diff options
Diffstat (limited to 'Test/dafny2')
-rw-r--r-- | Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy | 9 | ||||
-rw-r--r-- | Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy.expect | 2 | ||||
-rw-r--r-- | Test/dafny2/COST-verif-comp-2011-3-TwoDuplicates.dfy | 4 | ||||
-rw-r--r-- | Test/dafny2/COST-verif-comp-2011-4-FloydCycleDetect.dfy | 4 | ||||
-rw-r--r-- | Test/dafny2/Calculations.dfy | 24 | ||||
-rw-r--r-- | Test/dafny2/MajorityVote.dfy | 4 | ||||
-rw-r--r-- | Test/dafny2/SnapshotableTrees.dfy | 2 | ||||
-rw-r--r-- | Test/dafny2/SnapshotableTrees.dfy.expect | 13 |
8 files changed, 39 insertions, 23 deletions
diff --git a/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy b/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy index c752bd38..f691384c 100644 --- a/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy +++ b/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy @@ -117,6 +117,11 @@ class Tree { Repr := lft.Repr + {this} + rgt.Repr;
}
+ lemma exists_intro<T>(P: T -> bool, x: T)
+ requires P.requires(x)
+ requires P(x)
+ ensures exists y :: P.requires(y) && P(y) { }
+
method ComputeMax() returns (mx: int)
requires Valid() && !IsEmpty();
ensures forall x :: x in Contents ==> x <= mx;
@@ -124,13 +129,17 @@ class Tree { decreases Repr;
{
mx := value;
+
if (!left.IsEmpty()) {
var m := left.ComputeMax();
mx := if mx < m then m else mx;
}
+
if (!right.IsEmpty()) {
var m := right.ComputeMax();
mx := if mx < m then m else mx;
}
+
+ exists_intro(x reads this => x in Contents && x == mx, mx);
}
}
diff --git a/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy.expect b/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy.expect index 42fd56a5..c87e2af2 100644 --- a/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy.expect +++ b/Test/dafny2/COST-verif-comp-2011-2-MaxTree-class.dfy.expect @@ -1,2 +1,2 @@ -Dafny program verifier finished with 8 verified, 0 errors
+Dafny program verifier finished with 10 verified, 0 errors
diff --git a/Test/dafny2/COST-verif-comp-2011-3-TwoDuplicates.dfy b/Test/dafny2/COST-verif-comp-2011-3-TwoDuplicates.dfy index 72a22cfd..4c702674 100644 --- a/Test/dafny2/COST-verif-comp-2011-3-TwoDuplicates.dfy +++ b/Test/dafny2/COST-verif-comp-2011-3-TwoDuplicates.dfy @@ -93,8 +93,8 @@ method Search(a: array<int>) returns (p: int, q: int) invariant forall j :: 0 <= j < d.Length ==>
(d[j] == -1 && forall k :: 0 <= k < i ==> a[k] != j) ||
(0 <= d[j] < i && a[d[j]] == j);
- invariant p == q ==> IsDuplicate(a, p);
- invariant forall k :: 0 <= k < i && IsPrefixDuplicate(a, i, a[k]) ==> p == q == a[k];
+ invariant p == q ==> IsDuplicate(a, p); //WISH remove the trigger on the next line
+ invariant forall k {:trigger old(a[k])} :: 0 <= k < i && IsPrefixDuplicate(a, i, a[k]) ==> p == q == a[k];
decreases a.Length - i;
{
var k := d[a[i]];
