier(fd.id.name, fd.returnType, uniqueIdDisplay)
-        val newfd = new FunDef(freshId, fd.tparams, fd.params, fd.returnType)
-        accMap.updated(fd, newfd)
+        accMap + (fd -> new FunDef(freshId, fd.tparams, fd.params, fd.returnType))
       }
     }
-
     val mapExpr = mapFunctionsInExpr(funMap) _
     for ((from, to) <- funMap) {
       to.fullBody = if (!funToTmpl.contains(from)) {
@@ -185,17 +186,12 @@ object ProgramUtil {
     newprog
   }
 
-  def updatePost(funToPost: Map[FunDef, Lambda], prog: Program,
-                 uniqueIdDisplay: Boolean = true, excludeLibrary: Boolean = true): Program = {
+  def updatePost(funToPost: Map[FunDef, Lambda], prog: Program, uniqueIdDisplay: Boolean = true): Program = {
 
-    val funMap = functionsWOFields(prog.definedFunctions).foldLeft(Map[FunDef, FunDef]()) {
-      case (accMap, fd) if fd.isTheoryOperation || fd.isLibrary || fd.isInvariant =>
-        accMap + (fd -> fd)
-      case (accMap, fd) => {
+    val funMap = userLevelFunctions(prog).foldLeft(Map[FunDef, FunDef]()) {
+      case (accMap, fd) =>
         val freshId = FreshIdentifier(fd.id.name, fd.returnType, uniqueIdDisplay)
-        val newfd = new FunDef(freshId, fd.tparams, fd.params, fd.returnType)
-        accMap.updated(fd, newfd)
-      }
+        accMap + (fd -> new FunDef(freshId, fd.tparams, fd.params, fd.returnType))
     }
     val mapExpr = mapFunctionsInExpr(funMap) _
     for ((from, to) <- funMap) {
@@ -235,6 +231,15 @@ object ProgramUtil {
     fds.filter(fd => fd.isRealFunction)
   }
 
+  /**
+   * Functions that are not theory-operations or library methods that are not a part of the main unit
+   */
+  def userLevelFunctions(program: Program): Seq[FunDef] = {
+    program.units.flatMap { u =>
+      u.definedFunctions.filter(fd => !fd.isTheoryOperation && (u.isMainUnit || !(fd.isLibrary || fd.isInvariant)))
+    }
+  }
+
   def translateExprToProgram(ine: Expr, currProg: Program, newProg: Program): Expr = {
     var funCache = Map[String, Option[FunDef]]()
     def funInNewprog(fn: String) =
@@ -340,16 +345,29 @@ object PredicateUtil {
    */
   def hasReals(expr: Expr): Boolean = {
     var foundReal = false
-    simplePostTransform {
-      case e => {
-        if (e.getType == RealType)
+    postTraversal {
+      case e if e.getType == RealType =>
           foundReal = true
-        e
-      }
+      case _ =>
     }(expr)
     foundReal
   }
 
+  /**
+   * Checks if the expression has real valued sub-expressions.
+   */
+  def hasRealsOrTemplates(expr: Expr): Boolean = {
+    var found = false
+    postTraversal {
+      case Variable(id) if id.getType == RealType || TemplateIdFactory.IsTemplateIdentifier(id) =>
+        found = true
+      case e if e.getType == RealType =>
+        found = true
+      case _ =>
+    }(expr)
+    found
+  }
+
   /**
    * Checks if the expression has real valued sub-expressions.
    * Note: important, <, <=, > etc have default int type.
@@ -358,12 +376,10 @@ object PredicateUtil {
    */
   def hasInts(expr: Expr): Boolean = {
     var foundInt = false
-    simplePostTransform {
-      case e: Terminal if (e.getType == Int32Type || e.getType == IntegerType) => {
+    postTraversal {
+      case e: Terminal if (e.getType == Int32Type || e.getType == IntegerType) =>
         foundInt = true
-        e
-      }
-      case e => e
+      case _ =>
     }(expr)
     foundInt
   }
diff --git a/src/main/scala/leon/laziness/LazinessEliminationPhase.scala b/src/main/scala/leon/laziness/LazinessEliminationPhase.scala
index 9c1abab53..a32562322 100644
--- a/src/main/scala/leon/laziness/LazinessEliminationPhase.scala
+++ b/src/main/scala/leon/laziness/LazinessEliminationPhase.scala
@@ -44,7 +44,6 @@ import java.io.
  */
 object LazinessEliminationPhase extends TransformationPhase {
   val dumpInputProg = false
-  val debugLifting = false
   val dumpLiftProg = false
   val dumpProgramWithClosures = false
   val dumpTypeCorrectProg = false
@@ -79,7 +78,7 @@ object LazinessEliminationPhase extends TransformationPhase {
     // refEq is by default false
     val nprog = LazyExpressionLifter.liftLazyExpressions(prog, ctx.findOption(optRefEquality).getOrElse(false))
     if (dumpLiftProg)
-      prettyPrintProgramToFile(nprog, ctx, "-lifted")
+      prettyPrintProgramToFile(nprog, ctx, "-lifted", true)
 
     val funsManager = new LazyFunctionsManager(nprog)
     val closureFactory = new LazyClosureFactory(nprog)
diff --git a/src/main/scala/leon/laziness/LazinessUtil.scala b/src/main/scala/leon/laziness/LazinessUtil.scala
index 903ef54e9..79f6fae0b 100644
--- a/src/main/scala/leon/laziness/LazinessUtil.scala
+++ b/src/main/scala/leon/laziness/LazinessUtil.scala
@@ -69,14 +69,14 @@ object LazinessUtil {
 
   def isLazyInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.apply"
+      fullName(fd)(p) == "leon.lazyeval.$"
     case _ =>
       false
   }
 
   def isEagerInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.eager"
+      fullName(fd)(p) == "leon.lazyeval.eager"
     case _ =>
       false
   }
@@ -84,7 +84,7 @@ object LazinessUtil {
   def isInStateCall(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq()) =>
       val fn = fullName(fd)(p)
-      (fn == "leon.lazyeval.$.inState" || fn == "leon.lazyeval.Mem.inState")
+      (fn == "leon.lazyeval.inState" || fn == "leon.mem.inState")
     case _ =>
       false
   }
@@ -92,33 +92,33 @@ object LazinessUtil {
   def isOutStateCall(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq()) =>
       val fn = fullName(fd)(p)
-      (fn == "leon.lazyeval.$.outState" || fn == "leon.lazyeval.Mem.outState")
+      (fn == "leon.lazyeval.outState" || fn == "leon.mem.outState")
     case _ =>
       false
   }
 
   def isEvaluatedInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.isEvaluated"
+      fullName(fd)(p) == "leon.lazyeval.Lazy.isEvaluated"
     case _ => false
   }
 
   def isSuspInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_, _)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.isSuspension"
+      fullName(fd)(p) == "leon.lazyeval.Lazy.isSuspension"
     case _ => false
   }
 
   def isWithStateCons(e: Expr)(implicit p: Program): Boolean = e match {
     case CaseClass(cct, Seq(_)) =>
       val fn = fullName(cct.classDef)(p)
-      (fn == "leon.lazyeval.$.WithState" || fn == "leon.lazyeval.Mem.memWithState")
+      (fn == "leon.lazyeval.WithState" || fn == "leon.mem.memWithState")
     case _ => false
   }
 
   def isMemCons(e: Expr)(implicit p: Program): Boolean = e match {
     case CaseClass(cct, Seq(_)) =>
-      fullName(cct.classDef)(p) == "leon.lazyeval.Mem"
+      fullName(cct.classDef)(p) == "leon.mem.Mem"
     case _ => false
   }
 
@@ -130,31 +130,31 @@ object LazinessUtil {
     case FunctionInvocation(TypedFunDef(fd, _), _) =>
       val fn = fullName(fd)(p)
       (fn == "leon.lazyeval.WithState.withState" ||
-          fn == "leon.lazyeval.memWithState.withState")
+          fn == "leon.mem.memWithState.withState")
     case _ => false
   }
 
   def isCachedInv(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.Mem.isCached"
+      fullName(fd)(p) == "leon.mem.Mem.isCached"
     case _ => false
   }
 
   def isValueInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.value"
+      fullName(fd)(p) == "leon.lazyeval.Lazy.value"
     case _ => false
   }
 
   def isStarInvocation(e: Expr)(implicit p: Program): Boolean = e match {
     case FunctionInvocation(TypedFunDef(fd, _), Seq(_)) =>
-      fullName(fd)(p) == "leon.lazyeval.$.*"
+      fullName(fd)(p) == "leon.lazyeval.Lazy.*"
     case _ => false
   }
 
   def isLazyType(tpe: TypeTree): Boolean = tpe match {
     case CaseClassType(CaseClassDef(cid, _, None, false), Seq(_)) =>
-      cid.name == "$"
+      cid.name == "Lazy"
     case _ => false
   }
 
diff --git a/src/main/scala/leon/laziness/LazyExpressionLifter.scala b/src/main/scala/leon/laziness/LazyExpressionLifter.scala
index 96683d611..bed858694 100644
--- a/src/main/scala/leon/laziness/LazyExpressionLifter.scala
+++ b/src/main/scala/leon/laziness/LazyExpressionLifter.scala
@@ -61,8 +61,8 @@ object LazyExpressionLifter {
     lazy val needsId = funsMan.callersnTargetOfLazyCons
 
     var newfuns = Map[ExprStructure, (FunDef, ModuleDef)]()
-    val fdmap = prog.definedFunctions.collect {
-      case fd if !fd.isLibrary && !fd.isInvariant =>
+    val fdmap = ProgramUtil.userLevelFunctions(prog).collect {
+      case fd if fd.hasBody =>
         val nname = FreshIdentifier(fd.id.name)
         val nfd =
           if (createUniqueIds && needsId(fd)) {
@@ -74,15 +74,14 @@ object LazyExpressionLifter {
         (fd -> nfd)
     }.toMap
 
-    lazy val lazyFun = ProgramUtil.functionByFullName("leon.lazyeval.$.apply", prog).get
-    lazy val valueFun = ProgramUtil.functionByFullName("leon.lazyeval.$.value", prog).get
+    lazy val lazyFun = ProgramUtil.functionByFullName("leon.lazyeval.$", prog).get
+    lazy val valueFun = ProgramUtil.functionByFullName("leon.lazyeval.Lazy.value", prog).get
 
     var anchorDef: Option[FunDef] = None // a hack to find anchors
     prog.modules.foreach { md =>
       def exprLifter(inmem: Boolean)(fl: Option[FreeVarListIterator])(expr: Expr) = expr match {
-        // is this $(e) where e is not a funtion
         case finv @ FunctionInvocation(lazytfd, Seq(callByNameArg)) if isLazyInvocation(finv)(prog) =>
-          val Lambda(Seq(), arg) = callByNameArg  // extract the call-by-name parameter
+          val Lambda(Seq(), arg) = callByNameArg // extract the call-by-name parameter
           arg match {
             case _: FunctionInvocation =>
               finv
@@ -116,11 +115,11 @@ object LazyExpressionLifter {
                   fvVars :+ fl.get.nextExpr
                 else fvVars
               FunctionInvocation(lazytfd, Seq(Lambda(Seq(),
-                  FunctionInvocation(TypedFunDef(argfun, tparams), params))))
+                FunctionInvocation(TypedFunDef(argfun, tparams), params))))
           }
 
         // is the argument of eager invocation not a variable ?
-        case finv @ FunctionInvocation(TypedFunDef(fd, Seq(tp)), cbn@Seq(Lambda(Seq(), arg))) if isEagerInvocation(finv)(prog) =>
+        case finv @ FunctionInvocation(TypedFunDef(fd, Seq(tp)), cbn @ Seq(Lambda(Seq(), arg))) if isEagerInvocation(finv)(prog) =>
           val rootType = bestRealType(tp)
           val ntps = Seq(rootType)
           arg match {
@@ -129,7 +128,7 @@ object LazyExpressionLifter {
             case _ =>
               val freshid = FreshIdentifier("t", rootType)
               Let(freshid, arg, FunctionInvocation(TypedFunDef(fd, ntps),
-                  Seq(Lambda(Seq(), freshid.toVariable))))
+                Seq(Lambda(Seq(), freshid.toVariable))))
           }
 
         // is this an invocation of a memoized  function ?
@@ -169,8 +168,12 @@ object LazyExpressionLifter {
               val nargs = args map rec(inmem || isMemCons(e)(prog))
               exprLifter(inmem)(fliter)(op(nargs))
           }
-          nfd.fullBody = rec(false)(fd.fullBody)
-        case _ => ;
+          if(fd.hasPrecondition)
+            nfd.precondition = Some(rec(true)(fd.precondition.get))
+          if (fd.hasPostcondition)
+            nfd.postcondition = Some(rec(true)(fd.postcondition.get))
+          nfd.body = Some(rec(false)(fd.body.get))
+        case fd =>
       }
     }
     val progWithFuns = copyProgram(prog, (defs: Seq[Definition]) => defs.map {
diff --git a/src/main/scala/leon/laziness/LazyVerificationPhase.scala b/src/main/scala/leon/laziness/LazyVerificationPhase.scala
index dcc0384d7..ac4f04fae 100644
--- a/src/main/scala/leon/laziness/LazyVerificationPhase.scala
+++ b/src/main/scala/leon/laziness/LazyVerificationPhase.scala
@@ -114,8 +114,9 @@ object LazyVerificationPhase {
         val inferctx = new InferenceContext(p, ctxForInf)
         val vcSolver = (funDef: FunDef, prog: Program) => new VCSolver(inferctx, prog, funDef)
 
-        if (debugInferProgram)
+        if (debugInferProgram){
           prettyPrintProgramToFile(inferctx.inferProgram, checkCtx, "-inferProg", true)
+        }
 
         val results = (new InferenceEngine(inferctx)).analyseProgram(inferctx.inferProgram,
             funsToCheck.map(InstUtil.userFunctionName), vcSolver, None)
diff --git a/src/main/scala/leon/transformations/InstProgSimplifier.scala b/src/main/scala/leon/transformations/InstProgSimplifier.scala
index ebb1abe00..56eecde2a 100644
--- a/src/main/scala/leon/transformations/InstProgSimplifier.scala
+++ b/src/main/scala/leon/transformations/InstProgSimplifier.scala
@@ -26,8 +26,14 @@ import invariant.util.LetTupleSimplification._
 object ProgramSimplifier {
   val debugSimplify = false
 
-  def mapProgram(funMap: Map[FunDef, FunDef]): Map[FunDef, FunDef] = {
-
+  def apply(program: Program, instFuncs: Seq[FunDef]): Program = {
+    val funMap = ((userLevelFunctions(program) ++ instFuncs).distinct).foldLeft(Map[FunDef, FunDef]()) {
+      case (accMap, fd) => {
+        val freshId = FreshIdentifier(fd.id.name, fd.returnType)
+        val newfd = new FunDef(freshId, fd.tparams, fd.params, fd.returnType)
+        accMap + (fd -> newfd)
+      }
+    }
     def mapExpr(ine: Expr, fd: FunDef): Expr = {
       val replaced = simplePostTransform((e: Expr) => e match {
         case FunctionInvocation(tfd, args) if funMap.contains(tfd.fd) =>
@@ -54,39 +60,13 @@ object ProgramSimplifier {
       //copy annotations
       from.flags.foreach(to.addFlag(_))
     }
-    funMap
-  }
-
-  def createNewFunDefs(program: Program): Map[FunDef, FunDef] = {
-    val allFuncs = functionsWOFields(program.definedFunctions)
-
-    allFuncs.foldLeft(Map[FunDef, FunDef]()) {
-      case (accMap, fd) if fd.isTheoryOperation =>
-        accMap + (fd -> fd)
-      case (accMap, fd) => {
-        //here we need not augment the return types
-        val freshId = FreshIdentifier(fd.id.name, fd.returnType)
-        val newfd = new FunDef(freshId, fd.tparams, fd.params, fd.returnType)
-        accMap.updated(fd, newfd)
-      }
-    }
-  }
-
-  def createNewProg(mappedFuncs: Map[FunDef, FunDef], prog: Program): Program = {
-    val newprog = copyProgram(prog, (defs: Seq[Definition]) => defs.map {
-      case fd: FunDef if mappedFuncs.contains(fd) =>
-        mappedFuncs(fd)
-      case d => d
+    val newprog = copyProgram(program, (defs: Seq[Definition]) => defs.map {
+      case fd: FunDef if funMap.contains(fd) => funMap(fd)
+      case d                                 => d
     })
 
     if (debugSimplify)
       println("After Simplifications: \n" + ScalaPrinter.apply(newprog))
     newprog
   }
-
-  def apply(program: Program): Program = {
-    val newFuncs = createNewFunDefs(program)
-    val mappedFuncs = mapProgram(newFuncs)
-    createNewProg(mappedFuncs, program)
-  }
 }
\ No newline at end of file
diff --git a/src/main/scala/leon/transformations/NonlinearityEliminationPhase.scala b/src/main/scala/leon/transformations/NonlinearityEliminationPhase.scala
index 6d740de6a..68b892272 100644
--- a/src/main/scala/leon/transformations/NonlinearityEliminationPhase.scala
+++ b/src/main/scala/leon/transformations/NonlinearityEliminationPhase.scala
@@ -100,13 +100,12 @@ class NonlinearityEliminator(skipAxioms: Boolean, domain: TypeTree) {
 
   //TOOD: note associativity property of multiplication is not taken into account
   def apply(program: Program): Program = {
-
     //create a fundef for each function in the program
-    val newFundefs = program.definedFunctions.map((fd) => {
-      val newFunType = FunctionType(fd.tparams.map((currParam) => currParam.tp), fd.returnType)
+    val newFundefs = userLevelFunctions(program).map { fd =>
+      val newFunType = FunctionType(fd.tparams.map(_.tp), fd.returnType)
       val newfd = new FunDef(FreshIdentifier(fd.id.name, newFunType, false), fd.tparams, fd.params, fd.returnType)
-      (fd, newfd)
-    }).toMap
+      (fd -> newfd)
+    }.toMap
 
     //note, handling templates variables is slightly tricky as we need to preserve a*x as it is
     val tmult = TypedFunDef(multFun, Seq())
@@ -135,49 +134,44 @@ class NonlinearityEliminator(skipAxioms: Boolean, domain: TypeTree) {
     }
 
