From 915ebc6f18754f703a01d18c2e144cf64d6d7fec Mon Sep 17 00:00:00 2001 From: Manos Koukoutos <emmanouil.koukoutos@epfl.ch> Date: Mon, 30 Mar 2015 16:22:23 +0200 Subject: [PATCH] Remove unhandled tests for now --- .../newsolvers/valid/Anonymous.scala | 9 - .../newsolvers/valid/Closures.scala | 15 -- .../newsolvers/valid/Closures2.scala | 35 --- .../newsolvers/valid/FlatMap.scala | 48 ---- .../newsolvers/valid/FoldAssociative.scala | 101 --------- .../newsolvers/valid/HOInvocations.scala | 17 -- .../newsolvers/valid/Lambdas.scala | 15 -- .../newsolvers/valid/Lists1.scala | 30 --- .../newsolvers/valid/Lists2.scala | 49 ----- .../newsolvers/valid/Lists3.scala | 34 --- .../newsolvers/valid/Lists4.scala | 26 --- .../newsolvers/valid/Lists5.scala | 32 --- .../newsolvers/valid/Lists6.scala | 22 -- .../newsolvers/valid/Monads1.scala | 24 -- .../newsolvers/valid/Monads2.scala | 47 ---- .../newsolvers/valid/Monads3.scala | 77 ------- .../newsolvers/valid/ParBalance.scala | 206 ------------------ .../verification/newsolvers/valid/Sets1.scala | 23 -- .../verification/newsolvers/valid/Sets2.scala | 23 -- .../newsolvers/valid/Trees1.scala | 23 -- 20 files changed, 856 deletions(-) delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Anonymous.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Closures.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Closures2.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/FlatMap.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/FoldAssociative.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/HOInvocations.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lambdas.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists1.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists2.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists3.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists4.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists5.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Lists6.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Monads1.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Monads2.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Monads3.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/ParBalance.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Sets1.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Sets2.scala delete mode 100644 src/test/resources/regression/verification/newsolvers/valid/Trees1.scala diff --git a/src/test/resources/regression/verification/newsolvers/valid/Anonymous.scala b/src/test/resources/regression/verification/newsolvers/valid/Anonymous.scala deleted file mode 100644 index d69b1f842..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Anonymous.scala +++ /dev/null @@ -1,9 +0,0 @@ -import leon.lang._ - -object Anonymous { - def test(x: BigInt) = { - require(x > 0) - val i = (a: BigInt) => a + 1 - i(x) + i(2) - } ensuring { res => res > 0 } -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Closures.scala b/src/test/resources/regression/verification/newsolvers/valid/Closures.scala deleted file mode 100644 index 5e191cf81..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Closures.scala +++ /dev/null @@ -1,15 +0,0 @@ -import leon.lang._ - -object Closures { - def addX(x: Int): Int => Int = { - (a: Int) => a + x - } - - def test(x: Int): Boolean = { - val add1 = addX(1) - val add2 = addX(2) - add1(add2(1)) == 4 - }.holds -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Closures2.scala b/src/test/resources/regression/verification/newsolvers/valid/Closures2.scala deleted file mode 100644 index b791965d1..