diff --git a/Test/dafny2/COST-verif-comp-2011-4-FloydCycleDetect.dfy b/Test/dafny2/COST-verif-comp-2011-4-FloydCycleDetect.dfy index 2aa14db7..72250f99 100644 --- a/Test/dafny2/COST-verif-comp-2011-4-FloydCycleDetect.dfy +++ b/Test/dafny2/COST-verif-comp-2011-4-FloydCycleDetect.dfy @@ -164,7 +164,7 @@ class Node { invariant 0 <= t < h && Nexxxt(t, S) == tortoise && Nexxxt(h, S) == hare;
// What follows of the invariant is for proving termination:
invariant h == 1 + 2*t && t <= A + B;
- invariant forall k :: 0 <= k < t ==> Nexxxt(k, S) != Nexxxt(1+2*k, S);
+ invariant forall k {:nowarn} :: 0 <= k < t ==> Nexxxt(k, S) != Nexxxt(1+2*k, S);
decreases A + B - t;
{
if hare == null || hare.next == null {
@@ -225,7 +225,7 @@ class Node { requires 0 <= a && 1 <= b;
requires forall k,l :: 0 <= k < l < a ==> Nexxxt(k, S) != Nexxxt(l, S);
requires Nexxxt(a, S) == null || Nexxxt(a, S).Nexxxt(b, S) == Nexxxt(a, S);
- ensures exists T :: 0 <= T < a+b && Nexxxt(T, S) == Nexxxt(1+2*T, S);
+ ensures exists T {:nowarn} :: 0 <= T < a+b && Nexxxt(T, S) == Nexxxt(1+2*T, S);
{
if Nexxxt(a, S) == null {
Lemma_NullIsTerminal(1+2*a, S);
diff --git a/Test/dafny2/Calculations.dfy b/Test/dafny2/Calculations.dfy index 8af0afe9..3870490f 100644 --- a/Test/dafny2/Calculations.dfy +++ b/Test/dafny2/Calculations.dfy @@ -41,12 +41,12 @@ function qreverse(l: List): List // Here are two lemmas about the List functions.
-ghost method Lemma_ConcatNil(xs : List)
+lemma Lemma_ConcatNil(xs : List)
ensures concat(xs, Nil) == xs;
{
}
-ghost method Lemma_RevCatCommute(xs : List)
+lemma Lemma_RevCatCommute(xs : List)
ensures forall ys, zs :: revacc(xs, concat(ys, zs)) == concat(revacc(xs, ys), zs);
{
}
@@ -55,7 +55,7 @@ ghost method Lemma_RevCatCommute(xs : List) // is given in a calculational style. The proof is not minimal--some lines can be omitted
// and Dafny will still fill in the details.
-ghost method Theorem_QReverseIsCorrect_Calc(l: List)
+lemma Theorem_QReverseIsCorrect_Calc(l: List)
ensures qreverse(l) == reverse(l);
{
calc {
@@ -69,7 +69,7 @@ ghost method Theorem_QReverseIsCorrect_Calc(l: List) }
}
-ghost method Lemma_Revacc_calc(xs: List, ys: List)
+lemma Lemma_Revacc_calc(xs: List, ys: List)
ensures revacc(xs, ys) == concat(reverse(xs), ys);
{
match (xs) {
@@ -93,7 +93,7 @@ ghost method Lemma_Revacc_calc(xs: List, ys: List) // Here is a version of the same proof, as it was constructed before Dafny's "calc" construct.
-ghost method Theorem_QReverseIsCorrect(l: List)
+lemma Theorem_QReverseIsCorrect(l: List)
ensures qreverse(l) == reverse(l);
{
assert qreverse(l)
@@ -105,7 +105,7 @@ ghost method Theorem_QReverseIsCorrect(l: List) Lemma_ConcatNil(reverse(l));
}
-ghost method Lemma_Revacc(xs: List, ys: List)
+lemma Lemma_Revacc(xs: List, ys: List)
ensures revacc(xs, ys) == concat(reverse(xs), ys);
{
match (xs) {
@@ -140,7 +140,7 @@ function Fib(n: nat): nat if n < 2 then n else Fib(n - 2) + Fib(n - 1)
}
-ghost method Lemma_Fib()
+lemma Lemma_Fib()
ensures Fib(5) < 6;
{
calc {
@@ -160,11 +160,11 @@ ghost method Lemma_Fib() /* List length */
// Here are some proofs that show the use of nested calculations.