     //create a body, pre, post for each newfundef
-    newFundefs.foreach((entry) => {
-      val (fd, newfd) = entry
-
-      //add a new precondition
-      newfd.precondition =
-        if (fd.precondition.isDefined)
-          Some(replaceFun(fd.precondition.get))
-        else None
-
-      //add a new body
-      newfd.body = if (fd.hasBody) {
-        //replace variables by constants if possible
-        val simpBody = simplifyLets(fd.body.get)
-        Some(replaceFun(simpBody))
-      } else None
-
-      //add a new postcondition
-      newfd.postcondition = if (fd.postcondition.isDefined) {
-        //we need to handle template and postWoTemplate specially
-        val Lambda(resultBinders, _) = fd.postcondition.get
-        val tmplExpr = fd.templateExpr
-        val newpost = if (fd.hasTemplate) {
-          val FunctionInvocation(tmpfd, Seq(Lambda(tmpvars, tmpbody))) = tmplExpr.get
-          val newtmp = FunctionInvocation(tmpfd, Seq(Lambda(tmpvars,
-            replaceFun(tmpbody, tmpvars.map(_.id).toSet))))
-          fd.postWoTemplate match {
-            case None =>
-              newtmp
-            case Some(postExpr) =>
-              And(replaceFun(postExpr), newtmp)
-          }
-        } else
-          replaceFun(fd.getPostWoTemplate)
-
-        Some(Lambda(resultBinders, newpost))
-      } else None
-
-      fd.flags.foreach(newfd.addFlag(_))
-    })       
+    newFundefs.foreach {
+      case (fd, newfd) =>
+        //add a new precondition
+        newfd.precondition =
+          if (fd.precondition.isDefined)
+            Some(replaceFun(fd.precondition.get))
+          else None
+        //add a new body
+        newfd.body = if (fd.hasBody) {
+          //replace variables by constants if possible
+          val simpBody = simplifyLets(fd.body.get)
+          Some(replaceFun(simpBody))
+        } else None
+        //add a new postcondition
+        newfd.postcondition = if (fd.postcondition.isDefined) {
+          //we need to handle template and postWoTemplate specially
+          val Lambda(resultBinders, _) = fd.postcondition.get
+          val tmplExpr = fd.templateExpr
+          val newpost = if (fd.hasTemplate) {
+            val FunctionInvocation(tmpfd, Seq(Lambda(tmpvars, tmpbody))) = tmplExpr.get
+            val newtmp = FunctionInvocation(tmpfd, Seq(Lambda(tmpvars,
+              replaceFun(tmpbody, tmpvars.map(_.id).toSet))))
+            fd.postWoTemplate match {
+              case None =>
+                newtmp
+              case Some(postExpr) =>
+                And(replaceFun(postExpr), newtmp)
+            }
+          } else
+            replaceFun(fd.getPostWoTemplate)
+          Some(Lambda(resultBinders, newpost))
+        } else None
+        fd.flags.foreach(newfd.addFlag(_))
+    }
     val transProg = copyProgram(program, (defs: Seq[Definition]) => {
       defs.map {
-        case fd: FunDef => newFundefs(fd)
-        case d => d
+        case fd: FunDef if newFundefs.contains(fd) => newFundefs(fd)
+        case d          => d
       }
     })
     val newprog =
diff --git a/src/main/scala/leon/transformations/SerialInstrumentationPhase.scala b/src/main/scala/leon/transformations/SerialInstrumentationPhase.scala
index cee20aca2..7e60625c6 100644
--- a/src/main/scala/leon/transformations/SerialInstrumentationPhase.scala
+++ b/src/main/scala/leon/transformations/SerialInstrumentationPhase.scala
@@ -26,8 +26,10 @@ object InstrumentationPhase extends TransformationPhase {
   val description = "Instruments the program for all counters needed"
 
   def apply(ctx: LeonContext, program: Program): Program = {
-    val instprog = new SerialInstrumenter(program)
-    instprog.apply
+    val si = new SerialInstrumenter(program)
+    val instprog = si.apply
+    //println("Instrumented Program: "+ScalaPrinter.apply(instprog, purescala.PrinterOptions(printUniqueIds = true)))
+    instprog
   }
 }
 
@@ -36,6 +38,7 @@ class SerialInstrumenter(program: Program,
   val debugInstrumentation = false
 
   val exprInstFactory = exprInstOpt.getOrElse((x: Map[FunDef, FunDef], y: SerialInstrumenter, z: FunDef) => new ExprInstrumenter(x, y)(z))
+
   val instToInstrumenter: Map[Instrumentation, Instrumenter] =
     Map(Time -> new TimeInstrumenter(program, this),
       Depth -> new DepthInstrumenter(program, this),
@@ -44,7 +47,7 @@ class SerialInstrumenter(program: Program,
       TPR -> new TPRInstrumenter(program, this))
 
   // a map from functions to the list of instrumentations to be performed for the function
-  lazy val funcInsts = {
+  val funcInsts = {
     var emap = MutableMap[FunDef, List[Instrumentation]]()
     def update(fd: FunDef, inst: Instrumentation) {
       if (emap.contains(fd))
@@ -59,7 +62,7 @@ class SerialInstrumenter(program: Program,
     }
     emap.toMap
   }
-  lazy val instFuncs = funcInsts.keySet //should we exclude theory operations ?
+  val instFuncs = funcInsts.keySet
 
   def instrumenters(fd: FunDef) = funcInsts(fd) map instToInstrumenter.apply _
   def instTypes(fd: FunDef) = funcInsts(fd).map(_.getType)
@@ -72,121 +75,118 @@ class SerialInstrumenter(program: Program,
 
   def apply: Program = {
 
-    //create new functions. Augment the return type of a function iff the postcondition uses
-    //the instrumentation variable or if the function is transitively called from such a function
-    //note: need not instrument fields
-    val funMap = functionsWOFields(program.definedFunctions).foldLeft(Map[FunDef, FunDef]()) {
-      case (accMap, fd: FunDef) if fd.isTheoryOperation =>
-        accMap + (fd -> fd)
-      case (accMap, fd) => {
+    if (instFuncs.isEmpty) program
+    else {
+      //create new functions. Augment the return type of a function iff the postcondition uses
+      //the instrumentation variable or if the function is transitively called from such a function
+      var funMap = Map[FunDef, FunDef]()
+      (userLevelFunctions(program) ++ instFuncs).distinct.foreach { fd =>
         if (instFuncs.contains(fd)) {
           val newRetType = TupleType(fd.returnType +: instTypes(fd))
           // let the names of the function encode the kind of instrumentations performed
           val freshId = FreshIdentifier(fd.id.name + "-" + funcInsts(fd).map(_.name).mkString("-"), newRetType)
           val newfd = new FunDef(freshId, fd.tparams, fd.params, newRetType)
-          accMap + (fd -> newfd)
+          funMap += (fd -> newfd)
         } else {
           //here we need not augment the return types but do need to create a new copy
           val freshId = FreshIdentifier(fd.id.name, fd.returnType)
           val newfd = new FunDef(freshId, fd.tparams, fd.params, fd.returnType)
-          accMap + (fd -> newfd)
+          funMap += (fd -> newfd)
         }
       }
-    }
 
-    def mapExpr(ine: Expr): Expr = {
-      simplePostTransform((e: Expr) => e match {
-        case FunctionInvocation(tfd, args) if funMap.contains(tfd.fd) =>
-          if (instFuncs.contains(tfd.fd))
-            TupleSelect(FunctionInvocation(TypedFunDef(funMap(tfd.fd), tfd.tps), args), 1)
-          else
-            FunctionInvocation(TypedFunDef(funMap(tfd.fd), tfd.tps), args)
-        case _ => e
-      })(ine)
-    }
+      def mapExpr(ine: Expr): Expr = {
+        simplePostTransform((e: Expr) => e match {
+          case FunctionInvocation(tfd, args) if funMap.contains(tfd.fd) =>
+            if (instFuncs.contains(tfd.fd))
+              TupleSelect(FunctionInvocation(TypedFunDef(funMap(tfd.fd), tfd.tps), args), 1)
+            else
+              FunctionInvocation(TypedFunDef(funMap(tfd.fd), tfd.tps), args)
+          case _ => e
+        })(ine)
+      }
 
-    def mapBody(body: Expr, from: FunDef, to: FunDef) = {
-      val res =
-        if (from.isExtern) {
-          // this is an extern function, we must only rely on the specs
-          // so make the body empty
-          NoTree(to.returnType)
-        } else if (instFuncs.contains(from)) {
-          //(new ExprInstrumenter(funMap, this)(from)(body))
-          exprInstFactory(funMap, this, from)(body)
-        } else
-          mapExpr(body)
-      res
-    }
+      def mapBody(body: Expr, from: FunDef, to: FunDef) = {
+        val res =
+          if (from.isExtern) {
+            // this is an extern function, we must only rely on the specs
+            // so make the body empty
+            NoTree(to.returnType)
+          } else if (instFuncs.contains(from)) {
+            exprInstFactory(funMap, this, from)(body)
+          } else
+            mapExpr(body)
+        res
+      }
 
-    def mapPost(pred: Expr, from: FunDef, to: FunDef) = {
-      pred match {
-        case Lambda(Seq(ValDef(fromRes)), postCond) if (instFuncs.contains(from)) =>
-          val toResId = FreshIdentifier(fromRes.name, to.returnType, true)
-          val newpost = postMap((e: Expr) => e match {
-            case Variable(`fromRes`) =>
-              Some(TupleSelect(toResId.toVariable, 1))
-
-            case _ if funcInsts(from).exists(_.isInstVariable(e)) =>
-              val inst = funcInsts(from).find(_.isInstVariable(e)).get
-              Some(TupleSelect(toResId.toVariable, instIndex(from)(inst)))
-
-            case _ =>
-              None
-          })(postCond)
-          Lambda(Seq(ValDef(toResId)), mapExpr(newpost))
-        case _ =>
-          mapExpr(pred)
+      def mapPost(pred: Expr, from: FunDef, to: FunDef) = {
+        pred match {
+          case Lambda(Seq(ValDef(fromRes)), postCond) if (instFuncs.contains(from)) =>
+            val toResId = FreshIdentifier(fromRes.name, to.returnType, true)
+            val newpost = postMap((e: Expr) => e match {
+              case Variable(`fromRes`) =>
+                Some(TupleSelect(toResId.toVariable, 1))
+
+              case _ if funcInsts(from).exists(_.isInstVariable(e)) =>
+                val inst = funcInsts(from).find(_.isInstVariable(e)).get
+                Some(TupleSelect(toResId.toVariable, instIndex(from)(inst)))
+
+              case _ =>
+                None
+            })(postCond)
+            Lambda(Seq(ValDef(toResId)), mapExpr(newpost))
+          case _ =>
+            mapExpr(pred)
+        }
       }
-    }
 
-    // Map the bodies and preconditions
-    for ((from, to) <- funMap) {
-      //copy annotations
-      from.flags.foreach(to.addFlag(_))
-      to.fullBody = from.fullBody match {
-        case b @ NoTree(_) => NoTree(to.returnType)
-        case Require(pre, body) =>
-          //here 'from' does not have a postcondition but 'to' will always have a postcondition
-          val toPost =
-            Lambda(Seq(ValDef(FreshIdentifier("res", to.returnType))), BooleanLiteral(true))
-          val bodyPre =
-            Require(mapExpr(pre), mapBody(body, from, to))
-          Ensuring(bodyPre, toPost)
-
-        case Ensuring(Require(pre, body), post) =>
-          Ensuring(Require(mapExpr(pre), mapBody(body, from, to)),
-            mapPost(post, from, to))
-
-        case Ensuring(body, post) =>
-          Ensuring(mapBody(body, from, to), mapPost(post, from, to))
-
-        case body =>
-          val toPost =
-            Lambda(Seq(ValDef(FreshIdentifier("res", to.returnType))), BooleanLiteral(true))
-          Ensuring(mapBody(body, from, to), toPost)
+      // Map the bodies and preconditions
+      for ((from, to) <- funMap) {
+        //copy annotations
+        from.flags.foreach(to.addFlag(_))
+        to.fullBody = from.fullBody match {
+          case b @ NoTree(_) => NoTree(to.returnType)
+          case Require(pre, body) =>
+            //here 'from' does not have a postcondition but 'to' will always have a postcondition
+            val toPost =
+              Lambda(Seq(ValDef(FreshIdentifier("res", to.returnType))), BooleanLiteral(true))
+            val bodyPre =
+              Require(mapExpr(pre), mapBody(body, from, to))
+            Ensuring(bodyPre, toPost)
+
+          case Ensuring(Require(pre, body), post) =>
+            Ensuring(Require(mapExpr(pre), mapBody(body, from, to)),
+              mapPost(post, from, to))
+
+          case Ensuring(body, post) =>
+            Ensuring(mapBody(body, from, to), mapPost(post, from, to))
+
+          case body =>
+            val toPost =
+              Lambda(Seq(ValDef(FreshIdentifier("res", to.returnType))), BooleanLiteral(true))
+            Ensuring(mapBody(body, from, to), toPost)
+        }
       }
-    }
 
-    val additionalFuncs = funMap.flatMap {
-      case (k, _) =>
-        if (instFuncs(k))
-          instrumenters(k).flatMap(_.additionalfunctionsToAdd)
-        else List()
-    }.toList.distinct
-
-    val newprog = copyProgram(program, (defs: Seq[Definition]) =>
-      defs.map {
-        case fd: FunDef if funMap.contains(fd) =>
-          funMap(fd)
-        case d => d
-      } ++ additionalFuncs)
-    if (debugInstrumentation)
-      println("After Instrumentation: \n" + ScalaPrinter.apply(newprog))
-
-    ProgramSimplifier(newprog)
+      val additionalFuncs = funMap.flatMap {
+        case (k, _) =>
+          if (instFuncs(k))
+            instrumenters(k).flatMap(_.additionalfunctionsToAdd)
+          else List()
+      }.toList.distinct
+
+      val newprog = copyProgram(program, (defs: Seq[Definition]) =>
+        defs.map {
+          case fd: FunDef if funMap.contains(fd) =>
+            funMap(fd)
+          case d => d
+        } ++ additionalFuncs)
+      if (debugInstrumentation)
+        println("After Instrumentation: \n" + ScalaPrinter.apply(newprog))
+
+      ProgramSimplifier(newprog, instFuncs.toSeq)
+    }
   }
-
 }
 
 class ExprInstrumenter(funMap: Map[FunDef, FunDef], serialInst: SerialInstrumenter)(implicit currFun: FunDef) {
@@ -250,11 +250,9 @@ class ExprInstrumenter(funMap: Map[FunDef, FunDef], serialInst: SerialInstrument
               val valexpr = TupleSelect(resvar, 1)
               val instexprs = instrumenters.map { m =>
                 val calleeInst =
-                  if (serialInst.funcInsts(fd).contains(m.inst) &&
-                    fd.isUserFunction) {
-                    // ignoring fields here
+                  if (serialInst.funcInsts(fd).contains(m.inst) && fd.isUserFunction) {
                     List(serialInst.selectInst(fd)(resvar, m.inst))
-                  } else List()
+                  } else List() // ignoring fields here
                 //Note we need to ensure that the last element of list is the instval of the finv
                 m.instrument(e, subeInsts.getOrElse(m.inst, List()) ++ calleeInst, Some(resvar))
               }
@@ -411,12 +409,6 @@ class ExprInstrumenter(funMap: Map[FunDef, FunDef], serialInst: SerialInstrument
     case n @ Operator(ss, recons) =>
       tupleify(e, ss, recons)
 
-    /*      case b @ BinaryOperator(s1, s2, recons) =>
-        tupleify(e, Seq(s1, s2), { case Seq(s1, s2) => recons(s1, s2) })
-
-      case u @ UnaryOperator(s, recons) =>
-        tupleify(e, Seq(s), { case Seq(s) => recons(s) })
-*/
     case t: Terminal =>
       tupleify(e, Seq(), { case Seq() => t })
   }
@@ -431,7 +423,6 @@ class ExprInstrumenter(funMap: Map[FunDef, FunDef], serialInst: SerialInstrument
     val instExprs = instrumenters map { m =>
       m.instrumentBody(newe,
         selectInst(bodyId.toVariable, m.inst))
-
     }
     Let(bodyId, transformed,
       Tuple(TupleSelect(bodyId.toVariable, 1) +: instExprs))
diff --git a/testcases/lazy-datastructures/Unproved/HammingProblem.scala b/testcases/lazy-datastructures/Unproved/HammingProblem.scala
deleted file mode 100644
index 79acc3ba6..000000000
--- a/testcases/lazy-datastructures/Unproved/HammingProblem.scala
+++ /dev/null
@@ -1,94 +0,0 @@
-import leon.lazyeval._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.lazyeval.$.eagerToLazy
-import scala.math.BigInt.int2bigInt
-//import leon.invariant._
-
-/**
- * Not the required bound
- */
-object Hamming {
-
-  sealed abstract class IList {
-    def size: BigInt = {
-      this match {
-        case SNil()      => BigInt(0)
-        case SCons(x, t) => 1 + ssize(t)
-      }
-    } ensuring (_ >= 0)
-  }
-  case class SCons(x: BigInt, tail: $[IList]) extends IList
-  case class SNil() extends IList
-  def ssize(l: $[IList]): BigInt = (l*).size
-
-  sealed abstract class List {
-    def size: BigInt = {
-      this match {
-        case Cons(_, xs) => 1 + xs.size
-        case _           => BigInt(0)
-      }
-    } ensuring (_ >= 0)
-  }
-  case class Cons(x: BigInt, tail: List) extends List
-  case class Nil() extends List
-
-  /**
-   * The following implementation of Merge
-   * produces a list with out duplicates
-   */
-  def merge(a: $[IList], b: $[IList]): IList = {
-    require(a.isSuspension(mult _) && b.isSuspension(mult _))
-    b.value match {
-      case SNil() => a.value
-      case bl @ SCons(x, xs) =>
-        a.value match {
-          case SNil() => bl
-          case SCons(y, ys) =>
-            if (x == y)
-              SCons(x, $(merge(ys, xs)))
-            else if (y < x)
-              SCons(y, $(merge(ys, b)))
-            else
-              SCons(x, $(merge(a, xs)))
-        }
-    }
-  } ensuring(_ => time <= 100)
-
-  def mult(num: BigInt, l: IList): IList ={
-    l match {
-      case SNil() => SNil()
-      case SCons(x, tail) => SCons(num*x, tail)
-    }
-  } ensuring(_ => time <= 20)
-
-  def nextElems(n: BigInt): IList = {
-    merge(merge($(mult(2, hamming(n-1))), $(mult(3, hamming(n-1)))),
-        $(mult(5, hamming(n-1))))
-  } //ensuring(_ => time <= )
-
-  /**
-   * 'n' is some constant that controls the size.
-   * Note: the return list would have at least 'n' elements (and possibly more)
-   * but is still finite
-   */
-   def hamming(n: BigInt): IList = {
-    if (n <= 0)
-      SNil()
-    else
-      SCons(1, $(nextElems(n)))
-  }
-
-   def kthHamming(k: BigInt, hstream: $[IList]): BigInt = {
-     require(k >= 1)
-     hstream.value match {
-       case SCons(x, _) =>
-         if(k == 1)
-           x
-         else kthHamming(k-1, hstream)
-       case SNil() =>
-         BigInt(-1)
-     }
-   } //ensuring(_ => time <= 40 * k + 40)
-}
diff --git a/testcases/lazy-datastructures/build.sbt b/testcases/lazy-datastructures/build.sbt
new file mode 100644
index 000000000..ff26464c9
--- /dev/null
+++ b/testcases/lazy-datastructures/build.sbt
@@ -0,0 +1,15 @@
+name := "LazyDataStructures"
+
+version := "1.0"
+
+organization := "ch.epfl.lara"
+
+scalaVersion := "2.11.7"
+
+fork in run := true
+
+javaOptions in run ++= Seq("-Xmx5G", "-Xms3G", "-Xss500M")
+
+scalacOptions ++= Seq("-optimise")
+
+unmanagedSourceDirectories in Compile ++= Seq("withOrb", "eager").map(dir => baseDirectory.value / dir)
diff --git a/testcases/lazy-datastructures/conc/Conqueue.scala b/testcases/lazy-datastructures/conc/Conqueue.scala
index 8e16fb1bc..360aef160 100644
--- a/testcases/lazy-datastructures/conc/Conqueue.scala
+++ b/testcases/lazy-datastructures/conc/Conqueue.scala
@@ -1,11 +1,11 @@
 package conc
 