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Closures2.scala +++ /dev/null @@ -1,35 +0,0 @@ -import leon.lang._ - -object Closures2 { - def set(i: Int): Int => Boolean = x => x == i - - def union(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) || s2(x) - - def intersection(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) && s2(x) - - def diff(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) && !s2(x) - - def set123(): Int => Boolean = union(set(1), union(set(2), set(3))) - - def test1(): Boolean = { - val s1 = set123() - val s2 = union(s1, set(4)) - s2(1) && s2(2) && s2(3) && s2(4) - }.holds - - def test2(): Boolean = { - val s1 = set123() - val s2 = intersection(s1, union(set(1), set(3))) - val s3 = diff(s1, s2) - s3(2) && !s3(1) && !s3(3) - }.holds - - def test3(): Boolean = { - val s1 = set123() - val s2 = set123() - val s3 = union(s1, s2) - s3(1) && s3(2) && s3(3) - }.holds -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/FlatMap.scala b/src/test/resources/regression/verification/newsolvers/valid/FlatMap.scala deleted file mode 100644 index 56f8c47e8..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/FlatMap.scala +++ /dev/null @@ -1,48 +0,0 @@ -import leon.lang._ -import leon.collection._ - -object FlatMap { - - def append[T](l1: List[T], l2: List[T]): List[T] = l1 match { - case Cons(head, tail) => Cons(head, append(tail, l2)) - case Nil() => l2 - } - - def associative_append_lemma[T](l1: List[T], l2: List[T], l3: List[T]): Boolean = { - append(append(l1, l2), l3) == append(l1, append(l2, l3)) - } - - def associative_append_lemma_induct[T](l1: List[T], l2: List[T], l3: List[T]): Boolean = { - l1 match { - case Nil() => associative_append_lemma(l1, l2, l3) - case Cons(head, tail) => associative_append_lemma(l1, l2, l3) && associative_append_lemma_induct(tail, l2, l3) - } - }.holds - - def flatMap[T,U](list: List[T], f: T => List[U]): List[U] = list match { - case Cons(head, tail) => append(f(head), flatMap(tail, f)) - case Nil() => Nil() - } - - def associative_lemma[T,U,V](list: List[T], f: T => List[U], g: U => List[V]): Boolean = { - flatMap(flatMap(list, f), g) == flatMap(list, (x: T) => flatMap(f(x), g)) - } - - def associative_lemma_induct[T,U,V](list: List[T], flist: List[U], glist: List[V], f: T => List[U], g: U => List[V]): Boolean = { - associative_lemma(list, f, g) && - append(glist, flatMap(append(flist, flatMap(list, f)), g)) == append(append(glist, flatMap(flist, g)), flatMap(list, (x: T) => flatMap(f(x), g))) && - (glist match { - case Cons(ghead, gtail) => - associative_lemma_induct(list, flist, gtail, f, g) - case Nil() => flist match { - case Cons(fhead, ftail) => - associative_lemma_induct(list, ftail, g(fhead), f, g) - case Nil() => list match { - case Cons(head, tail) => associative_lemma_induct(tail, f(head), Nil(), f, g) - case Nil() => true - } - } - }) - }.holds - -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/FoldAssociative.scala b/src/test/resources/regression/verification/newsolvers/valid/FoldAssociative.scala deleted file mode 100644 index 261d15c0f..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/FoldAssociative.scala +++ /dev/null @@ -1,101 +0,0 @@ -import leon._ -import leon.lang._ - -object FoldAssociative { - - sealed abstract class List - case class Cons(head: Int, tail: List) extends List - case class Nil() extends List - - sealed abstract class Option - case class Some(x: Int) extends Option - case class None() extends Option - - def foldRight[A](list: List, state: A, f: (Int, A) => A): A = list match { - case Cons(head, tail) => - val tailState = foldRight(tail, state, f) - f(head, tailState) - case Nil() => state - } - - def take(list: List, count: Int): List = { - require(count >= 0) - list match { - case Cons(head, tail) if count > 0 => Cons(head, take(tail, count - 1)) - case _ => Nil() - } - } - - def drop(list: List, count: Int): List = { - require(count >= 0) - list match { - case Cons(head, tail) if count > 0 => drop(tail, count - 1) - case _ => list - } - } - - def append(l1: List, l2: List): List = { - l1 match { - case Cons(head, tail) => Cons(head, append(tail, l2)) - case Nil() => l2 - } - } - - def lemma_split(list: List, x: Int): Boolean = { - require(x >= 0) - val f = (x: Int, s: Int) => x + s - val l1 = take(list, x) - val l2 = drop(list, x) - foldRight(list, 0, f) == foldRight(l1, foldRight(l2, 0, f), f) - } - - def lemma_split_induct(list: List, x: Int): Boolean = { - require(x >= 0) - val f = (x: Int, s: Int) => x + s - val l1 = take(list, x) - val l2 = drop(list, x) - lemma_split(list, x) && (list match { - case Cons(head, tail) if x > 0 => - lemma_split_induct(tail, x - 1) - case _ => true - }) - }.holds - - def lemma_reassociative(list: List, x: Int): Boolean = { - require(x >= 0) - val f = (x: Int, s: Int) => x + s - val l1 = take(list, x) - val l2 = drop(list, x) - - foldRight(list, 0, f) == foldRight(l1, 0, f) + foldRight(l2, 0, f) - } - - def lemma_reassociative_induct(list: List, x: Int): Boolean = { - require(x >= 0) - val f = (x: Int, s: Int) => x + s - val l1 = take(list, x) - val l2 = drop(list, x) - lemma_reassociative(list, x) && (list match { - case Cons(head, tail) if x > 0 => - lemma_reassociative_induct(tail, x - 1) - case _ => true - }) - }.holds - - def lemma_reassociative_presplit(l1: List, l2: List): Boolean = { - val f = (x: Int, s: Int) => x + s - val list = append(l1, l2) - foldRight(list, 0, f) == foldRight(l1, 0, f) + foldRight(l2, 0, f) - } - - def lemma_reassociative_presplit_induct(l1: List, l2: List): Boolean = { - val f = (x: Int, s: Int) => x + s - val list = append(l1, l2) - lemma_reassociative_presplit(l1, l2) && (l1 match { - case Cons(head, tail) => - lemma_reassociative_presplit_induct(tail, l2) - case Nil() => true - }) - }.holds - -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/HOInvocations.scala b/src/test/resources/regression/verification/newsolvers/valid/HOInvocations.scala deleted file mode 100644 index 0f2fbda2f..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/HOInvocations.scala +++ /dev/null @@ -1,17 +0,0 @@ -import leon.lang._ - -object HOInvocations { - def switch(x: Int, f: (Int) => Int, g: (Int) => Int) = if(x > 0) f else g - - def passing_1(f: (Int) => Int) = { - switch(10, (x: Int) => x + 1, f)(2) - } ensuring { res => res > 0 } - - def passing_2(x: Int, f: (Int) => Int, g: (Int) => Int) = { - require(x > 0) - switch(1, switch(x, f, g), g)(1) - } ensuring { res => res == f(1) } - -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lambdas.scala b/src/test/resources/regression/verification/newsolvers/valid/Lambdas.scala deleted file mode 100644 index 36ae0c7ad..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lambdas.scala +++ /dev/null @@ -1,15 +0,0 @@ -import leon.lang._ - -object Lambdas { - def gen(x: Int): (Int) => Int = { - val f = (x: Int) => x + 1 - val g = (x: Int) => x + 2 - if (x > 0) g else f - } - - def test(x: Int): Boolean = { - require(x > 0) - val f = gen(x) - f(x) == x + 2 - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists1.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists1.scala deleted file mode 100644 index 719c3d236..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists1.scala +++ /dev/null @@ -1,30 +0,0 @@ -import leon.lang._ -import leon.collection._ -import leon.annotation._ - -object Lists1 { - - def exists[T](list: List[T], f: T => Boolean): Boolean = list match { - case Cons(head, tail) => f(head) || exists(tail, f) - case Nil() => false - } - - def forall[T](list: List[T], f: T => Boolean): Boolean = list match { - case Cons(head, tail) => f(head) && forall(tail, f) - case Nil() => true - } - - def exists_lemma[T](list: List[T], f: T => Boolean): Boolean = { - exists(list, f) == !forall(list, (x: T) => !f(x)) - } - - def exists_lemma_induct[T](list: List[T], f: T => Boolean): Boolean = { - list match { - case Nil() => exists_lemma(list, f) - case Cons(head, tail) => exists_lemma(list, f) && exists_lemma_induct(tail, f) - } - }.holds - -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists2.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists2.scala deleted file mode 100644 index 654046ba0..