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Why3
why3
Commits
bb11c2df
Commit
bb11c2df
authored
Aug 22, 2011
by
MARCHE Claude
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proof in progress: heap_implem.extractMin
parent
f5583575
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examples/programs/vacid_0_binary_heaps/heap.why
examples/programs/vacid_0_binary_heaps/heap.why
+6
-7
examples/programs/vacid_0_binary_heaps/heap_implem.mlw
examples/programs/vacid_0_binary_heaps/heap_implem.mlw
+1
-0
examples/programs/vacid_0_binary_heaps/proofs/why3session.xml
...ples/programs/vacid_0_binary_heaps/proofs/why3session.xml
+372
-211
No files found.
examples/programs/vacid_0_binary_heaps/heap.why
View file @
bb11c2df
...
...
@@ -50,13 +50,12 @@ lemma Is_heap_sub2 :
forall j: int. 0 <= j <= n -> is_heap_array a j n
lemma Is_heap_when_node_modified :
forall a:map, n e idx:int.
is_heap_array a idx n
-> forall i : int. 0 <= i < n
-> (i > 0 -> A.get a (parent i) <= e )
-> (left i < n -> e <= A.get a (left i))
-> (right i < n -> e <= A.get a (right i))
-> is_heap_array (A.set a i e) idx n
forall a:map, n e idx i:int. 0 <= i < n ->
is_heap_array a idx n ->
(i > 0 -> A.get a (parent i) <= e ) ->
(left i < n -> e <= A.get a (left i)) ->
(right i < n -> e <= A.get a (right i)) ->
is_heap_array (A.set a i e) idx n
lemma Is_heap_add_last :
forall a:map, n e:int. n > 0 ->
...
...
examples/programs/vacid_0_binary_heaps/heap_implem.mlw
View file @
bb11c2df
...
...
@@ -97,6 +97,7 @@ let extractMin (this : ref logic_heap) : int =
if
(
!i < n') then
begin
arr
:=
A
.
set
!arr !i last;
assert
{
!i > 0 -> is_heap_array !arr 0 n' };
assert
{
is_heap_array
!arr 0 n' };
assert
{
model
!this = add min (model (!arr,n')) }
end
;
...
...
examples/programs/vacid_0_binary_heaps/proofs/why3session.xml
View file @
bb11c2df
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