-import leon.lazyeval._
-import leon.lang._
-import leon.math._
-import leon.annotation._
-import leon.instrumentation._
-import leon.lazyeval.$._
+import leon._
+import lazyeval._
+import lang._
+import math._
+import annotation._
+import instrumentation._
 
 import ConcTrees._
 
@@ -42,7 +42,7 @@ object Conqueue {
   }
 
   case class Tip[T](t: Conc[T]) extends ConQ[T]
-  case class Spine[T](head: Conc[T], createdWithSuspension: Bool, rear: $[ConQ[T]]) extends ConQ[T]
+  case class Spine[T](head: Conc[T], createdWithSuspension: Bool, rear: Lazy[ConQ[T]]) extends ConQ[T]
 
   sealed abstract class Bool
   case class True() extends Bool
@@ -51,7 +51,7 @@ object Conqueue {
   /**
    * Checks whether there is a zero before an unevaluated closure
    */
-  def zeroPrecedesLazy[T](q: $[ConQ[T]]): Boolean = {
+  def zeroPrecedesLazy[T](q: Lazy[ConQ[T]]): Boolean = {
     if (q.isEvaluated) {
       q* match {
         case Spine(Empty(), _, rear) =>
@@ -66,7 +66,7 @@ object Conqueue {
   /**
    * Checks whether there is a zero before a given suffix
    */
-  def zeroPrecedesSuf[T](q: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def zeroPrecedesSuf[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     if (q != suf) {
       q* match {
         case Spine(Empty(), _, rear) => true
@@ -81,7 +81,7 @@ object Conqueue {
    * Everything until suf is evaluated. This
    * also asserts that suf should be a suffix of the list
    */
-  def concreteUntil[T](l: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def concreteUntil[T](l: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     if (l != suf) {
       l.isEvaluated && (l* match {
         case Spine(_, cws, tail) =>
@@ -92,7 +92,7 @@ object Conqueue {
     } else true
   }
 
-  def isConcrete[T](l: $[ConQ[T]]): Boolean = {
+  def isConcrete[T](l: Lazy[ConQ[T]]): Boolean = {
     l.isEvaluated && (l* match {
       case Spine(_, _, tail) =>
         isConcrete(tail)
@@ -101,10 +101,10 @@ object Conqueue {
   }
 
   sealed abstract class Scheds[T]
-  case class Cons[T](h: $[ConQ[T]], tail: Scheds[T]) extends Scheds[T]
+  case class Cons[T](h: Lazy[ConQ[T]], tail: Scheds[T]) extends Scheds[T]
   case class Nil[T]() extends Scheds[T]
 
-  def schedulesProperty[T](q: $[ConQ[T]], schs: Scheds[T]): Boolean = {
+  def schedulesProperty[T](q: Lazy[ConQ[T]], schs: Scheds[T]): Boolean = {
     schs match {
       case Cons(head, tail) =>
         head* match {
@@ -120,7 +120,7 @@ object Conqueue {
     }
   }
 
-  def strongSchedsProp[T](q: $[ConQ[T]], schs: Scheds[T]) = {
+  def strongSchedsProp[T](q: Lazy[ConQ[T]], schs: Scheds[T]) = {
     q.isEvaluated && {
       schs match {
         case Cons(head, tail) =>
@@ -134,7 +134,7 @@ object Conqueue {
   /**
    * Note: if 'q' has a suspension then it would have a carry.
    */
-  def pushUntilCarry[T](q: $[ConQ[T]]): $[ConQ[T]] = {
+  def pushUntilCarry[T](q: Lazy[ConQ[T]]): Lazy[ConQ[T]] = {
     q* match {
       case Spine(Empty(), _, rear) => // if we push a carry and get back 0 then there is a new carry
         pushUntilCarry(rear)
@@ -145,11 +145,11 @@ object Conqueue {
     }
   }
 
-  case class Queue[T](queue: $[ConQ[T]], schedule: Scheds[T]) {
+  case class Queue[T](queue: Lazy[ConQ[T]], schedule: Scheds[T]) {
     val valid = strongSchedsProp(queue, schedule)
   }
 
-  def pushLeft[T](ys: Single[T], xs: $[ConQ[T]]): ConQ[T] = {
+  def pushLeft[T](ys: Single[T], xs: Lazy[ConQ[T]]): ConQ[T] = {
     require(zeroPrecedesLazy(xs))
     xs.value match {
       case Tip(CC(_, _)) =>
@@ -167,7 +167,7 @@ object Conqueue {
 
   // this procedure does not change state
   @invstate
-  def pushLeftLazy[T](ys: Conc[T], xs: $[ConQ[T]]): ConQ[T] = {
+  def pushLeftLazy[T](ys: Conc[T], xs: Lazy[ConQ[T]]): ConQ[T] = {
     require(!ys.isEmpty && zeroPrecedesLazy(xs) &&
       (xs* match {
         case Spine(h, _, _) => h != Empty[T]()
@@ -214,7 +214,7 @@ object Conqueue {
    * forall suf. suf*.head != Empty() ^ zeroPredsSuf(xs, suf) ^ concUntil(xs.tail.tail, suf) => concUntil(push(rear), suf)
    */
   @invstate
-  def pushLeftLazyLemma[T](ys: Conc[T], xs: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def pushLeftLazyLemma[T](ys: Conc[T], xs: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     require(!ys.isEmpty && zeroPrecedesSuf(xs, suf) &&
       (xs* match {
         case Spine(h, _, _) => h != Empty[T]()
@@ -266,7 +266,7 @@ object Conqueue {
       case _ =>
         w.schedule
     }
-    val lq: $[ConQ[T]] = nq
+    val lq: Lazy[ConQ[T]] = nq
     (lq, nsched)
   } ensuring { res =>
     // lemma instantiations
@@ -285,7 +285,7 @@ object Conqueue {
       time <= 80
   }
 
-  def Pay[T](q: $[ConQ[T]], scheds: Scheds[T]): Scheds[T] = {
+  def Pay[T](q: Lazy[ConQ[T]], scheds: Scheds[T]): Scheds[T] = {
     require(schedulesProperty(q, scheds) && q.isEvaluated)
     scheds match {
       case c @ Cons(head, rest) =>
@@ -341,7 +341,7 @@ object Conqueue {
   }
 
   // monotonicity lemmas
-  def schedMonotone[T](st1: Set[$[ConQ[T]]], st2: Set[$[ConQ[T]]], scheds: Scheds[T], l: $[ConQ[T]]): Boolean = {
+  def schedMonotone[T](st1: Set[Lazy[ConQ[T]]], st2: Set[Lazy[ConQ[T]]], scheds: Scheds[T], l: Lazy[ConQ[T]]): Boolean = {
     require(st1.subsetOf(st2) &&
       (schedulesProperty(l, scheds) withState st1)) // here the input state is fixed as 'st1'
     //induction scheme
@@ -359,18 +359,18 @@ object Conqueue {
   } holds
 
   @traceInduct
-  def concreteMonotone[T](st1: Set[$[ConQ[T]]], st2: Set[$[ConQ[T]]], l: $[ConQ[T]]): Boolean = {
+  def concreteMonotone[T](st1: Set[Lazy[ConQ[T]]], st2: Set[Lazy[ConQ[T]]], l: Lazy[ConQ[T]]): Boolean = {
     ((isConcrete(l) withState st1) && st1.subsetOf(st2)) ==> (isConcrete(l) withState st2)
   } holds
 
   @traceInduct
-  def concUntilMonotone[T](q: $[ConQ[T]], suf: $[ConQ[T]], st1: Set[$[ConQ[T]]], st2: Set[$[ConQ[T]]]): Boolean = {
+  def concUntilMonotone[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]], st1: Set[Lazy[ConQ[T]]], st2: Set[Lazy[ConQ[T]]]): Boolean = {
     ((concreteUntil(q, suf) withState st1) && st1.subsetOf(st2)) ==> (concreteUntil(q, suf) withState st2)
   } holds
 
   // suffix predicates and  their properties (this should be generalizable)
 
-  def suffix[T](q: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def suffix[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     if (q == suf) true
     else {
       q* match {
@@ -381,7 +381,7 @@ object Conqueue {
     }
   }
 
-  def properSuffix[T](l: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def properSuffix[T](l: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     l* match {
       case Spine(_, _, rear) =>
         suffix(rear, suf)
@@ -393,7 +393,7 @@ object Conqueue {
    * suf(q, suf) ==> suf(q.rear, suf.rear)
    */
   @traceInduct
-  def suffixTrans[T](q: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def suffixTrans[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     suffix(q, suf) ==> ((q*, suf*) match {
       case (Spine(_, _, rear), Spine(_, _, sufRear)) =>
         // 'sufRear' should be a suffix of 'rear1'
@@ -405,7 +405,7 @@ object Conqueue {
   /**
    * properSuf(l, suf) ==> l != suf
    */
-  def suffixDisequality[T](l: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def suffixDisequality[T](l: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     require(properSuffix(l, suf))
     suffixTrans(l, suf) && // lemma instantiation
       ((l*, suf*) match { // induction scheme
@@ -417,21 +417,21 @@ object Conqueue {
   }.holds
 
   @traceInduct
-  def suffixCompose[T](q: $[ConQ[T]], suf1: $[ConQ[T]], suf2: $[ConQ[T]]): Boolean = {
+  def suffixCompose[T](q: Lazy[ConQ[T]], suf1: Lazy[ConQ[T]], suf2: Lazy[ConQ[T]]): Boolean = {
     (suffix(q, suf1) && properSuffix(suf1, suf2)) ==> properSuffix(q, suf2)
   } holds
 
   // properties of 'concUntil'
 
   @traceInduct
-  def concreteUntilIsSuffix[T](l: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def concreteUntilIsSuffix[T](l: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     concreteUntil(l, suf) ==> suffix(l, suf)
   }.holds
 
   // properties that extend `concUntil` to larger portions of the queue
 
   @traceInduct
-  def concUntilExtenLemma[T](q: $[ConQ[T]], suf: $[ConQ[T]], st1: Set[$[ConQ[T]]], st2: Set[$[ConQ[T]]]): Boolean = {
+  def concUntilExtenLemma[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]], st1: Set[Lazy[ConQ[T]]], st2: Set[Lazy[ConQ[T]]]): Boolean = {
     ((concreteUntil(q, suf) withState st1) && st2 == st1 ++ Set(suf)) ==>
       (suf* match {
         case Spine(_, _, rear) =>
@@ -441,12 +441,12 @@ object Conqueue {
   } holds
 
   @traceInduct
-  def concUntilConcreteExten[T](q: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def concUntilConcreteExten[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     (concreteUntil(q, suf) && isConcrete(suf)) ==> isConcrete(q)
   } holds
 
   @traceInduct
-  def concUntilCompose[T](q: $[ConQ[T]], suf1: $[ConQ[T]], suf2: $[ConQ[T]]): Boolean = {
+  def concUntilCompose[T](q: Lazy[ConQ[T]], suf1: Lazy[ConQ[T]], suf2: Lazy[ConQ[T]]): Boolean = {
     (concreteUntil(q, suf1) && concreteUntil(suf1, suf2)) ==> concreteUntil(q, suf2)
   } holds
 
@@ -454,18 +454,18 @@ object Conqueue {
   //   - these are used in preconditions to derive the `zeroPrecedesLazy` property
 
   @traceInduct
-  def zeroPredSufConcreteUntilLemma[T](q: $[ConQ[T]], suf: $[ConQ[T]]): Boolean = {
+  def zeroPredSufConcreteUntilLemma[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]]): Boolean = {
     (zeroPrecedesSuf(q, suf) && concreteUntil(q, suf)) ==> zeroPrecedesLazy(q)
   } holds
 
   @traceInduct
-  def concreteZeroPredLemma[T](q: $[ConQ[T]]): Boolean = {
+  def concreteZeroPredLemma[T](q: Lazy[ConQ[T]]): Boolean = {
     isConcrete(q) ==> zeroPrecedesLazy(q)
   } holds
 
   // properties relating `suffix` an `zeroPrecedesSuf`
 
-  def suffixZeroLemma[T](q: $[ConQ[T]], suf: $[ConQ[T]], suf2: $[ConQ[T]]): Boolean = {
+  def suffixZeroLemma[T](q: Lazy[ConQ[T]], suf: Lazy[ConQ[T]], suf2: Lazy[ConQ[T]]): Boolean = {
     require(suf* match {
       case Spine(Empty(), _, _) =>
         suffix(q, suf) && properSuffix(suf, suf2)
diff --git a/testcases/lazy-datastructures/eager/AmortizedQueue.scala b/testcases/lazy-datastructures/eager/AmortizedQueue.scala
new file mode 100644
index 000000000..cdbb65727
--- /dev/null
+++ b/testcases/lazy-datastructures/eager/AmortizedQueue.scala
@@ -0,0 +1,83 @@
+package eagerEval
+
+import leon._
+import invariant._
+import instrumentation._
+
+object AmortizedQueue {
+  sealed abstract class List {
+    val size: BigInt = this match {
+      case Nil()       => 0
+      case Cons(_, xs) => 1 + xs.size
+    }
+  }
+  case class Cons(head: BigInt, tail: List) extends List
+  case class Nil() extends List
+
+  def concat(l1: List, l2: List): List = (l1 match {
+    case Nil()       => l2
+    case Cons(x, xs) => Cons(x, concat(xs, l2))
+
+  }) ensuring (res => res.size == l1.size + l2.size && time <= ? * l1.size + ?)
+
+  def reverseRec(l1: List, l2: List): List = (l1 match {
+    case Nil()       => l2
+    case Cons(x, xs) => reverseRec(xs, Cons(x, l2))
+  }) ensuring (res => l1.size + l2.size == res.size && time <= ? * l1.size + ?)
+
+  def listRev(l: List): List = {
+    reverseRec(l, Nil())
+  } ensuring (res => l.size == res.size && time <= ? * l.size + ?)
+
+  def removeLast(l: List): List = {
+    require(l != Nil())
+    l match {
+      case Cons(x, Nil()) => Nil()
+      case Cons(x, xs)    => Cons(x, removeLast(xs))
+      case _              => Nil()
+    }
+  } ensuring (res => res.size <= l.size && tmpl((a, b) => time <= a * l.size + b))
+
+  case class Queue(front: List, rear: List) {
+    def qsize: BigInt = front.size + rear.size
+
+    def asList: List = concat(front, listRev(rear))
+
+    def isAmortized: Boolean = front.size >= rear.size
+
+    def isEmpty: Boolean = this match {
+      case Queue(Nil(), Nil()) => true
+      case _                   => false
+    }
+
+    def amortizedQueue(front: List, rear: List): Queue = {
+      if (rear.size <= front.size)
+        Queue(front, rear)
+      else
+        Queue(concat(front, listRev(rear)), Nil())
+    }
+
+    def enqueue(elem: BigInt): Queue = ({
+      amortizedQueue(front, Cons(elem, rear))
+    }) ensuring (_ => time <= ? * qsize + ?)
+
+    def dequeue: Queue = {
+      require(isAmortized && !isEmpty)
+      front match {
+        case Cons(f, fs) => amortizedQueue(fs, rear)
+        case _           => Queue(Nil(), Nil())
+      }
+    } ensuring (_ => time <= ? * qsize + ?)
+
+    def head: BigInt = {
+      require(isAmortized && !isEmpty)
+      front match {
+        case Cons(f, _) => f
+      }
+    }
+    
+    def reverse: Queue = { // this lets the queue perform deque operation (but they no longer have efficient constant time amortized bounds)
+      amortizedQueue(rear, front)
+    }
+  }
+}
diff --git a/testcases/lazy-datastructures/eager/BasicMergeSort.scala b/testcases/lazy-datastructures/eager/BasicMergeSort.scala
new file mode 100644
index 000000000..481bbbbf0
--- /dev/null
+++ b/testcases/lazy-datastructures/eager/BasicMergeSort.scala
@@ -0,0 +1,41 @@
+package eagerEval
+
+import leon._
+import lang._
+import collection._
+
+object MergeSort {
+
+  def merge[T](less: (T, T) => Boolean)(xs: List[T], ys: List[T]): List[T] = {
+    (xs, ys) match {
+      case (Nil(), _) => ys
+      case (_, Nil()) => xs
+      case (Cons(x, xtail), Cons(y, ytail)) =>
+        if (less(x, y))
+          x :: merge(less)(xtail, ys)
+        else
+          y :: merge(less)(xs, ytail)
+    }
+  } ensuring { res => res.content == xs.content ++ ys.content &&
+                      res.size == xs.size + ys.size }
+
+  def split[T](list: List[T]): (List[T], List[T]) = {
+    list match {
+      case Nil()          => (Nil(), Nil())
+      case Cons(x, Nil()) => (Cons(x, Nil()), Nil())
+      case Cons(x1, Cons(x2, xs)) =>
+        val (s1, s2) = split(xs)
+        (Cons(x1, s1), Cons(x2, s2))
+    } 
+  } 
+
+  def msort[T](less: (T, T) => Boolean)(l: List[T]): List[T] = {
+    l match {
+      case Nil()          => Nil[T]()
+      case Cons(x, Nil()) => Cons(x, Nil())
+      case _ =>
+        val (first, second) = split(l)
+        merge(less)(msort(less)(first), msort(less)(second))
+    }
+  } ensuring { res => res.content == l.content && res.size == l.size }
+}
diff --git a/testcases/lazy-datastructures/eager/BigNums.scala b/testcases/lazy-datastructures/eager/BigNums.scala
new file mode 100644
index 000000000..5d0271b0e
--- /dev/null
+++ b/testcases/lazy-datastructures/eager/BigNums.scala
@@ -0,0 +1,79 @@
+package eagerEval
+
+import leon._
+import annotation._
+import invariant._
+import instrumentation._
+
+object BigNums {
+  sealed abstract class Digit
+  case class Zero() extends Digit {
+    @ignore 
+    override def toString = "0"
+  }
+  case class One() extends Digit {
+    @ignore 
+    override def toString = "1"
+  }
+  
+  sealed abstract class BigNum
+  case class Cons(head: Digit, tail: BigNum) extends BigNum
+  case class Nil() extends BigNum
+
+  /**
+   * Time taken by the increment method
+   * The number of leading one's
+   */
+  def leadingOnes(l: BigNum) : BigInt = {
+    l match {
+      case Nil() => 1
+      case Cons(Zero(), tail) => 1
+      case Cons(_, tail) => 1 + leadingOnes(tail)
+    }
+  }
+
+  /**
+   * Total number of one's in the number
+   */
+  def numOnes(l: BigNum) : BigInt = {
+    l match {
+      case Nil() => 0
+      case Cons(Zero(), tail) => numOnes(tail)
+      case Cons(_, tail) => 1 + numOnes(tail)
+    }
+  }
+  
+  /**
+   * Increments a number
+   */
+  def increment(l: BigNum) : BigNum = {
+    l match {
+      case Nil()              => Cons(One(), l)
+      case Cons(Zero(), tail) => Cons(One(), tail)
+      case Cons(_, tail) => 
+        Cons(Zero(), increment(tail))
+    }
+  } ensuring (res => time <= ? * leadingOnes(l) + ? && leadingOnes(l) + numOnes(res) - numOnes(l) <= ?)
+  
+  def firstDigit(l: BigNum): Digit = {
+    require(l != Nil())
+    l match {
+      case Cons(d, _) => d
+    }
+  }
+
+  /**
+   * Nop is the number of operations
+   */
+  def incrUntil(nop: BigInt, l: BigNum) : BigNum = {
+    if(nop == 0)  l
+    else {
+      incrUntil(nop-1, increment(l))
+    }
+  } ensuring (res => time <= ? * nop + ? * numOnes(l) + ?)
+
+  def count(nop: BigInt) : BigNum = {
+    incrUntil(nop, Nil())
+  } ensuring (res => time <= ? * nop + ?)
+
+}
diff --git a/testcases/lazy-datastructures/lib/lazybenchmarkexecution_2.11-1.0.jar b/testcases/lazy-datastructures/lib/lazybenchmarkexecution_2.11-1.0.jar
new file mode 100644
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C21}O!