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists2.scala +++ /dev/null @@ -1,49 +0,0 @@ -import leon.lang._ - -object Lists2 { - abstract class List[T] - case class Cons[T](head: T, tail: List[T]) extends List[T] - case class Nil[T]() extends List[T] - - def forall[T](list: List[T], f: T => Boolean): Boolean = list match { - case Cons(head, tail) => f(head) && forall(tail, f) - case Nil() => true - } - - def positive(list: List[Int]): Boolean = list match { - case Cons(head, tail) => if (head < 0) false else positive(tail) - case Nil() => true - } - - def positive_lemma(list: List[Int]): Boolean = { - positive(list) == forall(list, (x: Int) => x >= 0) - } - - def positive_lemma_induct(list: List[Int]): Boolean = { - list match { - case Nil() => positive_lemma(list) - case Cons(head, tail) => positive_lemma(list) && positive_lemma_induct(tail) - } - }.holds - - def remove[T](list: List[T], e: T) : List[T] = { - list match { - case Nil() => Nil() - case Cons(x, xs) if x == e => remove(xs, e) - case Cons(x, xs) => Cons(x, remove(xs, e)) - } - } //ensuring { (res: List[T]) => forall(res, (x : T) => x != e) } - - def remove_lemma[T](list: List[T], e: T): Boolean = { - forall(remove(list, e), (x : T) => x != e) - } - - def remove_lemma_induct[T](list: List[T], e: T): Boolean = { - list match { - case Nil() => remove_lemma(list, e) - case Cons(head, tail) => remove_lemma(list, e) && remove_lemma_induct(tail, e) - } - }.holds -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists3.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists3.scala deleted file mode 100644 index 67060133a..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists3.scala +++ /dev/null @@ -1,34 +0,0 @@ -import leon.lang._ - -object Lists3 { - abstract class List[T] - case class Cons[T](head: T, tail: List[T]) extends List[T] - case class Nil[T]() extends List[T] - - def forall[T](list: List[T], f: T => Boolean): Boolean = list match { - case Cons(head, tail) => f(head) && forall(tail, f) - case Nil() => true - } - - def positive(list: List[Int]): Boolean = list match { - case Cons(head, tail) => if (head < 0) false else positive(tail) - case Nil() => true - } - - def gt(i: Int): Int => Boolean = x => x > i - - def gte(i: Int): Int => Boolean = x => gt(i)(x) || x == i - - def positive_lemma(list: List[Int]): Boolean = { - positive(list) == forall(list, gte(0)) - } - - def positive_lemma_induct(list: List[Int]): Boolean = { - list match { - case Nil() => positive_lemma(list) - case Cons(head, tail) => positive_lemma(list) && positive_lemma_induct(tail) - } - }.holds -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists4.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists4.scala deleted file mode 100644 index 02c24111d..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists4.scala +++ /dev/null @@ -1,26 +0,0 @@ -import leon.lang._ - -object Lists4 { - abstract class List[T] - case class Cons[T](head: T, tail: List[T]) extends List[T] - case class Nil[T]() extends List[T] - - def map[F,T](list: List[F], f: F => T): List[T] = list match { - case Cons(head, tail) => Cons(f(head), map(tail, f)) - case Nil() => Nil() - } - - def map_lemma[A,B,C](list: List[A], f: A => B, g: B => C): Boolean = { - map(list, (x: A) => g(f(x))) == map(map(list, f), g) - } - - def map_lemma_induct[D,E,F](list: List[D], f: D => E, g: E => F): Boolean = { - list match { - case Nil() => map_lemma(list, f, g) - case Cons(head, tail) => map_lemma(list, f, g) && map_lemma_induct(tail, f, g) - } - }.holds - -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists5.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists5.scala deleted file mode 100644 index 51ff810c6..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists5.scala +++ /dev/null @@ -1,32 +0,0 @@ -import leon.lang._ -import leon.collection._ - -object Lists5 { - abstract class Option[T] - case class Some[T](value: T) extends Option[T] - case class None[T]() extends Option[T] - - def find[T](f: T => Boolean, list: List[T]): Option[T] = list match { - case Cons(head, tail) => if (f(head)) Some(head) else find(f, tail) - case Nil() => None() - } - - def exists[T](f: T => Boolean, list: List[T]): Boolean = list match { - case Cons(head, tail) => f(head) || exists(f, tail) - case Nil() => false - } - - def equivalence_lemma[T](f: T => Boolean, list: List[T]): Boolean = { - find(f, list) match { - case Some(e) => exists(f, list) - case None() => !exists(f, list) - } - } - - def equivalence_lemma_induct[T](f: T => Boolean, list: List[T]): Boolean = { - list match { - case Cons(head, tail) => equivalence_lemma(f, list) && equivalence_lemma_induct(f, tail) - case Nil() => equivalence_lemma(f, list) - } - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Lists6.scala b/src/test/resources/regression/verification/newsolvers/valid/Lists6.scala deleted file mode 100644 index f70d523c7..