-ghost method Lemma_Concat_Length(xs: List, ys: List)
+lemma Lemma_Concat_Length(xs: List, ys: List)
ensures length(concat(xs, ys)) == length(xs) + length(ys);
{}
-ghost method Lemma_Reverse_Length(xs: List)
+lemma Lemma_Reverse_Length(xs: List)
ensures length(xs) == length(reverse(xs));
{
match (xs) {
@@ -193,7 +193,7 @@ ghost method Lemma_Reverse_Length(xs: List) }
}
-ghost method Window(xs: List, ys: List)
+lemma Window(xs: List, ys: List)
ensures length(xs) == length(ys) ==> length(reverse(xs)) == length(reverse(ys));
{
calc {
@@ -221,11 +221,11 @@ function ith<a>(xs: List, i: nat): a case Cons(x, xrest) => if i == 0 then x else ith(xrest, i - 1)
}
-ghost method lemma_zero_length(xs: List)
+lemma lemma_zero_length(xs: List)
ensures length(xs) == 0 <==> xs.Nil?;
{}
-ghost method lemma_extensionality(xs: List, ys: List)
+lemma lemma_extensionality(xs: List, ys: List)
requires length(xs) == length(ys); // (0)
requires forall i: nat | i < length(xs) :: ith(xs, i) == ith(ys, i); // (1)
ensures xs == ys;
diff --git a/Test/dafny2/MajorityVote.dfy b/Test/dafny2/MajorityVote.dfy index 51e5b968..f1c3b485 100644 --- a/Test/dafny2/MajorityVote.dfy +++ b/Test/dafny2/MajorityVote.dfy @@ -165,7 +165,7 @@ method SearchForWinner<Candidate(==)>(a: seq<Candidate>, ghost hasWinner: bool, // Here are two lemmas about Count that are used in the methods above.
-ghost method Lemma_Split<T>(a: seq<T>, s: int, t: int, u: int, x: T)
+lemma Lemma_Split<T>(a: seq<T>, s: int, t: int, u: int, x: T)
requires 0 <= s <= t <= u <= |a|;
ensures Count(a, s, t, x) + Count(a, t, u, x) == Count(a, s, u, x);
{
@@ -178,7 +178,7 @@ ghost method Lemma_Split<T>(a: seq<T>, s: int, t: int, u: int, x: T) */
}
-ghost method Lemma_Unique<T>(a: seq<T>, s: int, t: int, x: T, y: T)
+lemma Lemma_Unique<T>(a: seq<T>, s: int, t: int, x: T, y: T)
requires 0 <= s <= t <= |a|;
ensures x != y ==> Count(a, s, t, x) + Count(a, s, t, y) <= t - s;
{
diff --git a/Test/dafny2/SnapshotableTrees.dfy b/Test/dafny2/SnapshotableTrees.dfy index 2bdfb83b..033c5db0 100644 --- a/Test/dafny2/SnapshotableTrees.dfy +++ b/Test/dafny2/SnapshotableTrees.dfy @@ -1,4 +1,4 @@ -// RUN: %dafny /compile:2 /dprint:"%t.dprint" "%s" > "%t"
+// RUN: %dafny /compile:2 /dprint:"%t.dprint" /autoTriggers:0 "%s" > "%t"
// RUN: %diff "%s.expect" "%t"
// Rustan Leino, September 2011.
diff --git a/Test/dafny2/SnapshotableTrees.dfy.expect b/Test/dafny2/SnapshotableTrees.dfy.expect index 849b9e38..68b4ff73 100644 --- a/Test/dafny2/SnapshotableTrees.dfy.expect +++ b/Test/dafny2/SnapshotableTrees.dfy.expect @@ -1,8 +1,15 @@ -SnapshotableTrees.dfy(68,24): Error BP5002: A precondition for this call might not hold.
-SnapshotableTrees.dfy(648,16): Related location: This is the precondition that might not hold.
+SnapshotableTrees.dfy(68,23): Error BP5002: A precondition for this call might not hold.
+SnapshotableTrees.dfy(648,15): Related location: This is the precondition that might not hold.
+SnapshotableTrees.dfy(545,15): Related location
+Execution trace:
+ (0,0): anon0
+ (0,0): anon3_Then
+SnapshotableTrees.dfy(68,23): Error BP5002: A precondition for this call might not hold.
+SnapshotableTrees.dfy(648,15): Related location: This is the precondition that might not hold.
+SnapshotableTrees.dfy(548,18): Related location
Execution trace:
(0,0): anon0
(0,0): anon3_Then
-Dafny program verifier finished with 65 verified, 1 error
+Dafny program verifier finished with 65 verified, 2 errors
Compiled assembly into SnapshotableTrees.exe
|