literal 0
HcmV?d00001

diff --git a/testcases/lazy-datastructures/memoization/FibonacciMemoized.scala b/testcases/lazy-datastructures/memoization/FibonacciMemoized.scala
index 77ef3233b..2780315c1 100644
--- a/testcases/lazy-datastructures/memoization/FibonacciMemoized.scala
+++ b/testcases/lazy-datastructures/memoization/FibonacciMemoized.scala
@@ -1,8 +1,8 @@
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
 //import leon.invariant._
 
 object FibMem {
diff --git a/testcases/lazy-datastructures/memoization/HammingMemoized.scala b/testcases/lazy-datastructures/memoization/HammingMemoized.scala
index 9c4ae4a0b..36f606b93 100644
--- a/testcases/lazy-datastructures/memoization/HammingMemoized.scala
+++ b/testcases/lazy-datastructures/memoization/HammingMemoized.scala
@@ -1,8 +1,9 @@
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
+import leon._
+
+import mem._
+import lang._
+import annotation._
+import instrumentation._
 
 /**
  * A memoized version of the implementation of Hamming problem shown in
@@ -54,8 +55,8 @@ object Hamming {
     require(n == 0 || n > 0 && depsEval(n - 1))
     ham(n).v
   } ensuring (res => {
-    val in = Mem.inState[Data]
-    val out = Mem.outState[Data]
+    val in = inState[Data]
+    val out = outState[Data]
     (n == 0 || depsEvalMono(n-1, in, out)) && // instantiation
       time <= 170
   })
diff --git a/testcases/lazy-datastructures/memoization/Knapsack.scala b/testcases/lazy-datastructures/memoization/Knapsack.scala
index fc67c5b03..44eadad05 100644
--- a/testcases/lazy-datastructures/memoization/Knapsack.scala
+++ b/testcases/lazy-datastructures/memoization/Knapsack.scala
@@ -1,8 +1,7 @@
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
+import leon._
+import mem._
+import annotation._
+import instrumentation._
 //import leon.invariant._
 
 object Knapscak {
@@ -76,7 +75,7 @@ object Knapscak {
     else {
       Cons((i,ri), bottomup(i + 1, w, items))
     }
-  } ensuring(items.size <= 10 ==> time <= 500 * (w - i + 1))
+  } ensuring(_ => items.size <= 10 ==> time <= 500 * (w - i + 1))
 
   /**
    * Computes the list of optimal solutions of all weights up to 'w'
@@ -84,7 +83,7 @@ object Knapscak {
   def knapSackSol(w: BigInt, items: IList) = {
     require(w >= 0 && items.size <= 10) //  the second requirement is only to keep the bounds linear for z3 to work
     bottomup(0, w, items)
-  } ensuring(time <= 500*w + 510)
+  } ensuring(_ => time <= 500*w + 510)
 
   /**
    * Lemmas of deps
diff --git a/testcases/lazy-datastructures/memoization/PackratParsing.scala b/testcases/lazy-datastructures/memoization/PackratParsing.scala
index f4feed46b..b1b5f175b 100644
--- a/testcases/lazy-datastructures/memoization/PackratParsing.scala
+++ b/testcases/lazy-datastructures/memoization/PackratParsing.scala
@@ -1,5 +1,5 @@
-import leon.lazyeval._
-import leon.lazyeval.Mem._
+import leon._
+import leon.mem._
 import leon.lang._
 import leon.annotation._
 import leon.instrumentation._
@@ -33,7 +33,6 @@ object PackratParsing {
     string(i.toInt)
   } ensuring(_ => time <= 1)
 
-
   sealed abstract class Result {
     /**
      * Checks if the index in the result (if any) is
@@ -51,47 +50,52 @@ object PackratParsing {
   @memoize
   @invstate
   def pAdd(i: BigInt): Result = {
-    require(depsEval(i) &&
-      pMul(i).isCached && pPrim(i).isCached &&
-      resEval(i, pMul(i))) // lemma inst
-
+    require {
+      if (depsEval(i) && pMul(i).isCached && pPrim(i).isCached)
+        resEval(i, pMul(i))
+      else false
+    } // lemma inst
     // Rule 1: Add <- Mul + Add
-    pMul(i) match {
+    val v = pMul(i)
+    v match {
       case Parsed(j) =>
         if (j > 0 && lookup(j) == Plus()) {
           pAdd(j - 1) match {
             case Parsed(rem) =>
               Parsed(rem)
             case _ =>
-              pMul(i) // Rule2: Add <- Mul
+              v // Rule2: Add <- Mul
           }
-        } else pMul(i)
+        } else v
       case _ =>
-        pMul(i)
+        v
     }
-  } ensuring (res => res.smallerIndex(i) && time <= 40)
+  } ensuring (res => res.smallerIndex(i) && time <= 26)
 
   @memoize
   @invstate
   def pMul(i: BigInt): Result = {
-    require(depsEval(i) && pPrim(i).isCached &&
-      resEval(i, pPrim(i)) // lemma inst
-      )
+    require {
+      if (depsEval(i) && pPrim(i).isCached)
+        resEval(i, pPrim(i)) // lemma inst
+      else false
+    }
     // Rule 1: Mul <- Prim *  Mul
-    pPrim(i) match {
+    val v = pPrim(i)
+    v match {
       case Parsed(j) =>
         if (j > 0 && lookup(j) == Plus()) {
           pMul(j - 1) match {
             case Parsed(rem) =>
               Parsed(rem)
             case _ =>
-              pPrim(i) // Rule2: Mul <- Prim
+              v // Rule2: Mul <- Prim
           }
-        } else pPrim(i)
+        } else v
       case _ =>
-        pPrim(i)
+        v
     }
-  } ensuring (res => res.smallerIndex(i) && time <= 40)
+  } ensuring (res => res.smallerIndex(i) && time <= 26)
 
   @memoize
   @invstate
@@ -106,14 +110,15 @@ object PackratParsing {
     } else if (char == Open() && i > 0) {
       pAdd(i - 1) match { // Rule 2: pPrim <- ( Add )
         case Parsed(rem) =>
-          Parsed(rem)
+          if (rem >= 0 && lookup(rem) == Close()) Parsed(rem - 1)
+          else NoParse()
         case _ =>
           NoParse()
       }
     } else NoParse()
-  } ensuring (res => res.smallerIndex(i) && time <= 30)
+  } ensuring (res => res.smallerIndex(i) && time <= 28)
 
-  @inline
+  //@inline
   def depsEval(i: BigInt) = i == 0 || (i > 0 && allEval(i-1))
 
   def allEval(i: BigInt): Boolean = {
@@ -138,7 +143,6 @@ object PackratParsing {
   /**
    * Instantiates the lemma `depsLem` on the result index (if any)
    */
-  @inline
   def resEval(i: BigInt, res: Result) = {
     (res match {
       case Parsed(j) =>
@@ -148,16 +152,38 @@ object PackratParsing {
     })
   }
 
-  def invoke(i: BigInt): (Result, Result, Result) = {
-    require(i == 0 || (i > 0 && allEval(i-1)))
-    (pPrim(i), pMul(i), pAdd(i))
-  } ensuring (res => {
-    val in = Mem.inState[Result]
-    val out = Mem.outState[Result]
+  def invokePrim(i: BigInt): Result = {
+    require(depsEval(i))
+    pPrim(i)
+  } ensuring {res =>
+    val in = inState[Result]
+    val out = outState[Result]
+    (if(i >0) evalMono(i-1, in, out) else true)
+  }
+
+  def invokeMul(i: BigInt): Result = {
+    require(depsEval(i))
+    invokePrim(i) match {
+      case _ => pMul(i)
+    }
+  } ensuring {res =>
+    val in = inState[Result]
+    val out = outState[Result]
+    (if(i >0) evalMono(i-1, in, out) else true)
+  }
+
+  def invoke(i: BigInt): Result = {
+    require(depsEval(i))
+    invokeMul(i) match {
+      case _ => pAdd(i)
+    }
+  } ensuring{ res =>
+    val in = inState[Result]
+    val out = outState[Result]
     (if(i >0) evalMono(i-1, in, out) else true) &&
     allEval(i) &&
-    time <= 200
-  })
+    time <= 189
+  }
 
   /**
    * Parsing a string of length 'n+1'.
@@ -166,11 +192,12 @@ object PackratParsing {
    */
   def parse(n: BigInt): Result = {
     require(n >= 0)
-    if(n == 0) invoke(n)._3
+    if(n == 0) invoke(n)
     else {
-      val tailres = parse(n-1) // we parse the prefixes ending at 0, 1, 2, 3, ..., n
-      invoke(n)._3
+      parse(n-1) match { // we parse the prefixes ending at 0, 1, 2, 3, ..., n
+        case _ => invoke(n)
+      }
     }
   } ensuring(_ => allEval(n) &&
-      time <= 250*n + 250)
+      time <= 198*n + 192)
 }
diff --git a/testcases/lazy-datastructures/memoization/WeightedScheduling.scala b/testcases/lazy-datastructures/memoization/WeightedScheduling.scala
index cf2fa7508..e640bd79e 100644
--- a/testcases/lazy-datastructures/memoization/WeightedScheduling.scala
+++ b/testcases/lazy-datastructures/memoization/WeightedScheduling.scala
@@ -1,5 +1,5 @@
-import leon.lazyeval._
-import leon.lazyeval.Mem._
+import leon._
+import leon.mem._
 import leon.lang._
 import leon.annotation._
 import leon.instrumentation._
@@ -69,7 +69,7 @@ object WeightedSched {
   @memoize
   def sched(jobIndex: BigInt): BigInt = {
     require(depsEval(jobIndex) &&
-        (jobIndex == 0 || prevCompatibleJob(jobIndex) >= 0)) //evalLem(prevCompatibleJob(jobIndex), jobIndex-1)))
+        (jobIndex == 0 || evalLem(prevCompatibleJob(jobIndex), jobIndex-1)))
     val (st, fn, w) = jobInfo(jobIndex)
     if(jobIndex == 0) w
     else {
@@ -85,8 +85,8 @@ object WeightedSched {
     require(depsEval(jobIndex))
     sched(jobIndex)
   } ensuring (res => {
-    val in = Mem.inState[BigInt]
-    val out = Mem.outState[BigInt]
+    val in = inState[BigInt]
+    val out = outState[BigInt]
     (jobIndex == 0 || evalMono(jobIndex-1, in, out)) &&
       time <= 150
   })
diff --git a/testcases/lazy-datastructures/project/Build.scala b/testcases/lazy-datastructures/project/Build.scala
new file mode 100644
index 000000000..4d96b683b
--- /dev/null
+++ b/testcases/lazy-datastructures/project/Build.scala
@@ -0,0 +1,21 @@
+import sbt._
+import Keys._
+
+object BuildSettings {
+  val paradiseVersion = "2.1.0-M5"
+  val buildSettings = Defaults.defaultSettings ++ Seq(
+    resolvers += Resolver.sonatypeRepo("snapshots"),
+    resolvers += Resolver.sonatypeRepo("releases"),
+    addCompilerPlugin("org.scalamacros" % "paradise" % paradiseVersion cross CrossVersion.full)    
+  )
+}
+
+object MyBuild extends Build {
+  import BuildSettings._
+
+  lazy val root = Project(
+    "root",
+    file("."),
+    settings = buildSettings
+  ) 
+}
diff --git a/testcases/lazy-datastructures/withOrb/BottomUpMegeSort.scala b/testcases/lazy-datastructures/withOrb/BottomUpMegeSort.scala
index 10a0047cf..71179a087 100644
--- a/testcases/lazy-datastructures/withOrb/BottomUpMegeSort.scala
+++ b/testcases/lazy-datastructures/withOrb/BottomUpMegeSort.scala
@@ -1,11 +1,12 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lazyeval.$._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
+import stats._
 
 /**
  * TODO Multiple instantiations of type parameters is not supported yet,
@@ -43,10 +44,10 @@ object BottomUpMergeSort {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons(x: BigInt, tail: $[IStream]) extends IStream
+  case class SCons(x: BigInt, tail: Lazy[IStream]) extends IStream
   case class SNil() extends IStream
   @inline
-  def ssize(l: $[IStream]): BigInt = (l*).size
+  def ssize(l: Lazy[IStream]): BigInt = (l*).size
 
   /**
    * A list of suspensions
@@ -73,7 +74,7 @@ object BottomUpMergeSort {
       }
     } ensuring (_ >= 0)
   }
-  case class LCons(x: $[IStream], tail: LList) extends LList
+  case class LCons(x: Lazy[IStream], tail: LList) extends LList
   case class LNil() extends LList
 
   /**
@@ -109,14 +110,15 @@ object BottomUpMergeSort {
       case _ =>
         constructMergeTree(pairs(l))
     }
-  } ensuring (res => res.size <= 1 && res.fullSize == l.fullSize &&
+  } ensuring {res =>
+    res.size <= 1 && res.fullSize == l.fullSize &&
     (res match {
       case LCons(il, LNil()) =>
         res.fullSize == ssize(il) // this is implied by the previous conditions
       case _ => true
     }) &&
     res.valid &&
-    time <= ? * l.size + ?)
+    time <= ? * l.size + ?}
 
   /**
    *  A function that merges two sorted streams of integers.
@@ -125,7 +127,7 @@ object BottomUpMergeSort {
    */
   @invisibleBody
   @usePost
-  def merge(a: $[IStream], b: $[IStream]): IStream = {
+  def merge(a: Lazy[IStream], b: Lazy[IStream]): IStream = {
     require(((a*) != SNil() || b.isEvaluated) && // if one of the arguments is Nil then the other is evaluated
         ((b*) != SNil() || a.isEvaluated) &&
         ((a*) != SNil() || (b*) != SNil())) // at least one of the arguments is not Nil
@@ -142,22 +144,27 @@ object BottomUpMergeSort {
         }
     }
   } ensuring (res => ssize(a) + ssize(b) == res.size &&
-       time <= ? * res.size + ?) // note: res.size >= 1 // here stack is max of a and b
+       //time <= ? * res.size + ?) // note: res.size >= 1 // here stack is max of a and b
+      time <= 67 * res.size - 47) // Orb cannot infer this due to issues with CVC4 set solving !
 
   /**
    * Converts a list of integers to a list of streams of integers
    */
+  val nilStream: IStream = SNil()
+
   @invisibleBody
   def IListToLList(l: IList): LList = {
     l match {
       case INil() => LNil()
       case ICons(x, xs) =>
-        LCons(SCons(x, SNil()), IListToLList(xs))
+        LCons(SCons(x, nilStream), IListToLList(xs))
     }
-  } ensuring (res => res.fullSize == l.size &&
-    res.size == l.size &&
-    res.valid &&
-    time <= ? * l.size + ?)
+  } ensuring { res =>
+    res.fullSize == l.size &&
+      res.size == l.size &&
+      res.valid &&
+      time <= ? * l.size + ?
+  }
 
   /**
    * Takes list of integers and returns a sorted stream of integers.
@@ -182,4 +189,50 @@ object BottomUpMergeSort {
       case SCons(x, rest) => x
     }
   } ensuring (res => time <= ? * l.size + ?)
+
+  def kthMin(l: IStream, k: BigInt): BigInt = {
+    require(k >= 0)
+    l match {
+      case SCons(x, xs) =>
+        if (k == 0) x
+        else
+          kthMin(xs.value, k - 1)
+      case SNil() => BigInt(0)
+    }
+  } //ensuring (_ => time <= ? * (k * ssize(l)) + ? * k + ?)
+
+  @ignore
+  def main(args: Array[String]) {
+    //import eagerEval.MergeSort
+    import scala.util.Random
+    import scala.math.BigInt
+    import stats._
+    import collection._
+
+    println("Running merge sort test...")
+    val length = 3000000
+    val maxIndexValue = 100
+    val randomList = Random.shuffle((0 until length).toList)
+    val l1 = randomList.foldRight(List[BigInt]()){
+      case (i, acc) => BigInt(i) :: acc
+    }
+    val l2 = randomList.foldRight(INil(): IList){
+      case (i, acc) => ICons(BigInt(i), acc)
+    }
+    println(s"Created inputs of size (${l1.size},${l2.size}), starting operations...")
+    val sort2 = timed{ mergeSort(l2) }{t => println(s"Lazy merge sort completed in ${t/1000.0} sec") }
+    //val sort1 = timed{ MergeSort.msort((x: BigInt, y: BigInt) => x <= y)(l1) } {t => println(s"Eager merge sort completed in ${t/1000.0} sec") }
+    // sample 10 elements from a space of [0-100]
+    val rand = Random
+    var totalTime1 = 0L
+    var totalTime2 = 0L
+    for(i <- 0 until 10) {
+      val idx = rand.nextInt(maxIndexValue)
+      //val e1 = timed { sort1(idx) } { totalTime1 +=_ }
+      val e2 = timed { kthMin(sort2, idx) }{ totalTime2 += _ }
+      //println(s"Element at index $idx - Eager: $e1 Lazy: $e2")
+      //assert(e1 == e2)
+    }
+    println(s"Time-taken to pick first 10 minimum elements - Eager: ${totalTime1/1000.0}s Lazy: ${totalTime2/1000.0}s")
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/Concat.scala b/testcases/lazy-datastructures/withOrb/Concat.scala
index bd4978f6a..b9653b522 100644
--- a/testcases/lazy-datastructures/withOrb/Concat.scala
+++ b/testcases/lazy-datastructures/withOrb/Concat.scala
@@ -1,11 +1,13 @@
 package withOrb
 
-import leon.lazyeval._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.collection._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lazyeval.Lazy._
+import lang._
+import annotation._
+import instrumentation._
+import collection._
+import invariant._
 
 object Concat {
   sealed abstract class LList[T] {
@@ -16,30 +18,60 @@ object Concat {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons[T](x: T, tail: $[LList[T]]) extends LList[T]
+  case class SCons[T](x: T, tail: Lazy[LList[T]]) extends LList[T]
   case class SNil[T]() extends LList[T]
-  def ssize[T](l: $[LList[T]]): BigInt = (l*).size
+  def ssize[T](l: Lazy[LList[T]]): BigInt = (l*).size
 
-  def concat[T](l1: List[T], l2: List[T]) : LList[T] = {
+  def concat[T](l1: List[T], l2: List[T]): LList[T] = {
     l1 match {
       case Cons(x, xs) => SCons(x, $(concat(xs, l2)))
-      case Nil() => SNil[T]()
+      case Nil()       => SNil[T]()
     }
-  } ensuring(_ => time <= ?)
+  } ensuring { _ => time <= ? }
 
-  def kthElem[T](l: $[LList[T]], k: BigInt): Option[T] = {
-    require(k >= 1)
+  def kthElem[T](l: Lazy[LList[T]], k: BigInt): Option[T] = {
+    require(k >= 0)
     l.value match {
       case SCons(x, xs) =>
-        if (k == 1) Some(x)
+        if (k == 0) Some(x)
         else
           kthElem(xs, k - 1)
       case SNil() => None[T]
     }
-  } ensuring (_ => time <= ? * k)
+  } ensuring (_ => time <= ? * k + ?)
 