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Lists6.scala +++ /dev/null @@ -1,22 +0,0 @@ -import leon.lang._ -import leon.collection._ - -object Lists6 { - def exists[T](list: List[T], f: T => Boolean): Boolean = { - list match { - case Cons(head, tail) => f(head) || exists(tail, f) - case Nil() => false - } - } - - def associative_lemma[T](list: List[T], f: T => Boolean, g: T => Boolean): Boolean = { - exists(list, (x: T) => f(x) || g(x)) == (exists(list, f) || exists(list, g)) - } - - def associative_lemma_induct[T](list: List[T], f: T => Boolean, g: T => Boolean): Boolean = { - associative_lemma(list, f, g) && (list match { - case Cons(head, tail) => associative_lemma_induct(tail, f, g) - case Nil() => true - }) - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Monads1.scala b/src/test/resources/regression/verification/newsolvers/valid/Monads1.scala deleted file mode 100644 index da9cd6cec..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Monads1.scala +++ /dev/null @@ -1,24 +0,0 @@ -import leon.lang._ - -object Monads1 { - abstract class Try[T] - case class Success[T](value: T) extends Try[T] - case class Failure[T](error: Int) extends Try[T] - - def flatMap[T,U](t: Try[T], f: T => Try[U]): Try[U] = t match { - case Success(value) => f(value) - case fail @ Failure(error) => Failure(error) - } - - def associative_law[T,U,V](t: Try[T], f: T => Try[U], g: U => Try[V]): Boolean = { - flatMap(flatMap(t, f), g) == flatMap(t, (x: T) => flatMap(f(x), g)) - }.holds - - def left_unit_law[T,U](x: T, f: T => Try[U]): Boolean = { - flatMap(Success(x), f) == f(x) - }.holds - - def right_unit_law[T,U](t: Try[T]): Boolean = { - flatMap(t, (x: T) => Success(x)) == t - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Monads2.scala b/src/test/resources/regression/verification/newsolvers/valid/Monads2.scala deleted file mode 100644 index f89b2b7f7..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Monads2.scala +++ /dev/null @@ -1,47 +0,0 @@ -import leon.lang._ - -object Monads2 { - abstract class Option[T] - case class Some[T](t: T) extends Option[T] - case class None[T]() extends Option[T] - - def flatMap[T,U](opt: Option[T], f: T => Option[U]): Option[U] = opt match { - case Some(x) => f(x) - case None() => None() - } - - def add[T](o1: Option[T], o2: Option[T]): Option[T] = o1 match { - case Some(x) => o1 - case None() => o2 - } - - def associative_law[T,U,V](opt: Option[T], f: T => Option[U], g: U => Option[V]): Boolean = { - flatMap(flatMap(opt, f), g) == flatMap(opt, (x: T) => flatMap(f(x), g)) - }.holds - - def left_unit_law[T,U](x: T, f: T => Option[U]): Boolean = { - flatMap(Some(x), f) == f(x) - }.holds - - def right_unit_law[T,U](opt: Option[T]): Boolean = { - flatMap(opt, (x: T) => Some(x)) == opt - }.holds - - def flatMap_zero_law[T,U](none: None[T], f: T => Option[U]): Boolean = { - flatMap(none, f) == None[U]() - }.holds - - def flatMap_to_zero_law[T,U](opt: Option[T]): Boolean = { - flatMap(opt, (x: T) => None[U]()) == None[U]() - }.holds - - def add_zero_law[T](opt: Option[T]): Boolean = { - add(opt, None[T]()) == opt - }.holds - - def zero_add_law[T](opt: Option[T]): Boolean = { - add(None[T](), opt) == opt - }.holds -} - -// vim: set ts=4 sw=4 et: diff --git a/src/test/resources/regression/verification/newsolvers/valid/Monads3.scala b/src/test/resources/regression/verification/newsolvers/valid/Monads3.scala deleted file mode 100644 index f1c199970..