-  def concatnSelect[T](l1: List[T], l2: List[T], k: BigInt) : Option[T] = {
-    require(k >= 1)
+  def concatnSelect[T](l1: List[T], l2: List[T], k: BigInt): Option[T] = {
+    require(k >= 0)
     kthElem($(concat(l1, l2)), k)
-  } ensuring (_ => time <= ? * k)
+  } ensuring (_ => time <= ? * k + ?)
+
+  @ignore
+  def main(args: Array[String]) = {
+    import stats._
+    println("Running concat test...")
+    val length = 1000000
+    val k = 10
+    val iterCount = 10
+    val l1 = (0 until length).foldRight(List[BigInt]()) {
+      case (i, acc) => i :: acc
+    }
+    val l2 = (0 until length).foldRight(List[BigInt]()) {
+      case (i, acc) => 2 * i :: acc
+    }
+    println("Created inputs, starting operations...")
+    def iterate[T](op: => BigInt) = {
+      var res = BigInt(0)
+      var i = iterCount
+      while (i > 0) {
+        res = op
+        i -= 1
+      }
+      res
+    }
+    val elem1 = timed { iterate((l1 ++ l2)(k)) } { t => println(s"Eager Concat completed in ${t / 1000.0} sec") }
+    println(s"$k th element of concatenated list: $elem1")
+    val elem2 = timed { iterate(concatnSelect(l1, l2, k).get) } { t => println(s"Lazy ConcatnSelect completed in ${t / 1000.0} sec") }
+    println(s"$k th element of concatenated list: $elem2")
+    assert(elem1 == elem2)
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/Deque.scala b/testcases/lazy-datastructures/withOrb/Deque.scala
index 6493eb8c8..38daf0144 100644
--- a/testcases/lazy-datastructures/withOrb/Deque.scala
+++ b/testcases/lazy-datastructures/withOrb/Deque.scala
@@ -1,13 +1,13 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lazyeval.$._
-import leon.lang._
-import leon.annotation._
-import leon.collection._
-import leon.instrumentation._
-import leon.math._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import collection._
+import instrumentation._
+import math._
+import invariant._
 
 /**
  * A constant time deque based on Okasaki's implementation: Fig.8.4 Pg. 112.
@@ -43,13 +43,13 @@ object RealTimeDeque {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons[T](x: T, tail: $[Stream[T]]) extends Stream[T]
+  case class SCons[T](x: T, tail: Lazy[Stream[T]]) extends Stream[T]
   case class SNil[T]() extends Stream[T]
 
   @inline
-  def ssize[T](l: $[Stream[T]]): BigInt = (l*).size
+  def ssize[T](l: Lazy[Stream[T]]): BigInt = (l*).size
 
-  def isConcrete[T](l: $[Stream[T]]): Boolean = {
+  def isConcrete[T](l: Lazy[Stream[T]]): Boolean = {
     l.isEvaluated && (l* match {
       case SCons(_, tail) =>
         isConcrete(tail)
@@ -58,12 +58,25 @@ object RealTimeDeque {
   }
 
   @invstate
-  def revAppend[T](l1: $[Stream[T]], l2: $[Stream[T]]): $[Stream[T]] = {
+  def takeLazy[T](n: BigInt, l: Lazy[Stream[T]]): Stream[T] = {
+    require(isConcrete(l) && n >= 1 && ssize(l) >= n)
+    l.value match {
+      case SCons(x, tail) =>
+        if (n == 1)
+          SCons[T](x, SNil[T]())
+        else
+          SCons[T](x, $(takeLazy(n - 1, tail)))
+    }
+  } ensuring(res => res.size == n && res.isCons &&
+      time <= ?)
+
+  @invstate
+  def revAppend[T](l1: Lazy[Stream[T]], l2: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     require(isConcrete(l1) && isConcrete(l2))
     l1.value match {
       case SNil() => l2
       case SCons(x, tail) =>
-        val nt: $[Stream[T]] = SCons[T](x, l2)
+        val nt: Lazy[Stream[T]] = SCons[T](x, l2)
         revAppend(tail, nt)
     }
   } ensuring(res => ssize(res) == ssize(l1) + ssize(l2) &&
@@ -72,7 +85,7 @@ object RealTimeDeque {
       time <= ? * ssize(l1) + ?)
 
   @invstate
-  def drop[T](n: BigInt, l: $[Stream[T]]): $[Stream[T]] = {
+  def drop[T](n: BigInt, l: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     require(n >= 0 && isConcrete(l) && ssize(l) >= n)
     if (n == 0) {
       l
@@ -87,9 +100,9 @@ object RealTimeDeque {
       time <= ? * n + ?)
 
   @invstate
-  def take[T](n: BigInt, l: $[Stream[T]]): $[Stream[T]] = {
+  def take[T](n: BigInt, l: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     require(n >= 0 && isConcrete(l) && ssize(l) >= n)
-    val r: $[Stream[T]] =
+    val r: Lazy[Stream[T]] =
       if (n == 0) {
         SNil[T]()
       } else {
@@ -105,20 +118,7 @@ object RealTimeDeque {
       time <= ? * n + ?)
 
   @invstate
-  def takeLazy[T](n: BigInt, l: $[Stream[T]]): Stream[T] = {
-    require(isConcrete(l) && n >= 1 && ssize(l) >= n)
-    l.value match {
-      case SCons(x, tail) =>
-        if (n == 1)
-          SCons[T](x, SNil[T]())
-        else
-          SCons[T](x, $(takeLazy(n - 1, tail)))
-    }
-  } ensuring(res => res.size == n && res.isCons &&
-      time <= ?)
-
-  @invstate
-  def rotateRev[T](r: $[Stream[T]], f: $[Stream[T]], a: $[Stream[T]]): Stream[T] = {
+  def rotateRev[T](r: Lazy[Stream[T]], f: Lazy[Stream[T]], a: Lazy[Stream[T]]): Stream[T] = {
     require(isConcrete(r) && isConcrete(f) && isConcrete(a) &&
       {
         val lenf = ssize(f)
@@ -135,7 +135,7 @@ object RealTimeDeque {
       time <= ?)
 
   @invstate
-  def rotateDrop[T](r: $[Stream[T]], i: BigInt, f: $[Stream[T]]): Stream[T] = {
+  def rotateDrop[T](r: Lazy[Stream[T]], i: BigInt, f: Lazy[Stream[T]]): Stream[T] = {
     require(isConcrete(r) && isConcrete(f) && i >= 0 && {
       val lenf = ssize(f)
       val lenr = ssize(r)
@@ -144,7 +144,7 @@ object RealTimeDeque {
     })
     val rval = r.value
     if(i < 2 || rval == SNil[T]()) { // A bug in Okasaki implementation: we must check for: 'rval = SNil()'
-      val a: $[Stream[T]] = SNil[T]()
+      val a: Lazy[Stream[T]] = SNil[T]()
       rotateRev(r, drop(i, f), a)
     } else {
       rval match {
@@ -155,7 +155,7 @@ object RealTimeDeque {
   } ensuring(res => res.size == (r*).size + (f*).size - i &&
       res.isCons && time <= ?)
 
-  def firstUneval[T](l: $[Stream[T]]): $[Stream[T]] = {
+  def firstUneval[T](l: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     if (l.isEvaluated) {
       l* match {
         case SCons(_, tail) =>
@@ -172,8 +172,8 @@ object RealTimeDeque {
       case _ => true
     }))
 
-  case class Queue[T](f: $[Stream[T]], lenf: BigInt, sf: $[Stream[T]],
-      r: $[Stream[T]], lenr: BigInt, sr: $[Stream[T]]) {
+  case class Queue[T](f: Lazy[Stream[T]], lenf: BigInt, sf: Lazy[Stream[T]],
+      r: Lazy[Stream[T]], lenr: BigInt, sr: Lazy[Stream[T]]) {
     def isEmpty = lenf + lenr == 0
     def valid = {
       (firstUneval(f) == firstUneval(sf)) &&
@@ -192,8 +192,8 @@ object RealTimeDeque {
    * the balance invariant, and restores the balance.
    */
   @invisibleBody
-  def createQueue[T](f: $[Stream[T]], lenf: BigInt, sf: $[Stream[T]],
-      r: $[Stream[T]], lenr: BigInt, sr: $[Stream[T]]): Queue[T] = {
+  def createQueue[T](f: Lazy[Stream[T]], lenf: BigInt, sf: Lazy[Stream[T]],
+      r: Lazy[Stream[T]], lenr: BigInt, sr: Lazy[Stream[T]]): Queue[T] = {
     require(firstUneval(f) == firstUneval(sf) &&
         firstUneval(r) == firstUneval(sr) &&
         (lenf == ssize(f) && lenr == ssize(r)) &&
@@ -220,15 +220,14 @@ object RealTimeDeque {
   } ensuring(res => res.valid &&
       time <= ?)
 
-  
   @invisibleBody
-  def funeEqual[T](s1: $[Stream[T]], s2: $[Stream[T]]) = firstUneval(s1) == firstUneval(s2)
-  
+  def funeEqual[T](s1: Lazy[Stream[T]], s2: Lazy[Stream[T]]) = firstUneval(s1) == firstUneval(s2)
+
   /**
    * Forces the schedules, and ensures that `firstUneval` equality is preserved
    */
   @invisibleBody
-  def force[T](tar: $[Stream[T]], htar: $[Stream[T]], other: $[Stream[T]], hother: $[Stream[T]]): $[Stream[T]] = {
+  def force[T](tar: Lazy[Stream[T]], htar: Lazy[Stream[T]], other: Lazy[Stream[T]], hother: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     require(funeEqual(tar, htar) && funeEqual(other, hother))
     tar.value match {
       case SCons(_, tail) => tail
@@ -236,8 +235,8 @@ object RealTimeDeque {
     }
   } ensuring (res => {
     //lemma instantiations
-    val in = $.inState[Stream[T]]
-    val out = $.outState[Stream[T]]
+    val in = inState[Stream[T]]
+    val out = outState[Stream[T]]
     funeMonotone(tar, htar, in, out) &&
       funeMonotone(other, hother, in, out) && {
       //properties
@@ -252,12 +251,12 @@ object RealTimeDeque {
    * Forces the schedules in the queue twice and ensures the `firstUneval` property.
    */
   @invisibleBody
-  def forceTwice[T](q: Queue[T]): ($[Stream[T]], $[Stream[T]]) = {
+  def forceTwice[T](q: Queue[T]): (Lazy[Stream[T]], Lazy[Stream[T]]) = {
     require(q.valid)
     val nsf = force(force(q.sf, q.f, q.r, q.sr), q.f, q.r, q.sr) // forces q.sf twice
     val nsr = force(force(q.sr, q.r, q.f, nsf), q.r, q.f, nsf) // forces q.sr twice
     (nsf, nsr)
-  } ensuring(time <= ?)
+  } ensuring(_ => time <= ?)
   // the following properties are ensured, but need not be stated
   /*ensuring (res => {
     val nsf = res._1
@@ -270,10 +269,18 @@ object RealTimeDeque {
   })*/
 
   def empty[T] = {
-    val nil: $[Stream[T]] = SNil[T]()
+    val nil: Lazy[Stream[T]] = SNil[T]()
     Queue(nil, 0, nil, nil, 0, nil)
   }
 
+  def head[T](q: Queue[T]): T = {
+    require(!q.isEmpty && q.valid)
+    (q.f.value, q.r.value) match {
+      case (SCons(x, _), _) => x
+      case (_, SCons(x, _)) => x
+    }
+  }
+
   /**
    * Adding an element to the front of the list
    */
@@ -317,14 +324,19 @@ object RealTimeDeque {
   def reverse[T](q: Queue[T]): Queue[T] = {
     require(q.valid)
     Queue(q.r, q.lenr, q.sr, q.f, q.lenf, q.sf)
-  } ensuring(q.valid && time <= ?)
+  } ensuring(_ => q.valid && time <= ?)
+
+  def snoc[T](x: T, q: Queue[T]): Queue[T] = {
+    require(q.valid)
+    reverse(cons(x, reverse(q)))
+  }
 
    // Properties of `firstUneval`. We use `fune` as a shorthand for `firstUneval`
   /**
    * st1.subsetOf(st2) ==> fune(l, st2) == fune(fune(l, st1), st2)
    */
   @traceInduct
-  def funeCompose[T](l1: $[Stream[T]], st1: Set[$[Stream[T]]], st2: Set[$[Stream[T]]]): Boolean = {
+  def funeCompose[T](l1: Lazy[Stream[T]], st1: Set[Lazy[Stream[T]]], st2: Set[Lazy[Stream[T]]]): Boolean = {
     require(st1.subsetOf(st2))
     // property
     (firstUneval(l1) withState st2) == (firstUneval(firstUneval(l1) withState st1) withState st2)
@@ -336,7 +348,7 @@ object RealTimeDeque {
    * This is a kind of frame axiom for `fune` but is slightly different in that
    * it doesn't require (st2 \ st1) to be disjoint from la and lb.
    */
-  def funeMonotone[T](l1: $[Stream[T]], l2: $[Stream[T]], st1: Set[$[Stream[T]]], st2: Set[$[Stream[T]]]): Boolean = {
+  def funeMonotone[T](l1: Lazy[Stream[T]], l2: Lazy[Stream[T]], st1: Set[Lazy[Stream[T]]], st2: Set[Lazy[Stream[T]]]): Boolean = {
     require((firstUneval(l1) withState st1) == (firstUneval(l2) withState st1) &&
         st1.subsetOf(st2))
      funeCompose(l1, st1, st2) && // lemma instantiations
@@ -351,4 +363,49 @@ object RealTimeDeque {
     } else true) &&
       (firstUneval(l1) withState st2) == (firstUneval(l2) withState st2) // property
   } holds
+
+  @ignore
+  def main(args: Array[String]) {
+    //import eagerEval.AmortizedQueue
+    import scala.util.Random
+    import scala.math.BigInt
+    import stats._
+    import collection._
+
+    println("Running Deque test...")
+    val ops = 2000000
+    val rand = Random
+    // initialize to a queue with one element (required to satisfy preconditions of dequeue and front)
+    var rtd = empty[BigInt]
+    //var amq = AmortizedQueue.Queue(AmortizedQueue.Nil(), AmortizedQueue.Nil())
+    var totalTime1 = 0L
+    var totalTime2 = 0L
+    println(s"Testing amortized emphemeral behavior on $ops operations...")
+    for (i <- 0 until ops) {
+      if (!rtd.isEmpty) {
+        val h1 = head(rtd)
+        //val h2 = amq.head
+        //assert(h1 == h2, s"Eager head: $h2 Lazy head: $h1")
+      }
+      rand.nextInt(3) match {
+        case x if x == 0 => //add to rear
+          //println("Enqueue..")
+          rtd = timed { snoc(BigInt(i), rtd) } { totalTime1 += _ }
+          //amq = timed { amq.enqueue(BigInt(i)) } { totalTime2 += _ }
+        case x if x == 1 => // remove from front
+          if (!rtd.isEmpty) {
+            //if(i%100000 == 0)
+            //println("Dequeue..")
+            rtd = timed { tail(rtd) } { totalTime1 += _ }
+            //amq = timed { amq.dequeue } { totalTime2 += _ }
+          }
+        case x if x == 2 => // reverse
+          //if(i%100000 == 0)
+          //println("reverse..")
+          rtd = timed { reverse(rtd) } { totalTime1 += _ }
+          //amq = timed { amq.reverse } { totalTime2 += _ }
+      }
+    }
+    println(s"Ephemeral Amortized Time - Eager: ${totalTime2/1000.0}s Lazy: ${totalTime1/1000.0}s")
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/Esop15Benchmarks.scala b/testcases/lazy-datastructures/withOrb/Esop15Benchmarks.scala
index ee381e608..45d520dcf 100644
--- a/testcases/lazy-datastructures/withOrb/Esop15Benchmarks.scala
+++ b/testcases/lazy-datastructures/withOrb/Esop15Benchmarks.scala
@@ -1,12 +1,12 @@
-package lazybenchmarks
+package withorb
 
-import leon.lazyeval._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.lazyeval.$._
-import leon.collection._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import instrumentation._
+import collection._
+import invariant._
 
 /**
  * This file is the collection of programs in the ESOP 2015 paper.
@@ -15,14 +15,14 @@ import leon.invariant._
  */
 object Esop15Benchmarks {
   sealed abstract class IStream
-  case class SCons(x: BigInt, tail: $[IStream]) extends IStream
+  case class SCons(x: BigInt, tail: Lazy[IStream]) extends IStream
   case class SNil() extends IStream
 
   sealed abstract class StreamPairs
-  case class PCons(pair: (BigInt, BigInt), tail: $[StreamPairs]) extends StreamPairs
+  case class PCons(pair: (BigInt, BigInt), tail: Lazy[StreamPairs]) extends StreamPairs
   case class PNil() extends StreamPairs
 
-  def zipWith(xs: $[IStream], ys: $[IStream]): StreamPairs = {
+  def zipWith(xs: Lazy[IStream], ys: Lazy[IStream]): StreamPairs = {
     (xs.value, ys.value) match {
       case (SCons(x, xtail), SCons(y, ytail)) =>
         PCons((x, y), $(zipWith(xtail, ytail)))
@@ -44,7 +44,7 @@ object Esop15Benchmarks {
     SCons(0, SCons(1, $(nextFib(0, 1, n))))
   }
 
-  def nthFib(n: BigInt, fs: $[IStream]): BigInt = {
+  def nthFib(n: BigInt, fs: Lazy[IStream]): BigInt = {
     require(n >= 0)
     fs.value match {
       case SCons(x, tail) =>
diff --git a/testcases/lazy-datastructures/withOrb/FibonacciMemoized.scala b/testcases/lazy-datastructures/withOrb/FibonacciMemoized.scala
index 89ce222e4..db9db0421 100644
--- a/testcases/lazy-datastructures/withOrb/FibonacciMemoized.scala
+++ b/testcases/lazy-datastructures/withOrb/FibonacciMemoized.scala
@@ -1,11 +1,12 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
+import Mem._
 
 object FibMem {
   sealed abstract class IList
@@ -15,11 +16,16 @@ object FibMem {
   @memoize
   def fibRec(n: BigInt): BigInt = {
     require(n >= 0)
-        if(n <= 2)
-          BigInt(1)
-        else
-          fibRec(n-1) + fibRec(n-2) // postcondition implies that the second call would be cached
-  } ensuring(_ =>
-    (n <= 2 || (fibRec(n-1).isCached &&
-        fibRec(n-2).isCached))  && time <= ? * n + ?)
+    if (n <= 2)
+      BigInt(1)
+    else
+      fibRec(n - 1) + fibRec(n - 2) // postcondition implies that the second call would be cached
+  } ensuring (_ =>
+    (n <= 2 || (fibRec(n - 1).isCached &&
+      fibRec(n - 2).isCached)) && time <= ? * n + ?)
+
+  @ignore
+  def main(args: Array[String]) {
+    println("32nd fibonnacci number: " + fibRec(50))
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/HammingMemoized.scala b/testcases/lazy-datastructures/withOrb/HammingMemoized.scala
index 4b214ed90..65192934b 100644
--- a/testcases/lazy-datastructures/withOrb/HammingMemoized.scala
+++ b/testcases/lazy-datastructures/withOrb/HammingMemoized.scala
@@ -1,11 +1,11 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 /**
  * A memoized version of the implementation of Hamming problem shown in
@@ -13,8 +13,17 @@ import leon.invariant._
  */
 object Hamming {
   sealed abstract class IList
-  case class Cons(x: BigInt, tail: IList) extends IList
-  case class Nil() extends IList
+  case class Cons(x: BigInt, tail: IList) extends IList {
+    @ignore
+    override def toString: String = {
+      if(tail == Nil()) x.toString
+      else x.toString + "," + tail.toString
+    }
+  }
+  case class Nil() extends IList {
+    @ignore
+    override def toString = ""
+  }
 
   case class Data(v: BigInt, i2: BigInt, i3: BigInt, i5: BigInt)
 
@@ -25,9 +34,9 @@ object Hamming {
     if(n == BigInt(0)) Data(1, 0, 0, 0)
     else {
       val Data(x, i2, i3, i5) = ham(n-1)
-      val a = ham(i2).i2 * 2
-      val b = ham(i3).i3 * 3
-      val c = ham(i5).i5 * 5
+      val a = ham(i2).v * 2
+      val b = ham(i3).v * 3
+      val c = ham(i5).v * 5
       val (v, ni, nj, nk) = threeWayMerge(a, b, c, i2, i3, i5)
       Data(v, ni, nj, nk)
     }
@@ -57,8 +66,8 @@ object Hamming {
     require(n == 0 || n > 0 && depsEval(n - 1))
     ham(n).v
   } ensuring (res => {
-    val in = Mem.inState[Data]
-    val out = Mem.outState[Data]
+    val in = inState[Data]
+    val out =outState[Data]
     (n == 0 || depsEvalMono(n-1, in, out)) && // instantiation
       time <= ?
   })
@@ -86,4 +95,11 @@ object Hamming {
       else if(b < c && b < a)   (b, i2    , i3 + 1, i5    )
       else/*if(c < a && c < b)*/(c, i2    , i3    , i5 + 1)
    }
+
+  @ignore
+  def main(args: Array[String]) {
+    import collection._
+    val hlist = hammingList(100) // without memoization this will take too long
+    println("Hamming numbers: "+hlist)
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/Knapsack.scala b/testcases/lazy-datastructures/withOrb/Knapsack.scala
index e1645b545..8eb64d369 100644
--- a/testcases/lazy-datastructures/withOrb/Knapsack.scala
+++ b/testcases/lazy-datastructures/withOrb/Knapsack.scala
@@ -1,11 +1,11 @@
-package orb
+package wihtOrb
 
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 object Knapscak {
   sealed abstract class IList {
@@ -16,8 +16,17 @@ object Knapscak {
       }
     } ensuring(_ >= 0)
   }
-  case class Cons(x: (BigInt, BigInt), tail: IList) extends IList // a list of pairs of weights and values
-  case class Nil() extends IList
+  case class Cons(x: (BigInt, BigInt), tail: IList) extends IList { // a list of pairs of weights and values
+    @ignore
+    override def toString: String = {
+      if(tail == Nil()) x.toString
+      else x.toString + "," + tail.toString
+    }
+  }
+  case class Nil() extends IList {
+    @ignore
+    override def toString = ""
+  }
 
   def deps(i: BigInt, items: IList): Boolean = {
     require(i >= 0)
@@ -78,7 +87,7 @@ object Knapscak {
     else {
       Cons((i,ri), bottomup(i + 1, w, items))
     }
-  } ensuring(items.size <= 10 ==> time <= ? * (w - i + 1))
+  } ensuring(_ => items.size <= 10 ==> time <= ? * (w - i + 1))
 
   /**
    * Computes the list of optimal solutions of all weights up to 'w'
@@ -86,7 +95,7 @@ object Knapscak {
   def knapSackSol(w: BigInt, items: IList) = {
     require(w >= 0 && items.size <= 10) //  the second requirement is only to keep the bounds linear for z3 to work
     bottomup(0, w, items)
-  } ensuring(time <= ? * w + ?)
+  } ensuring(_ => time <= ? * w + ?)
 
   /**
    * Lemmas of deps
@@ -104,4 +113,20 @@ object Knapscak {
     require(x >= 0 && y >= 0)
     (x <= y && deps(y, items)) ==> deps(x, items)
   } holds
+
+  @ignore
+  def main(args: Array[String]) {
+    import scala.util.Random
+    // pick some random weights and values
+    val weightsnValues1 = (1 to 10).foldRight(Nil(): IList){
+      case (i, acc) => Cons((i, i), acc)
+    }
+    val reslist1 = knapSackSol(100, weightsnValues1) // without memoization this will take too long
+    println("Optimal solutions: "+reslist1.toString)
+    val weightsnValues2 = ((1 to 10) zip (10 to 1 by -1)).foldRight(Nil(): IList){
+      case ((i, j), acc) => Cons((i, j), acc)
+    }
+    val reslist2 = knapSackSol(100, weightsnValues2)
+    println("Optimal solutions for set 2: "+reslist2.toString)
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/LazyNumericalRep.scala b/testcases/lazy-datastructures/withOrb/LazyNumericalRep.scala
index 47a42bfa1..b3c5a205f 100644
--- a/testcases/lazy-datastructures/withOrb/LazyNumericalRep.scala
+++ b/testcases/lazy-datastructures/withOrb/LazyNumericalRep.scala
@@ -1,16 +1,22 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.lazyeval.$._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 object DigitObject {
   sealed abstract class Digit
-  case class Zero() extends Digit
-  case class One() extends Digit
+  case class Zero() extends Digit {
+    @ignore
+    override def toString = "0"
+  }
+  case class One() extends Digit {
+    @ignore
+    override def toString = "1"
+  }
 }
 
 import DigitObject._
@@ -19,13 +25,13 @@ object LazyNumericalRep {
   sealed abstract class NumStream {
     val isSpine: Boolean = this match {
       case Spine(_, _, _) => true
-      case _ => false
+      case _              => false
     }
     val isTip = !isSpine
   }
 
   case class Tip() extends NumStream
-  case class Spine(head: Digit, createdWithSuspension: Bool, rear: $[NumStream]) extends NumStream
+  case class Spine(head: Digit, createdWithSuspension: Bool, rear: Lazy[NumStream]) extends NumStream
 
   sealed abstract class Bool
   case class True() extends Bool
@@ -34,7 +40,7 @@ object LazyNumericalRep {
   /**
    * Checks whether there is a zero before an unevaluated closure
    */
-  def zeroPrecedeLazy[T](q: $[NumStream]): Boolean = {
+  def zeroPrecedeLazy[T](q: Lazy[NumStream]): Boolean = {
     if (q.isEvaluated) {
       q* match {
         case Spine(Zero(), _, rear) =>
@@ -49,7 +55,7 @@ object LazyNumericalRep {
   /**
    * Checks whether there is a zero before a given suffix
    */
-  def zeroPrecedeSuf[T](q: $[NumStream], suf: $[NumStream]): Boolean = {
+  def zeroPrecedeSuf[T](q: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     if (q != suf) {
       q* match {
         case Spine(Zero(), _, rear) => true
@@ -64,7 +70,7 @@ object LazyNumericalRep {
    * Everything until suf is evaluated. This
    * also asserts that suf should be a suffix of the list
    */
-  def concreteUntil[T](l: $[NumStream], suf: $[NumStream]): Boolean = {
+  def concreteUntil[T](l: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     if (l != suf) {
       l.isEvaluated && (l* match {
         case Spine(_, cws, tail) =>
@@ -75,7 +81,7 @@ object LazyNumericalRep {
     } else true
   }
 
-  def isConcrete[T](l: $[NumStream]): Boolean = {
+  def isConcrete[T](l: Lazy[NumStream]): Boolean = {
     l.isEvaluated && (l* match {
       case Spine(_, _, tail) =>
         isConcrete(tail)
@@ -84,10 +90,10 @@ object LazyNumericalRep {
   }
 
   sealed abstract class Scheds
-  case class Cons(h: $[NumStream], tail: Scheds) extends Scheds
+  case class Cons(h: Lazy[NumStream], tail: Scheds) extends Scheds
   case class Nil() extends Scheds
 
-  def schedulesProperty[T](q: $[NumStream], schs: Scheds): Boolean = {
+  def schedulesProperty[T](q: Lazy[NumStream], schs: Scheds): Boolean = {
     schs match {
       case Cons(head, tail) =>
         head* match {
@@ -104,7 +110,7 @@ object LazyNumericalRep {
   }
 
   @invisibleBody
-  def strongSchedsProp[T](q: $[NumStream], schs: Scheds) = {
+  def strongSchedsProp[T](q: Lazy[NumStream], schs: Scheds) = {
     q.isEvaluated && {
       schs match {
         case Cons(head, tail) =>
@@ -119,7 +125,7 @@ object LazyNumericalRep {
    * Note: if 'q' has a suspension then it would have a carry.
    */
   @invisibleBody
-  def pushUntilCarry[T](q: $[NumStream]): $[NumStream] = {
+  def pushUntilCarry[T](q: Lazy[NumStream]): Lazy[NumStream] = {
     q* match {
       case Spine(Zero(), _, rear) => // if we push a carry and get back 0 then there is a new carry
         pushUntilCarry(rear)
@@ -130,12 +136,16 @@ object LazyNumericalRep {
     }
   }
 
-  case class Number(digs: $[NumStream], schedule: Scheds) {
-    val valid = strongSchedsProp(digs, schedule)
+  case class Number(digs: Lazy[NumStream], schedule: Scheds) {
+    def isEmpty = digs.value.isTip
+
+    def valid = strongSchedsProp(digs, schedule)
   }
 
+  def emptyNum = Number(Tip(), Nil())
+
   @invisibleBody
-  def inc(xs: $[NumStream]): NumStream = {
+  def inc(xs: Lazy[NumStream]): NumStream = {
     require(zeroPrecedeLazy(xs))
     xs.value match {
       case Tip() =>
@@ -149,11 +159,11 @@ object LazyNumericalRep {
 
   @invisibleBody
   @invstate
-  def incLazy(xs: $[NumStream]): NumStream = {
+  def incLazy(xs: Lazy[NumStream]): NumStream = {
     require(zeroPrecedeLazy(xs) &&
       (xs* match {
         case Spine(h, _, _) => h != Zero() // xs doesn't start with a zero
-        case _ => false
+        case _              => false
       }))
     xs.value match {
       case Spine(head, _, rear) => // here, rear is guaranteed to be evaluated by 'zeroPrecedeLazy' invariant
@@ -191,11 +201,11 @@ object LazyNumericalRep {
    */
   @invisibleBody
   @invstate
-  def incLazyLemma[T](xs: $[NumStream], suf: $[NumStream]): Boolean = {
+  def incLazyLemma[T](xs: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     require(zeroPrecedeSuf(xs, suf) &&
       (xs* match {
         case Spine(h, _, _) => h != Zero()
-        case _ => false
+        case _              => false
       }) &&
       (suf* match {
         case Spine(Zero(), _, _) =>
@@ -243,7 +253,7 @@ object LazyNumericalRep {
       case _ =>
         w.schedule
     }
-    val lq: $[NumStream] = nq
+    val lq: Lazy[NumStream] = nq
     (lq, nsched)
   } ensuring { res =>
     // lemma instantiations
@@ -263,7 +273,7 @@ object LazyNumericalRep {
   }
 
   @invisibleBody
-  def Pay[T](q: $[NumStream], scheds: Scheds): Scheds = {
+  def Pay[T](q: Lazy[NumStream], scheds: Scheds): Scheds = {
     require(schedulesProperty(q, scheds) && q.isEvaluated)
     scheds match {
       case c @ Cons(head, rest) =>
@@ -331,8 +341,15 @@ object LazyNumericalRep {
 
   } ensuring { res => res.valid && time <= ? }
 
+  def firstDigit(w: Number): Digit = {
+    require(!w.isEmpty)
+    w.digs.value match {
+      case Spine(d, _, _) => d
+    }
+  }
+
   // monotonicity lemmas
-  def schedMonotone[T](st1: Set[$[NumStream]], st2: Set[$[NumStream]], scheds: Scheds, l: $[NumStream]): Boolean = {
+  def schedMonotone[T](st1: Set[Lazy[NumStream]], st2: Set[Lazy[NumStream]], scheds: Scheds, l: Lazy[NumStream]): Boolean = {
     require(st1.subsetOf(st2) &&
       (schedulesProperty(l, scheds) withState st1)) // here the input state is fixed as 'st1'
     //induction scheme
@@ -350,18 +367,18 @@ object LazyNumericalRep {
   } holds
 
   @traceInduct
-  def concreteMonotone[T](st1: Set[$[NumStream]], st2: Set[$[NumStream]], l: $[NumStream]): Boolean = {
+  def concreteMonotone[T](st1: Set[Lazy[NumStream]], st2: Set[Lazy[NumStream]], l: Lazy[NumStream]): Boolean = {
     ((isConcrete(l) withState st1) && st1.subsetOf(st2)) ==> (isConcrete(l) withState st2)
   } holds
 
   @traceInduct
-  def concUntilMonotone[T](q: $[NumStream], suf: $[NumStream], st1: Set[$[NumStream]], st2: Set[$[NumStream]]): Boolean = {
+  def concUntilMonotone[T](q: Lazy[NumStream], suf: Lazy[NumStream], st1: Set[Lazy[NumStream]], st2: Set[Lazy[NumStream]]): Boolean = {
     ((concreteUntil(q, suf) withState st1) && st1.subsetOf(st2)) ==> (concreteUntil(q, suf) withState st2)
   } holds
 
   // suffix predicates and  their properties (this should be generalizable)
 
-  def suffix[T](q: $[NumStream], suf: $[NumStream]): Boolean = {
+  def suffix[T](q: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     if (q == suf) true
     else {
       q* match {
@@ -372,7 +389,7 @@ object LazyNumericalRep {
     }
   }
 
-  def properSuffix[T](l: $[NumStream], suf: $[NumStream]): Boolean = {
+  def properSuffix[T](l: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     l* match {
       case Spine(_, _, rear) =>
         suffix(rear, suf)
@@ -384,7 +401,7 @@ object LazyNumericalRep {
    * suf(q, suf) ==> suf(q.rear, suf.rear)
    */
   @traceInduct
-  def suffixTrans[T](q: $[NumStream], suf: $[NumStream]): Boolean = {
+  def suffixTrans[T](q: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     suffix(q, suf) ==> ((q*, suf*) match {
       case (Spine(_, _, rear), Spine(_, _, sufRear)) =>
         // 'sufRear' should be a suffix of 'rear1'
@@ -396,7 +413,7 @@ object LazyNumericalRep {
   /**
    * properSuf(l, suf) ==> l != suf
    */
-  def suffixDisequality[T](l: $[NumStream], suf: $[NumStream]): Boolean = {
+  def suffixDisequality[T](l: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     require(properSuffix(l, suf))
     suffixTrans(l, suf) && // lemma instantiation
       ((l*, suf*) match { // induction scheme
@@ -408,21 +425,21 @@ object LazyNumericalRep {
   }.holds
 
   @traceInduct
-  def suffixCompose[T](q: $[NumStream], suf1: $[NumStream], suf2: $[NumStream]): Boolean = {
+  def suffixCompose[T](q: Lazy[NumStream], suf1: Lazy[NumStream], suf2: Lazy[NumStream]): Boolean = {
     (suffix(q, suf1) && properSuffix(suf1, suf2)) ==> properSuffix(q, suf2)
   } holds
 
   // properties of 'concUntil'
 
   @traceInduct
-  def concreteUntilIsSuffix[T](l: $[NumStream], suf: $[NumStream]): Boolean = {
+  def concreteUntilIsSuffix[T](l: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     concreteUntil(l, suf) ==> suffix(l, suf)
   }.holds
 
   // properties that extend `concUntil` to larger portions of the queue
 
   @traceInduct
-  def concUntilExtenLemma[T](q: $[NumStream], suf: $[NumStream], st1: Set[$[NumStream]], st2: Set[$[NumStream]]): Boolean = {
+  def concUntilExtenLemma[T](q: Lazy[NumStream], suf: Lazy[NumStream], st1: Set[Lazy[NumStream]], st2: Set[Lazy[NumStream]]): Boolean = {
     ((concreteUntil(q, suf) withState st1) && st2 == st1 ++ Set(suf)) ==>
       (suf* match {
         case Spine(_, _, rear) =>
@@ -432,12 +449,12 @@ object LazyNumericalRep {
   } holds
 
   @traceInduct
-  def concUntilConcreteExten[T](q: $[NumStream], suf: $[NumStream]): Boolean = {
+  def concUntilConcreteExten[T](q: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     (concreteUntil(q, suf) && isConcrete(suf)) ==> isConcrete(q)
   } holds
 
   @traceInduct
-  def concUntilCompose[T](q: $[NumStream], suf1: $[NumStream], suf2: $[NumStream]): Boolean = {
+  def concUntilCompose[T](q: Lazy[NumStream], suf1: Lazy[NumStream], suf2: Lazy[NumStream]): Boolean = {
     (concreteUntil(q, suf1) && concreteUntil(suf1, suf2)) ==> concreteUntil(q, suf2)
   } holds
 
@@ -446,19 +463,19 @@ object LazyNumericalRep {
 
   @invisibleBody
   @traceInduct
-  def zeroPredSufConcreteUntilLemma[T](q: $[NumStream], suf: $[NumStream]): Boolean = {
+  def zeroPredSufConcreteUntilLemma[T](q: Lazy[NumStream], suf: Lazy[NumStream]): Boolean = {
     (zeroPrecedeSuf(q, suf) && concreteUntil(q, suf)) ==> zeroPrecedeLazy(q)
   } holds
 
   @invisibleBody
   @traceInduct
-  def concreteZeroPredLemma[T](q: $[NumStream]): Boolean = {
+  def concreteZeroPredLemma[T](q: Lazy[NumStream]): Boolean = {
     isConcrete(q) ==> zeroPrecedeLazy(q)
   } holds
 
   // properties relating `suffix` an `zeroPrecedeSuf`
 
-  def suffixZeroLemma[T](q: $[NumStream], suf: $[NumStream], suf2: $[NumStream]): Boolean = {
+  def suffixZeroLemma[T](q: Lazy[NumStream], suf: Lazy[NumStream], suf2: Lazy[NumStream]): Boolean = {
     require(suf* match {
       case Spine(Zero(), _, _) =>
         suffix(q, suf) && properSuffix(suf, suf2)
@@ -476,4 +493,43 @@ object LazyNumericalRep {
       } else true) &&
       zeroPrecedeSuf(q, suf2) // property
   }.holds
+
+  @ignore
+  def main(args: Array[String]) {
+    //import eagerEval.BigNums
+    import scala.util.Random
+    import scala.math.BigInt
+    import stats._
+    import collection._
+
+    println("Running Numerical Representation test...")
+    val ops = 1000000
+    // initialize to a queue with one element (required to satisfy preconditions of dequeue and front)
+    //var bignum: BigNums.BigNum = BigNums.Nil()
+    var lazynum = emptyNum
+    var totalTime1 = 0L
+    var totalTime2 = 0L
+    println(s"Testing amortized emphemeral behavior on $ops operations...")
+    for (i <- 0 until ops) {
+      //println("Inc..")
+      //bignum = timed { BigNums.increment(bignum) } { totalTime1 += _ }
+      lazynum = timed { incAndPay(lazynum) } { totalTime2 += _ }
+      //val d1 = BigNums.firstDigit(bignum)
+      val d2 = firstDigit(lazynum)
+      //assert(d1.toString == d2.toString, s"Eager head: $d1 Lazy head: $d2")
+    }
+    println(s"Ephemeral Amortized Time - Eager: ${totalTime1 / 1000.0}s Lazy: ${totalTime2 / 1000.0}s") // this should be linear in length for both cases
+    // now, test worst-case behavior (in persitent mode if necessary)
+    val length = (1 << 22) - 1 // a number of the form: 2^{n-1}
+    //bignum = BigNums.Nil()
+    lazynum = emptyNum
+    for (i <- 0 until length) {
+      //bignum = BigNums.increment(bignum)
+      lazynum = incAndPay(lazynum)
+    }
+    //println(s"Number of leading ones of bignum: ${BigNums.leadingOnes(bignum)}")
+    //dequeue 1 element from both queues
+    //timed { BigNums.increment(bignum) } { t => println(s"Time for one eager increment in the worst case: ${t / 1000.0}s") }
+    timed { incAndPay(lazynum) } { t => println(s"Time for one lazy increment in the worst case: ${t / 1000.0}s") }
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/PackratParsing.scala b/testcases/lazy-datastructures/withOrb/PackratParsing.scala
index b9377da8f..4cf2b81fe 100644
--- a/testcases/lazy-datastructures/withOrb/PackratParsing.scala
+++ b/testcases/lazy-datastructures/withOrb/PackratParsing.scala
@@ -1,11 +1,11 @@
 package orb
 