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Monads3.scala +++ /dev/null @@ -1,77 +0,0 @@ -import leon.lang._ -import leon.collection._ - -object Monads3 { - - def append[T](l1: List[T], l2: List[T]): List[T] = { - l1 match { - case Cons(head, tail) => Cons(head, append(tail, l2)) - case Nil() => l2 - } - } ensuring { res => (res == l1) || (l2 != Nil[T]()) } - - def flatMap[T,U](list: List[T], f: T => List[U]): List[U] = list match { - case Cons(head, tail) => append(f(head), flatMap(tail, f)) - case Nil() => Nil() - } - - def associative_lemma[T,U,V](list: List[T], f: T => List[U], g: U => List[V]): Boolean = { - flatMap(flatMap(list, f), g) == flatMap(list, (x: T) => flatMap(f(x), g)) - } - - def associative_lemma_induct[T,U,V](list: List[T], flist: List[U], glist: List[V], f: T => List[U], g: U => List[V]): Boolean = { - associative_lemma(list, f, g) && - append(glist, flatMap(append(flist, flatMap(list, f)), g)) == append(append(glist, flatMap(flist, g)), flatMap(list, (x: T) => flatMap(f(x), g))) && - (glist match { - case Cons(ghead, gtail) => - associative_lemma_induct(list, flist, gtail, f, g) - case Nil() => flist match { - case Cons(fhead, ftail) => - associative_lemma_induct(list, ftail, g(fhead), f, g) - case Nil() => list match { - case Cons(head, tail) => associative_lemma_induct(tail, f(head), Nil(), f, g) - case Nil() => true - } - } - }) - }.holds - - def left_unit_law[T,U](x: T, f: T => List[U]): Boolean = { - flatMap(Cons(x, Nil()), f) == f(x) - }.holds - - def right_unit_law[T](list: List[T]): Boolean = { - flatMap(list, (x: T) => Cons(x, Nil())) == list - } - - def right_unit_induct[T,U](list: List[T]): Boolean = { - right_unit_law(list) && (list match { - case Cons(head, tail) => right_unit_induct(tail) - case Nil() => true - }) - }.holds - - def flatMap_zero_law[T,U](f: T => List[U]): Boolean = { - flatMap(Nil[T](), f) == Nil[U]() - }.holds - - def flatMap_to_zero_law[T](list: List[T]): Boolean = { - flatMap(list, (x: T) => Nil[T]()) == Nil[T]() - } - - def flatMap_to_zero_induct[T,U](list: List[T]): Boolean = { - flatMap_to_zero_law(list) && (list match { - case Cons(head, tail) => flatMap_to_zero_induct(tail) - case Nil() => true - }) - }.holds - - def add_zero_law[T](list: List[T]): Boolean = { - append(list, Nil()) == list - }.holds - - def zero_add_law[T](list: List[T]): Boolean = { - append(Nil(), list) == list - }.holds - -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/ParBalance.scala b/src/test/resources/regression/verification/newsolvers/valid/ParBalance.scala deleted file mode 100644 index 6943d3268..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/ParBalance.scala +++ /dev/null @@ -1,206 +0,0 @@ -import leon._ -import leon.lang._ - -object ParBalance { - - sealed abstract class List - case class Cons(head: BigInt, tail: List) extends List - case class Nil() extends List - - sealed abstract class Option - case class Some(x: BigInt) extends Option - case class None() extends Option - - val openPar : BigInt = BigInt(1) - val closePar : BigInt = BigInt(2) - - def balanced(list: List, counter: BigInt): Boolean = { - if (counter < 0) false else list match { - case Cons(head, tail) => - val c = if (head == openPar) counter + 1 - else if (head == closePar) counter - 1 - else counter - balanced(tail, c) - case Nil() => counter == 0 - } - } - - def balanced_nonEarly(list: List, counter: BigInt): Boolean = { - list match { - case Cons(head, tail) => - if (counter < 0) balanced_nonEarly(tail, counter) else { - val c = if (head == openPar) counter + 1 - else if (head == closePar) counter - 1 - else counter - balanced_nonEarly(tail, c) - } - case Nil() => counter == 0 - } - } ensuring { res => res == balanced(list, counter) } - - def balanced_withFailure(list: List, counter: BigInt, failed: Boolean): Boolean = { - require(counter >= 0 || failed) - list match { - case Cons(head, tail) => - val c = if (head == openPar) counter + 1 - else if (head == closePar) counter - 1 - else counter - balanced_withFailure(tail, c, failed || c < 0) - case Nil() => !failed && counter == 0 - } - } ensuring { res => - if (failed) { - res == balanced_nonEarly(list, -1) - } else { - res == balanced_nonEarly(list, counter) - } - } - - def balanced_withReduce(list: List, p: (BigInt, BigInt)): Boolean = { - require(p._1 >= 0 && p._2 >= 0) - list match { - case Cons(head, tail) => - val p2 = reduce(p, parPair(head)) - balanced_withReduce(tail, p2) - case Nil() => - p._1 == 0 && p._2 == 0 - } - } ensuring { res => res == balanced_withFailure(list, p._1 - p._2, p._2 > 0) } - - def balanced_foldLeft_equivalence(list: List, p: (BigInt, BigInt)): Boolean = { - require(p._1 >= 0 && p._2 >= 0) - val f = (s: (BigInt, BigInt), x: BigInt) => reduce(s, parPair(x)) - (foldLeft(list, p, f) == (BigInt(0), BigInt(0))) == balanced_withReduce(list, p) && (list match { - case Cons(head, tail) => - val p2 = f(p, head) - balanced_foldLeft_equivalence(tail, p2) - case Nil() => true - }) - }.holds - - def foldRight[A](list: List, state: A, f: (BigInt, A) => A): A = list match { - case Cons(head, tail) => - val tailState = foldRight(tail, state, f) - f(head, tailState) - case Nil() => state - } - - def foldLeft[A](list: List, state: A, f: (A, BigInt) => A): A = list match { - case Cons(head, tail) => - val nextState = f(state, head) - foldLeft(tail, nextState, f) - case Nil() => state - } - - def reduce(p1: (BigInt, BigInt), p2: (BigInt, BigInt)): (BigInt, BigInt) = { - if (p1._1 >= p2._2) { - (p1._1 - p2._2 + p2._1, p1._2) - } else { - (p2._1, p2._2 - p1._1 + p1._2) - } - } - - def reduce_associative(p1: (BigInt, BigInt), p2: (BigInt, BigInt), p3: (BigInt, BigInt)): Boolean = { - reduce(p1, reduce(p2, p3)) == reduce(reduce(p1, p2), p3) - }.holds - - def swap(p: (BigInt, BigInt)): (BigInt, BigInt) = (p._2, p._1) - - def reduce_inverse(p1: (BigInt, BigInt), p2: (BigInt, BigInt)): Boolean = { - reduce(p1, p2) == swap(reduce(swap(p2), swap(p1))) - }.holds - - def reduce_associative_inverse(p1: (BigInt, BigInt), p2: (BigInt, BigInt), p3: (BigInt, BigInt)): Boolean = { - reduce(p1, reduce(p2, p3)) == swap(reduce(reduce(swap(p3), swap(p2)), swap(p1))) - }.holds - - def reduce_associative_inverse2(p1: (BigInt, BigInt), p2: (BigInt, BigInt), p3: (BigInt, BigInt)): Boolean = { - reduce(reduce(p1, p2), p3) == swap(reduce(swap(p3), reduce(swap(p2), swap(p1)))) - }.holds - - def parPair(x: BigInt): (BigInt, BigInt) = { - if (x == openPar) (1, 0) else if (x == closePar) (0, 1) else (0, 0) - } - - def headOption(list: List): Option = list match { - case Cons(head, tail) => Some(head) - case Nil() => None() - } - - def lastOption(list: List): Option = list match { - case Cons(head, Nil()) => Some(head) - case Cons(head, tail) => lastOption(tail) - case Nil() => None() - } - - def init(list: List): List = list match { - case Cons(head, Nil()) => Nil() - case Cons(head, tail) => Cons(head, init(tail)) - case Nil() => Nil() - } - - def tail(list: List): List = list match { - case Cons(head, tail) => tail - case Nil() => Nil() - } - - def addLast(list: List, x: BigInt): List = { - list match { - case Cons(head, tail) => Cons(head, addLast(tail, x)) - case Nil() => Cons(x, Nil()) - } - } ensuring { res => lastOption(res) == Some(x) && init(res) == list } - - def reverse(list: List): List = { - list match { - case Cons(head, tail) => addLast(reverse(tail), head) - case Nil() => Nil() - } - } ensuring { res => - lastOption(res) == headOption(list) && - lastOption(list) == headOption(res) - } - - def reverse_tail_equivalence(list: List): Boolean = { - reverse(tail(list)) == init(reverse(list)) - }.holds - - def reverse_init_equivalence(list: List): Boolean = { - reverse(init(list)) == tail(reverse(list)) && (list match { - case Cons(head, tail) => reverse_init_equivalence(tail) - case Nil() => true - }) - }.holds - - def reverse_equality_equivalence(l1: List, l2: List): Boolean = { - (l1 == l2) == (reverse(l1) == reverse(l2)) && ((l1, l2) match { - case (Cons(h1, t1), Cons(h2, t2)) => reverse_equality_equivalence(t1, t2) - case _ => true - }) - }.holds - - def reverse_reverse_equivalence(list: List): Boolean = { - reverse(reverse(list)) == list && ((list, reverse(list)) match { - case (Cons(h1, t1), Cons(h2, t2)) => - reverse_reverse_equivalence(t1) && reverse_reverse_equivalence(t2) - case _ => true - }) - }.holds - - /* - def fold_equivalence(list: List): Boolean = { - val s = (0, 0) - val fl = (s: (BigInt, BigInt), x: BigInt) => reduce(s, parPair(x)) - val fr = (x: BigInt, s: (BigInt, BigInt)) => reduce(parPair(x), s) - - foldLeft(list, s, fl) == foldRight(list, s, fr) - }.holds - - def lemma(list: List): Boolean = { - val f = (x: BigInt, s: (BigInt, BigInt)) => reduce(parPair(x), s) - fold_equivalence(list) && balanced_foldLeft_equivalence(list, (0, 0)) && - (foldRight(list, (0, 0), f) == (0, 0)) == balanced(list, 0) - }.holds - */ - -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Sets1.scala b/src/test/resources/regression/verification/newsolvers/valid/Sets1.scala deleted file mode 100644 index 4cfca4890..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Sets1.scala +++ /dev/null @@ -1,23 +0,0 @@ -import leon.lang._ - -object Sets1 { - def set(i: Int): Int => Boolean = x => x == i - - def complement(s: Int => Boolean): Int => Boolean = x => !s(x) - - def union(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) || s2(x) - - def intersection(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) && s2(x) - - def de_morgan_1(s1: Int => Boolean, s2: Int => Boolean, x: Int): Boolean = { - val u1 = union(s1, s2) - val u2 = complement(intersection(complement(s1), complement(s2))) - u1(x) == u2(x) - }.holds - - def de_morgan_2(s1: Int => Boolean, s2: Int => Boolean, x: Int): Boolean = { - val u1 = intersection(s1, s2) - val u2 = complement(union(complement(s1), complement(s2))) - u1(x) == u2(x) - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Sets2.scala b/src/test/resources/regression/verification/newsolvers/valid/Sets2.scala deleted file mode 100644 index 244f5bebf..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Sets2.scala +++ /dev/null @@ -1,23 +0,0 @@ -import leon.lang._ - -object Sets2 { - def set(i: Int): Int => Boolean = x => x == i - - def complement(s: Int => Boolean): Int => Boolean = x => !s(x) - - def union(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) || s2(x) - - def intersection(s1: Int => Boolean, s2: Int => Boolean): Int => Boolean = x => s1(x) && s2(x) - - def union_associativity(sa1: Int => Boolean, sa2: Int => Boolean, sa3: Int => Boolean, x: Int): Boolean = { - val u1 = union(union(sa1, sa2), sa3) - val u2 = union(sa1, union(sa2, sa3)) - u1(x) == u2(x) - }.holds - - def intersection_associativity(sa1: Int => Boolean, sa2: Int => Boolean, sa3: Int => Boolean, x: Int): Boolean = { - val u1 = intersection(intersection(sa1, sa2), sa3) - val u2 = intersection(sa1, intersection(sa2, sa3)) - u1(x) == u2(x) - }.holds -} diff --git a/src/test/resources/regression/verification/newsolvers/valid/Trees1.scala b/src/test/resources/regression/verification/newsolvers/valid/Trees1.scala deleted file mode 100644 index 4c01ae06e..000000000 --- a/src/test/resources/regression/verification/newsolvers/valid/Trees1.scala +++ /dev/null @@ -1,23 +0,0 @@ -import leon.lang._ - -object Trees1 { - abstract class Tree[T] - case class Node[T](left: Tree[T], right: Tree[T]) extends Tree[T] - case class Leaf[T](value: T) extends Tree[T] - - def map[T,U](tree: Tree[T], f: T => U): Tree[U] = tree match { - case Node(left, right) => Node(map(left, f), map(right, f)) - case Leaf(value) => Leaf(f(value)) - } - - def associative_lemma[T,U,V](tree: Tree[T], f: T => U, g: U => V): Boolean = { - map(map(tree, f), g) == map(tree, (x: T) => g(f(x))) - } - - def associative_lemma_induct[T,U,V](tree: Tree[T], f: T => U, g: U => V): Boolean = { - tree match { - case Node(left, right) => associative_lemma_induct(left, f, g) && associative_lemma_induct(right, f, g) && associative_lemma(tree, f, g) - case Leaf(value) => associative_lemma(tree, f, g) - } - }.holds -} -- GitLab