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 /**
  * The packrat parser that uses the Expressions grammar presented in Bran Ford ICFP'02 paper.
@@ -22,7 +22,9 @@ object PackratParsing {
   case class Digit() extends Terminal
 
   /**
-   * A mutable array of tokens returned by the lexer
+   * A mutable array of tokens returned by the lexer.
+   * The string of tokens is reversed i.e,
+   * string(legnth-1) represents the first char and string(0) represents the last char.
    */
   @ignore
   var string = Array[Terminal]()
@@ -33,7 +35,7 @@ object PackratParsing {
   @extern
   def lookup(i: BigInt): Terminal = {
     string(i.toInt)
-  } ensuring(_ => time <= 1)
+  } ensuring (_ => time <= 1)
 
   sealed abstract class Result {
     /**
@@ -43,7 +45,7 @@ object PackratParsing {
     @inline
     def smallerIndex(i: BigInt) = this match {
       case Parsed(m) => m < i
-      case _ => true
+      case _         => true
     }
   }
   case class Parsed(rest: BigInt) extends Result
@@ -53,48 +55,53 @@ object PackratParsing {
   @memoize
   @invstate
   def pAdd(i: BigInt): Result = {
-    require(depsEval(i) &&
-      pMul(i).isCached && pPrim(i).isCached &&
-      resEval(i, pMul(i))) // lemma inst
-
+    require {
+      if (depsEval(i) && pMul(i).isCached && pPrim(i).isCached)
+        resEval(i, pMul(i)) // lemma inst
+      else false
+    }
     // Rule 1: Add <- Mul + Add
-    pMul(i) match {
+    val mulRes = pMul(i)
+    mulRes match {
       case Parsed(j) =>
         if (j > 0 && lookup(j) == Plus()) {
           pAdd(j - 1) match {
             case Parsed(rem) =>
               Parsed(rem)
             case _ =>
-              pMul(i) // Rule2: Add <- Mul
+              mulRes // Rule2: Add <- Mul
           }
-        } else pMul(i)
+        } else mulRes
       case _ =>
-        pMul(i)
+        mulRes
     }
-  } ensuring (res => res.smallerIndex(i) && time <= ?)
+  } ensuring (res => res.smallerIndex(i) && time <= ?) // time <= 26
 
   @invisibleBody
   @memoize
   @invstate
   def pMul(i: BigInt): Result = {
-    require(depsEval(i) && pPrim(i).isCached &&
-      resEval(i, pPrim(i)) // lemma inst
-      )
+    require{
+      if (depsEval(i) && pPrim(i).isCached)
+        resEval(i, pPrim(i)) // lemma inst
+      else false
+    }
     // Rule 1: Mul <- Prim *  Mul
-    pPrim(i) match {
+    val primRes = pPrim(i)
+    primRes match {
       case Parsed(j) =>
-        if (j > 0 && lookup(j) == Plus()) {
+        if (j > 0 && lookup(j) == Times()) {
           pMul(j - 1) match {
             case Parsed(rem) =>
               Parsed(rem)
             case _ =>
-              pPrim(i) // Rule2: Mul <- Prim
+              primRes // Rule2: Mul <- Prim
           }
-        } else pPrim(i)
+        } else primRes
       case _ =>
-        pPrim(i)
+        primRes
     }
-  } ensuring (res => res.smallerIndex(i) && time <= ?)
+  } ensuring (res => res.smallerIndex(i) && time <= ?) // time <= 26
 
   @invisibleBody
   @memoize
@@ -106,23 +113,24 @@ object PackratParsing {
       if (i > 0)
         Parsed(i - 1) // Rule1: Prim <- Digit
       else
-        Parsed(-1)  // here, we can use -1 to convery that the suffix is empty
+        Parsed(-1) // here, we can use -1 to convey that the suffix is empty
     } else if (char == Open() && i > 0) {
       pAdd(i - 1) match { // Rule 2: pPrim <- ( Add )
         case Parsed(rem) =>
-          Parsed(rem)
+          if (rem >= 0 && lookup(rem) == Close()) Parsed(rem - 1)
+          else NoParse()
         case _ =>
           NoParse()
       }
     } else NoParse()
-  } ensuring (res => res.smallerIndex(i) && time <= ?)
+  } ensuring (res => res.smallerIndex(i) && time <= ?) // time <= 28
 
   //@inline
-  def depsEval(i: BigInt) = i == 0 || (i > 0 && allEval(i-1))
+  def depsEval(i: BigInt) = i == 0 || (i > 0 && allEval(i - 1))
 
   def allEval(i: BigInt): Boolean = {
     require(i >= 0)
-    (pPrim(i).isCached && pMul(i).isCached && pAdd(i).isCached) &&(
+    (pPrim(i).isCached && pMul(i).isCached && pAdd(i).isCached) && (
       if (i == 0) true
       else allEval(i - 1))
   }
@@ -152,17 +160,51 @@ object PackratParsing {
     })
   }
 
-  @invisibleBody
+  /*@invisibleBody
   def invoke(i: BigInt): (Result, Result, Result) = {
-    require(i == 0 || (i > 0 && allEval(i-1)))
+    require(i == 0 || (i > 0 && allEval(i - 1)))
     (pPrim(i), pMul(i), pAdd(i))
   } ensuring (res => {
-    val in = Mem.inState[Result]
-    val out = Mem.outState[Result]
-    (if(i >0) evalMono(i-1, in, out) else true) &&
-    allEval(i) &&
-    time <= ?
-  })
+    val in = inState[Result]
+    val out = outState[Result]
+    (if (i > 0) evalMono(i - 1, in, out) else true) &&
+      allEval(i) &&
+      time <= ?
+  })*/
+
+  def invokePrim(i: BigInt): Result = {
+    require(depsEval(i))
+    pPrim(i)
+  } ensuring { res =>
+    val in = inState[Result]
+    val out = outState[Result]
+    (if (i > 0) evalMono(i - 1, in, out) else true)
+  }
+
+  def invokeMul(i: BigInt): Result = {
+    require(depsEval(i))
+    invokePrim(i) match {
+      case _ => pMul(i)
+    }
+  } ensuring { res =>
+    val in = inState[Result]
+    val out = outState[Result]
+    (if (i > 0) evalMono(i - 1, in, out) else true)
+  }
+
+  @invisibleBody
+  def invoke(i: BigInt): Result = {
+    require(depsEval(i))
+    invokeMul(i) match {
+      case _ => pAdd(i)
+    }
+  } ensuring { res =>
+    val in = inState[Result]
+    val out = outState[Result]
+    (if (i > 0) evalMono(i - 1, in, out) else true) &&
+      allEval(i) &&
+      time <= ? // 189
+  }
 
   /**
    * Parsing a string of length 'n+1'.
@@ -172,11 +214,34 @@ object PackratParsing {
   @invisibleBody
   def parse(n: BigInt): Result = {
     require(n >= 0)
-    if(n == 0) invoke(n)._3
+    if (n == 0) invoke(n)
     else {
-      val tailres = parse(n-1) // we parse the prefixes ending at 0, 1, 2, 3, ..., n
-      invoke(n)._3
+      parse(n - 1) match { // we parse the prefixes ending at 0, 1, 2, 3, ..., n
+        case _ =>
+          invoke(n)
+      }
     }
-  } ensuring(_ => allEval(n) &&
-      time <= ? * n + ?)
+  } ensuring (_ => allEval(n) &&
+    time <= ? * n + ?) // 198 * n + 192
+
+  @ignore
+  def main(args: Array[String]) {
+    // note: we can run only one test in each run as the cache needs to be cleared between the tests,
+    // which is not currently supported by the api's
+    test1()
+    //test2()
+  }
+
+  @ignore
+  def test1() {
+    // list of tokens to parse. The list is reversed i.e, the first char is at the last index, the last char is at the first index.
+    string = Array(Plus(), Digit(), Times(), Close(), Digit(), Plus(), Digit(), Open()) // d *  ( d + d ) +
+    println("Parsing Expression 1: " + parse(string.length - 1))
+  }
+
+  @ignore
+  def test2() {
+    string = Array(Times(), Digit(), Open()) // ( d *
+    println("Parsing Expression 2: " + parse(string.length - 1))
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/RealTimeQueue.scala b/testcases/lazy-datastructures/withOrb/RealTimeQueue.scala
index f0a78b4f2..3eda466a8 100644
--- a/testcases/lazy-datastructures/withOrb/RealTimeQueue.scala
+++ b/testcases/lazy-datastructures/withOrb/RealTimeQueue.scala
@@ -1,12 +1,12 @@
-package orb
+package withOrb
 
-import leon.lazyeval._
-import leon.lazyeval.$._
-import leon.lang._
-import leon.annotation._
-import leon.collection._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import collection._
+import instrumentation._
+import invariant._
 
 object RealTimeQueue {
 
@@ -32,10 +32,10 @@ object RealTimeQueue {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons[T](x: T, tail: $[Stream[T]]) extends Stream[T]
+  case class SCons[T](x: T, tail: Lazy[Stream[T]]) extends Stream[T]
   case class SNil[T]() extends Stream[T]
 
-  def isConcrete[T](l: $[Stream[T]]): Boolean = {
+  def isConcrete[T](l: Lazy[Stream[T]]): Boolean = {
     l.isEvaluated && (l* match {
       case SCons(_, tail) =>
         isConcrete(tail)
@@ -45,7 +45,7 @@ object RealTimeQueue {
 
   @invisibleBody
   @invstate
-  def rotate[T](f: $[Stream[T]], r: List[T], a: $[Stream[T]]): Stream[T] = { // doesn't change state
+  def rotate[T](f: Lazy[Stream[T]], r: List[T], a: Lazy[Stream[T]]): Stream[T] = { // doesn't change state
     require(r.size == (f*).size + 1 && isConcrete(f))
     (f.value, r) match {
       case (SNil(), Cons(y, _)) => //in this case 'y' is the only element in 'r'
@@ -56,12 +56,12 @@ object RealTimeQueue {
         SCons[T](x, rot)
     }
   } ensuring (res => res.size == (f*).size + r.size + (a*).size && res.isCons &&
-                     time <= ?)
+    time <= ?)
 
   /**
    * Returns the first element of the stream that is not evaluated.
    */
-  def firstUnevaluated[T](l: $[Stream[T]]): $[Stream[T]] = {
+  def firstUnevaluated[T](l: Lazy[Stream[T]]): Lazy[Stream[T]] = {
     if (l.isEvaluated) {
       l* match {
         case SCons(_, tail) =>
@@ -77,7 +77,7 @@ object RealTimeQueue {
       case _ => true
     }))
 
-  case class Queue[T](f: $[Stream[T]], r: List[T], s: $[Stream[T]]) {
+  case class Queue[T](f: Lazy[Stream[T]], r: List[T], s: Lazy[Stream[T]]) {
     def isEmpty = (f*).isEmpty
     def valid = {
       (firstUnevaluated(f) == firstUnevaluated(s)) &&
@@ -86,7 +86,7 @@ object RealTimeQueue {
   }
 
   @inline
-  def createQ[T](f: $[Stream[T]], r: List[T], s: $[Stream[T]]) = {
+  def createQ[T](f: Lazy[Stream[T]], r: List[T], s: Lazy[Stream[T]]) = {
     s.value match {
       case SCons(_, tail) => Queue(f, r, tail)
       case SNil() =>
@@ -96,6 +96,18 @@ object RealTimeQueue {
     }
   }
 
+  def empty[T] = {
+    val a: Stream[T] = SNil()
+    Queue(a, Nil(), a)
+  }
+
+  def head[T](q: Queue[T]): T = {
+    require(!q.isEmpty && q.valid)
+    q.f.value match {
+      case SCons(x, _) => x
+    }
+  } //ensuring (res => res.valid && time <= ?)
+
   def enqueue[T](x: T, q: Queue[T]): Queue[T] = {
     require(q.valid)
     createQ(q.f, Cons(x, q.r), q.s)
@@ -108,4 +120,57 @@ object RealTimeQueue {
         createQ(nf, q.r, q.s)
     }
   } ensuring (res => res.valid && time <= ?)
+
+  @ignore
+  def main(args: Array[String]) {
+    //import eagerEval.AmortizedQueue
+    import scala.util.Random
+    import scala.math.BigInt
+    import stats._
+    import collection._
+
+    println("Running RTQ test...")
+    val ops = 10000000
+    val rand = Random
+    // initialize to a queue with one element (required to satisfy preconditions of dequeue and front)
+    var rtq = empty[BigInt]
+    //var amq = AmortizedQueue.Queue(AmortizedQueue.Nil(), AmortizedQueue.Nil())
+    var totalTime1 = 0L
+    var totalTime2 = 0L
+    println(s"Testing amortized emphemeral behavior on $ops operations...")
+    for (i <- 0 until ops) {
+      if (!rtq.isEmpty) {
+        val h1 = head(rtq)
+        //val h2 = amq.head
+        //assert(h1 == h2, s"Eager head: $h2 Lazy head: $h1")
+      }
+      rand.nextInt(2) match {
+        case x if x == 0 => //enqueue
+          //          /if(i%100000 == 0) println("Enqueue..")
+          rtq = timed { enqueue(BigInt(i), rtq) } { totalTime1 += _ }
+          //amq = timed { amq.enqueue(BigInt(i)) } { totalTime2 += _ }
+        case x if x == 1 => //dequeue
+          if (!rtq.isEmpty) {
+            //if(i%100000 == 0) println("Dequeue..")
+            rtq = timed { dequeue(rtq) } { totalTime1 += _ }
+            //amq = timed { amq.dequeue } { totalTime2 += _ }
+          }
+      }
+    }
+    println(s"Ephemeral Amortized Time - Eager: ${totalTime2 / 1000.0}s Lazy: ${totalTime1 / 1000.0}s") // this should be linear in length for both cases
+    // now, test worst-case behavior (in persitent mode if necessary)
+    val length = (1 << 22) - 2 // a number of the form: 2^{n-2}
+    // reset the queues
+    rtq = empty[BigInt]
+    //amq = AmortizedQueue.Queue(AmortizedQueue.Nil(), AmortizedQueue.Nil())
+    // enqueue length elements
+    for (i <- 0 until length) {
+      rtq = enqueue(BigInt(0), rtq)
+      //amq = amq.enqueue(BigInt(0))
+    }
+    //println(s"Amortized queue size: ${amq.front.size}, ${amq.rear.size}")
+    //dequeue 1 element from both queues
+    //timed { amq.dequeue } { t => println(s"Time to dequeue one element from Amortized Queue in the worst case: ${t / 1000.0}s") }
+    timed { dequeue(rtq) } { t => println(s"Time to dequeue one element from RTQ in the worst case: ${t / 1000.0}s") }
+  }
 }
diff --git a/testcases/lazy-datastructures/withOrb/SortingnConcat-orb.scala b/testcases/lazy-datastructures/withOrb/SortingnConcat.scala
similarity index 72%
rename from testcases/lazy-datastructures/withOrb/SortingnConcat-orb.scala
rename to testcases/lazy-datastructures/withOrb/SortingnConcat.scala
index 76f6bae6b..0f4c1151b 100644
--- a/testcases/lazy-datastructures/withOrb/SortingnConcat-orb.scala
+++ b/testcases/lazy-datastructures/withOrb/SortingnConcat.scala
@@ -1,10 +1,11 @@
 package withOrb
 
-import leon.lazyeval._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 object SortingnConcat {
 
@@ -17,9 +18,9 @@ object SortingnConcat {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons(x: BigInt, tail: $[LList]) extends LList
+  case class SCons(x: BigInt, tail: Lazy[LList]) extends LList
   case class SNil() extends LList
-  def ssize(l: $[LList]): BigInt = (l*).size
+  def ssize(l: Lazy[LList]): BigInt = (l*).size
 
   sealed abstract class List {
     def size: BigInt = this match {
@@ -60,18 +61,7 @@ object SortingnConcat {
     }
   } ensuring(res => time <= ?)
 
-  def secondMin(l: $[LList]) : BigInt = {
-    l.value match {
-      case SCons(x, xs) =>
-        xs.value match {
-          case SCons(y, ys) => y
-          case SNil() => x
-        }
-      case SNil() => BigInt(0)
-    }
-  } ensuring (_ => time <= ? * ssize(l) + ?)
-
-/*  def kthMin(l: $[LList], k: BigInt): BigInt = {
+  def kthMin(l: Lazy[LList], k: BigInt): BigInt = {
     require(k >= 1)
     l.value match {
       case SCons(x, xs) =>
@@ -80,5 +70,5 @@ object SortingnConcat {
           kthMin(xs, k - 1)
       case SNil() => BigInt(0)
     }
-  } ensuring (_ => time <= ? * k * ssize(l) + ? * k + ?)*/
+  } ensuring (_ => time <= ? * (k * ssize(l)) + ? * k + ?)
 }
diff --git a/testcases/lazy-datastructures/withOrb/WeightedScheduling.scala b/testcases/lazy-datastructures/withOrb/WeightedScheduling.scala
index 74281ac66..fc254279b 100644
--- a/testcases/lazy-datastructures/withOrb/WeightedScheduling.scala
+++ b/testcases/lazy-datastructures/withOrb/WeightedScheduling.scala
@@ -1,20 +1,20 @@
 package orb
 
-import leon.lazyeval._
-import leon.lazyeval.Mem._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-import leon.invariant._
+import leon._
+import mem._
+import lang._
+import annotation._
+import instrumentation._
+import invariant._
 
 object WeightedSched {
   sealed abstract class IList {
     def size: BigInt = {
       this match {
         case Cons(_, tail) => 1 + tail.size
-        case Nil() => BigInt(0)
+        case Nil()         => BigInt(0)
       }
-    } ensuring(_ >= 0)
+    } ensuring (_ >= 0)
   }
   case class Cons(x: BigInt, tail: IList) extends IList
   case class Nil() extends IList
@@ -23,12 +23,14 @@ object WeightedSched {
    * array of jobs
    * (a) each job has a start time, finish time, and weight
    * (b) Jobs are sorted in ascending order of finish times
+   * The first job should be (0,0,0) so that it acts as sentinel of every other job
    */
   @ignore
   var jobs = Array[(BigInt, BigInt, BigInt)]()
 
   /**
    * A precomputed mapping from each job i to the previous job j it is compatible with.
+   * The value of the first index could be anything.
    */
   @ignore
   var p = Array[Int]()
@@ -36,17 +38,17 @@ object WeightedSched {
   @extern
   def jobInfo(i: BigInt) = {
     jobs(i.toInt)
-  } ensuring(_ => time <= 1)
+  } ensuring (_ => time <= 1)
 
   @extern
   def prevCompatibleJob(i: BigInt) = {
     BigInt(p(i.toInt))
-  } ensuring(res => res >=0 && res < i && time <= 1)
+  } ensuring (res => res >= 0 && res < i && time <= 1)
 
   @inline
   def max(x: BigInt, y: BigInt) = if (x >= y) x else y
 
-  def depsEval(i: BigInt) = i == 0 || (i > 0 && allEval(i-1))
+  def depsEval(i: BigInt) = i == 0 || (i > 0 && allEval(i - 1))
 
   def allEval(i: BigInt): Boolean = {
     require(i >= 0)
@@ -62,7 +64,7 @@ object WeightedSched {
   } holds
 
   @traceInduct
-   def evalLem(x: BigInt, y: BigInt) = {
+  def evalLem(x: BigInt, y: BigInt) = {
     require(x >= 0 && y >= 0)
     (x <= y && allEval(y)) ==> allEval(x)
   } holds
@@ -72,9 +74,9 @@ object WeightedSched {
   @memoize
   def sched(jobIndex: BigInt): BigInt = {
     require(depsEval(jobIndex) &&
-        (jobIndex == 0 || evalLem(prevCompatibleJob(jobIndex), jobIndex-1)))
+      (jobIndex == 0 || evalLem(prevCompatibleJob(jobIndex), jobIndex - 1)))
     val (st, fn, w) = jobInfo(jobIndex)
-    if(jobIndex == 0) w
+    if (jobIndex == 0) w
     else {
       // we may either include the head job or not:
       // if we include the head job, we have to skip every job that overlaps with it
@@ -82,28 +84,50 @@ object WeightedSched {
       val prevCompatVal = sched(prevCompatibleJob(jobIndex))
       max(w + prevCompatVal, tailValue)
     }
-  } ensuring(_ => time <= ?)
+  } ensuring (_ => time <= ?)
 
   @invisibleBody
   def invoke(jobIndex: BigInt) = {
     require(depsEval(jobIndex))
     sched(jobIndex)
   } ensuring (res => {
-    val in = Mem.inState[BigInt]
-    val out = Mem.outState[BigInt]
-    (jobIndex == 0 || evalMono(jobIndex-1, in, out)) &&
+    val in = inState[BigInt]
+    val out = outState[BigInt]
+    (jobIndex == 0 || evalMono(jobIndex - 1, in, out)) &&
       time <= ?
   })
 
   @invisibleBody
   def schedBU(jobi: BigInt): IList = {
     require(jobi >= 0)
-    if(jobi == 0) {
-        Cons(invoke(jobi), Nil())
+    if (jobi == 0) {
+      Cons(invoke(jobi), Nil())
     } else {
-      val tailRes =  schedBU(jobi-1)
+      val tailRes = schedBU(jobi - 1)
       Cons(invoke(jobi), tailRes)
     }
-  } ensuring(_ => allEval(jobi) &&
-		  	time <= ? * (jobi + 1))
+  } ensuring (_ => allEval(jobi) &&
+    time <= ? * (jobi + 1))
+
+  @ignore
+  def main(args: Array[String]) {
+    // note: we can run only one test in each run as the cache needs to be cleared between the tests,
+    // which is not currently supported by the api's (note: the methods access a mutable field)
+    test1()
+    //test2()
+  }
+
+  @ignore
+  def test1() {
+    jobs = Array((0, 0, 0), (1, 2, 5), (3, 4, 2), (3, 8, 5), (6, 7, 10), (8, 11, 11), (10, 13, 20))
+    p = Array(0 /* anything */ , 0, 1, 1, 2, 4, 4)
+    println("Schedule for 5 jobs of set 1: " + schedBU(6))
+  }
+
+  @ignore
+  def test2() {
+    jobs = Array((0, 0, 0), (1, 3, 5), (3, 4, 2), (3, 8, 5), (6, 7, 10), (8, 11, 11), (10, 13, 20))
+    p = Array(0 /* anything */ , 0, 0, 0, 2, 4, 4)
+    println("Schedule for 5 jobs of set 2: " + schedBU(6))
+  }
 }
diff --git a/testcases/lazy-datastructures/BottomUpMegeSort.scala b/testcases/lazy-datastructures/withconst/BottomUpMegeSort.scala
similarity index 92%
rename from testcases/lazy-datastructures/BottomUpMegeSort.scala
rename to testcases/lazy-datastructures/withconst/BottomUpMegeSort.scala
index 255da6e09..1f4672599 100644
--- a/testcases/lazy-datastructures/BottomUpMegeSort.scala
+++ b/testcases/lazy-datastructures/withconst/BottomUpMegeSort.scala
@@ -1,11 +1,11 @@
 package lazybenchmarks
 
-import leon.lazyeval._
-import leon.lazyeval.$._
-import leon.lang._
-import leon.annotation._
-import leon.instrumentation._
-//import leon.invariant._
+import leon._
+import lazyeval._
+import lang._
+import annotation._
+import instrumentation._
+//import invariant._
 
 /**
  * TODO Multiple instantiations of type parameters is not supported yet,
@@ -43,9 +43,9 @@ object BottomUpMergeSort {
       }
     } ensuring (_ >= 0)
   }
-  case class SCons(x: BigInt, tail: $[IStream]) extends IStream
+  case class SCons(x: BigInt, tail: Lazy[IStream]) extends IStream
   case class SNil() extends IStream
-  def ssize(l: $[IStream]): BigInt = (l*).size
+  def ssize(l: Lazy[IStream]): BigInt = (l*).size
 
   /**
    * A list of suspensions
@@ -72,7 +72,7 @@ object BottomUpMergeSort {
       }
     } ensuring (_ >= 0)
   }
-  case class LCons(x: $[IStream], tail: LList) extends LList
+  case class LCons(x: Lazy[IStream], tail: LList) extends LList
   case class LNil() extends LList
 
   /**
@@ -120,7 +120,8 @@ object BottomUpMergeSort {
    *  Note: the sorted stream of integers may by recursively constructed using merge.
    *  Takes time linear in the size of the streams (non-trivial to prove due to cascading of lazy calls)
    */
-  def merge(a: $[IStream], b: $[IStream]): IStream = {
+  @usePost
+  def merge(a: Lazy[IStream], b: Lazy[IStream]): IStream = {
     require(((a*) != SNil() || b.isEvaluated) && // if one of the arguments is Nil then the other is evaluated
         ((b*) != SNil() || a.isEvaluated) &&
         ((a*) != SNil() || (b*) != SNil())) // at least one of the arguments is not Nil
diff --git a/testcases/lazy-datastructures/Deque.scala b/testcases/lazy-datastructures/withconst/Deque.scala
similarity index 100%
rename from testcases/lazy-datastructures/Deque.scala
rename to testcases/lazy-datastructures/withconst/Deque.scala
diff --git a/testcases/lazy-datastructures/Esop15Benchmarks.scala b/testcases/lazy-datastructures/withconst/Esop15Benchmarks.scala
similarity index 100%
rename from testcases/lazy-datastructures/Esop15Benchmarks.scala
rename to testcases/lazy-datastructures/withconst/Esop15Benchmarks.scala
diff --git a/testcases/lazy-datastructures/LazyMegeSort.scala b/testcases/lazy-datastructures/withconst/LazyMegeSort.scala
similarity index 100%
rename from testcases/lazy-datastructures/LazyMegeSort.scala
rename to testcases/lazy-datastructures/withconst/LazyMegeSort.scala
diff --git a/testcases/lazy-datastructures/LazyNumericalRep.scala b/testcases/lazy-datastructures/withconst/LazyNumericalRep.scala
similarity index 100%
rename from testcases/lazy-datastructures/LazyNumericalRep.scala
rename to testcases/lazy-datastructures/withconst/LazyNumericalRep.scala
diff --git a/testcases/lazy-datastructures/RealTimeQueue.scala b/testcases/lazy-datastructures/withconst/RealTimeQueue.scala
similarity index 100%
rename from testcases/lazy-datastructures/RealTimeQueue.scala
rename to testcases/lazy-datastructures/withconst/RealTimeQueue.scala
diff --git a/testcases/lazy-datastructures/SortingnConcat.scala b/testcases/lazy-datastructures/withconst/SortingnConcat.scala
similarity index 100%
rename from testcases/lazy-datastructures/SortingnConcat.scala
rename to testcases/lazy-datastructures/withconst/SortingnConcat.scala
diff --git a/testcases/orb-testcases/amortized/BigNums.scala b/testcases/orb-testcases/amortized/BigNums.scala
index 883d1f45a..e4860ff5a 100644
--- a/testcases/orb-testcases/amortized/BigNums.scala
+++ b/testcases/orb-testcases/amortized/BigNums.scala
@@ -1,37 +1,66 @@
-import leon.invariant._
-import leon.instrumentation._
+package orb
+
+import leon._
+import annotation._
+import invariant._
+import instrumentation._
 
 object BigNums {
+  sealed abstract class Digit
+  case class Zero() extends Digit {
+    @ignore 
+    override def toString = "0"
+  }
+  case class One() extends Digit {
+    @ignore 
+    override def toString = "1"
+  }
+  
   sealed abstract class BigNum
-  case class Cons(head: BigInt, tail: BigNum) extends BigNum
+  case class Cons(head: Digit, tail: BigNum) extends BigNum
   case class Nil() extends BigNum
 
-  def incrTime(l: BigNum) : BigInt = {
+  /**
+   * Time taken by the increment method
+   * The number of leading one's
+   */
+  def leadingOnes(l: BigNum) : BigInt = {
     l match {
       case Nil() => 1
-      case Cons(x, tail) =>
-        if(x == 0) 1
-        else 1 + incrTime(tail)
+      case Cons(Zero(), tail) => 1
+      case Cons(_, tail) => 1 + leadingOnes(tail)
     }
   }
 
-  def potentialIncr(l: BigNum) : BigInt = {
+  /**
+   * Total number of one's in the number
+   */
+  def numOnes(l: BigNum) : BigInt = {
     l match {
       case Nil() => 0
-      case Cons(x, tail) =>
-        if(x == 0) potentialIncr(tail)
-        else 1 + potentialIncr(tail)
+      case Cons(Zero(), tail) => numOnes(tail)
+      case Cons(_, tail) => 1 + numOnes(tail)
     }
   }
-
+  
+  /**
+   * Increments a number
+   */
   def increment(l: BigNum) : BigNum = {
     l match {
-      case Nil() => Cons(1,l)
-      case Cons(x, tail) =>
-        if(x == 0) Cons(1, tail)
-        else Cons(0, increment(tail))
+      case Nil()              => Cons(One(), l)
+      case Cons(Zero(), tail) => Cons(One(), tail)
+      case Cons(_, tail) => 
+        Cons(Zero(), increment(tail))
     }
-  } ensuring (res => time <= ? * incrTime(l) + ? && incrTime(l) + potentialIncr(res) - potentialIncr(l) <= ?)
+  } ensuring (res => time <= ? * leadingOnes(l) + ? && leadingOnes(l) + numOnes(res) - numOnes(l) <= ?)
+  
+  def firstDigit(l: BigNum): Digit = {
+    require(l != Nil())
+    l match {
+      case Cons(d, _) => d
+    }
+  }
 
   /**
    * Nop is the number of operations
@@ -41,7 +70,7 @@ object BigNums {
     else {
       incrUntil(nop-1, increment(l))
     }
-  } ensuring (res => time <= ? * nop + ? * potentialIncr(l) + ?)
+  } ensuring (res => time <= ? * nop + ? * numOnes(l) + ?)
 
   def count(nop: BigInt) : BigNum = {
     incrUntil(nop, Nil())
diff --git a/testcases/orb-testcases/timing/AmortizedQueue.scala b/testcases/orb-testcases/timing/AmortizedQueue.scala
index 23b5c3572..8aece6a66 100644
--- a/testcases/orb-testcases/timing/AmortizedQueue.scala
+++ b/testcases/orb-testcases/timing/AmortizedQueue.scala
@@ -1,88 +1,83 @@
-import leon.invariant._
-import leon.instrumentation._
+package orb
 
-object AmortizedQueue {
-  sealed abstract class List
-  case class Cons(head : BigInt, tail : List) extends List
-  case class Nil() extends List
-
-  case class Queue(front : List, rear : List)
+import leon._
+import invariant._
+import instrumentation._
 
-  def size(list : List) : BigInt = (list match {
-    case Nil() => 0
-    case Cons(_, xs) => 1 + size(xs)
-  })
-
-  def sizeList(list: List): BigInt = {
-    list match {
-      case Nil() => BigInt(0)
-      case Cons(_, xs) => 1 + sizeList(xs)
+object AmortizedQueue {
+  sealed abstract class List {
+    val size: BigInt = this match {
+      case Nil()       => 0
+      case Cons(_, xs) => 1 + xs.size
     }
-  }ensuring((res : BigInt) => res >= 0 && tmpl((a, b) => time <= a * size(list) + b))
-
-  def qsize(q : Queue) : BigInt = size(q.front) + size(q.rear)
-
-  def asList(q : Queue) : List = concat(q.front, reverse(q.rear))
-
-  def concat(l1 : List, l2 : List) : List = (l1 match {
-    case Nil() => l2
-    case Cons(x,xs) => Cons(x, concat(xs, l2))
+  }
+  case class Cons(head: BigInt, tail: List) extends List
+  case class Nil() extends List
 
-  }) ensuring (res => size(res) == size(l1) + size(l2) && tmpl((a,b,c) => time <= a*size(l1) + b))
+  def concat(l1: List, l2: List): List = (l1 match {
+    case Nil()       => l2
+    case Cons(x, xs) => Cons(x, concat(xs, l2))
 
-  def isAmortized(q : Queue) : Boolean = sizeList(q.front) >= sizeList(q.rear)
-
-  def isEmpty(queue : Queue) : Boolean = queue match {
-    case Queue(Nil(), Nil()) => true
-    case _ => false
-  }
+  }) ensuring (res => res.size == l1.size + l2.size && time <= ? * l1.size + ?)
 
   def reverseRec(l1: List, l2: List): List = (l1 match {
-    case Nil() => l2
+    case Nil()       => l2
     case Cons(x, xs) => reverseRec(xs, Cons(x, l2))
+  }) ensuring (res => l1.size + l2.size == res.size && time <= ? * l1.size + ?)
 
-  }) ensuring (res =>  size(l1) + size(l2) == size(res) && tmpl((a,b) => time <= a*size(l1) + b))
-
-  def reverse(l: List): List = {
+  def listRev(l: List): List = {
     reverseRec(l, Nil())
-  } ensuring (res => size(l) == size(res) && tmpl((a,b) => time <= a*size(l) + b))
+  } ensuring (res => l.size == res.size && time <= ? * l.size + ?)
 
-  def amortizedQueue(front : List, rear : List) : Queue = {
-    if (sizeList(rear) <= sizeList(front))
-      Queue(front, rear)
-    else
-      Queue(concat(front, reverse(rear)), Nil())
-  }
+  def removeLast(l: List): List = {
+    require(l != Nil())
+    l match {
+      case Cons(x, Nil()) => Nil()
+      case Cons(x, xs)    => Cons(x, removeLast(xs))
+      case _              => Nil()
+    }
+  } ensuring (res => res.size <= l.size && tmpl((a, b) => time <= a * l.size + b))
 
-  def enqueue(q : Queue, elem : BigInt) : Queue = ({
+  case class Queue(front: List, rear: List) {
+    def qsize: BigInt = front.size + rear.size
 
-    amortizedQueue(q.front, Cons(elem, q.rear))
+    def asList: List = concat(front, listRev(rear))
 
-  }) ensuring(res =>  true && tmpl((a,b) => time <= a*qsize(q) + b))
+    def isAmortized: Boolean = front.size >= rear.size
 
-  def dequeue(q : Queue) : Queue = {
-    require(isAmortized(q) && !isEmpty(q))
-    q match {
-      case Queue(Cons(f, fs), rear) => amortizedQueue(fs, rear)
-      case _ => Queue(Nil(),Nil())
+    def isEmpty: Boolean = this match {
+      case Queue(Nil(), Nil()) => true
+      case _                   => false
     }
-  } ensuring(res =>  true && tmpl((a,b) => time <= a*qsize(q) + b))
 
-  def removeLast(l : List) : List = {
-    require(l != Nil())
-    l match {
-      case Cons(x,Nil()) => Nil()
-      case Cons(x,xs) => Cons(x, removeLast(xs))
-      case _ => Nil()
+    def amortizedQueue(front: List, rear: List): Queue = {
+      if (rear.size <= front.size)
+        Queue(front, rear)
+      else
+        Queue(concat(front, listRev(rear)), Nil())
     }
-  } ensuring(res =>  size(res) <= size(l) && tmpl((a,b) => time <= a*size(l) + b))
 
-  def pop(q : Queue) : Queue = {
-    require(isAmortized(q) && !isEmpty(q))
-    q match {
-     case Queue(front, Cons(r,rs)) => Queue(front, rs)
-     case Queue(front, rear) => Queue(removeLast(front), rear)
-     case _ => Queue(Nil(),Nil())
+    def enqueue(elem: BigInt): Queue = ({
+      amortizedQueue(front, Cons(elem, rear))
+    }) ensuring (_ => time <= ? * qsize + ?)
+
+    def dequeue: Queue = {
+      require(isAmortized && !isEmpty)
+      front match {
+        case Cons(f, fs) => amortizedQueue(fs, rear)
+        case _           => Queue(Nil(), Nil())
+      }
+    } ensuring (_ => time <= ? * qsize + ?)
+
+    def head: BigInt = {
+      require(isAmortized && !isEmpty)
+      front match {
+        case Cons(f, _) => f
+      }
     }
-  } ensuring(res =>  true && tmpl((a,b) => time <= a*size(q.front) + b))
+    
+    def reverse: Queue = { // this lets the queue perform deque operation (but they no longer have efficient constant time amortized bounds)
+      amortizedQueue(rear, front)
+    }
+  }
 }
diff --git a/testcases/verification/list-algorithms/BasicMergeSort.scala b/testcases/verification/list-algorithms/BasicMergeSort.scala
index 55e632ff8..67fadf7dd 100644
--- a/testcases/verification/list-algorithms/BasicMergeSort.scala
+++ b/testcases/verification/list-algorithms/BasicMergeSort.scala
@@ -1,12 +1,16 @@
-import leon.lang._
-import leon.collection._
+package listalgorithms
+
+import leon._
+import lang._
+import collection._
+
 object MergeSort {
 
   def merge[T](less: (T, T) => Boolean)(xs: List[T], ys: List[T]): List[T] = {
     (xs, ys) match {
       case (Nil(), _) => ys
       case (_, Nil()) => xs
-      case (Cons(x,xtail), Cons(y,ytail)) =>
+      case (Cons(x, xtail), Cons(y, ytail)) =>
         if (less(x, y))
           x :: merge(less)(xtail, ys)
         else
@@ -15,12 +19,23 @@ object MergeSort {
   } ensuring { res => res.content == xs.content ++ ys.content &&
                       res.size == xs.size + ys.size }
 
+  def split[T](list: List[T]): (List[T], List[T]) = {
+    list match {
+      case Nil()          => (Nil(), Nil())
+      case Cons(x, Nil()) => (Cons(x, Nil()), Nil())
+      case Cons(x1, Cons(x2, xs)) =>
+        val (s1, s2) = split(xs)
+        (Cons(x1, s1), Cons(x2, s2))
+    } 
+  } 
+
   def msort[T](less: (T, T) => Boolean)(l: List[T]): List[T] = {
-    if (l.size <= 1) l
-    else {
-      val c = l.length/2
-      val (first, second) = l.splitAtIndex(c) // evenSplit
-      merge(less)(msort(less)(first), msort(less)(second))
+    l match {
+      case Nil()          => Nil[T]()
+      case Cons(x, Nil()) => Cons(x, Nil())
+      case _ =>
+        val (first, second) = split(l)
+        merge(less)(msort(less)(first), msort(less)(second))
     }
   } ensuring { res => res.content == l.content && res.size == l.size }
 }
diff --git a/testcases/verification/list-algorithms/MergeSort.scala b/testcases/verification/list-algorithms/MergeSort.scala
index 5fc80d117..4b494b62d 100644
--- a/testcases/verification/list-algorithms/MergeSort.scala
+++ b/testcases/verification/list-algorithms/MergeSort.scala
@@ -1,5 +1,6 @@
-import leon.lang._
-import leon.annotation._
+import leon._
+import lang._
+import annotation._
 
 object MergeSort {
   sealed abstract class List
-- 
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