Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in
Toggle navigation
why3
Project overview
Project overview
Details
Activity
Releases
Repository
Repository
Files
Commits
Branches
Tags
Contributors
Graph
Compare
Issues
126
Issues
126
List
Boards
Labels
Service Desk
Milestones
Merge Requests
16
Merge Requests
16
Operations
Operations
Incidents
Packages & Registries
Packages & Registries
Container Registry
Analytics
Analytics
Repository
Value Stream
Wiki
Wiki
Snippets
Snippets
Members
Members
Collapse sidebar
Close sidebar
Activity
Graph
Create a new issue
Commits
Issue Boards
Open sidebar
Why3
why3
Commits
66768c1b
Commit
66768c1b
authored
Jan 08, 2016
by
Jean-Christophe Filliâtre
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
gallery: completed proof of dfs
parent
668b6595
Changes
4
Expand all
Hide whitespace changes
Inline
Side-by-side
Showing
4 changed files
with
135 additions
and
838 deletions
+135
-838
examples/dfs.mlw
examples/dfs.mlw
+3
-3
examples/dfs/why3session.xml
examples/dfs/why3session.xml
+132
-0
examples/dfs/why3shapes.gz
examples/dfs/why3shapes.gz
+0
-0
examples/in_progress/dfs/why3session.xml
examples/in_progress/dfs/why3session.xml
+0
-835
No files found.
examples/
in_progress/
dfs.mlw
→
examples/dfs.mlw
View file @
66768c1b
...
...
@@ -76,12 +76,12 @@ module DFS
predicate all_descendants_are_marked (marked: marks) =
root <> null ->
marked[root] = True &&
forall x y: loc. edge x y -> marked[x] = True -> marked[y] = True
forall x y: loc. edge x y -> marked[x] = True ->
y <> null ->
marked[y] = True
lemma reformulation:
forall marked: marks.
all_descendants_are_marked marked ->
forall x: loc. x <> null -> path root x -> marked[x] = True
forall x: loc. x <> null -> path root x -> marked[x] = True
/\ root <> null
let traverse () : unit
requires { forall x: loc. x <> null ->
...
...
@@ -90,7 +90,7 @@ module DFS
ensures { all_descendants_are_marked !marked }
ensures { forall x: loc. x <> null -> !busy[x] = False }
=
(* assert { well_colored !marked !busy }; *)
assert { well_colored !marked !busy };
dfs root
end
\ No newline at end of file
examples/dfs/why3session.xml
0 → 100644
View file @
66768c1b
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session
shape_version=
"4"
>
<prover
id=
"0"
name=
"Alt-Ergo"
version=
"0.95.1"
timelimit=
"5"
memlimit=
"1000"
/>
<prover
id=
"13"
name=
"Alt-Ergo"
version=
"0.99.1"
timelimit=
"6"
memlimit=
"1000"
/>
<prover
id=
"18"
name=
"Z3"
version=
"4.3.2"
timelimit=
"15"
memlimit=
"1000"
/>
<file
name=
"../dfs.mlw"
expanded=
"true"
>
<theory
name=
"DFS"
sum=
"f30cfdc8f980d8ec0f281573e7aff648"
expanded=
"true"
>
<goal
name=
"WP_parameter dfs"
expl=
"VC for dfs"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter dfs.1"
expl=
"1. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"14"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"14"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.2"
expl=
"2. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"11"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"11"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.3"
expl=
"3. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.00"
steps=
"10"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.00"
steps=
"10"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.4"
expl=
"4. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"12"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.02"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.5"
expl=
"5. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"12"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.6"
expl=
"6. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"21"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.02"
steps=
"20"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.7"
expl=
"7. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.10"
steps=
"48"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.08"
steps=
"140"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.8"
expl=
"8. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.00"
steps=
"21"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.02"
steps=
"22"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.9"
expl=
"9. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"20"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"20"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.10"
expl=
"10. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"21"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"21"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.11"
expl=
"11. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"16"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"16"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.12"
expl=
"12. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.13"
expl=
"13. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.00"
steps=
"5"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.14"
expl=
"14. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.15"
expl=
"15. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"4"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"4"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.16"
expl=
"16. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"4"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"4"
/></proof>
</goal>
<goal
name=
"WP_parameter dfs.17"
expl=
"17. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"4"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"4"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"reformulation"
>
<transf
name=
"induction_pr"
>
<goal
name=
"reformulation.1"
expl=
"1."
>
<transf
name=
"simplify_trivial_quantification"
>
<goal
name=
"reformulation.1.1"
expl=
"1."
>
<proof
prover=
"0"
timelimit=
"6"
><result
status=
"valid"
time=
"0.00"
steps=
"3"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"reformulation.2"
expl=
"2."
>
<transf
name=
"simplify_trivial_quantification"
>
<goal
name=
"reformulation.2.1"
expl=
"1."
>
<proof
prover=
"18"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal
name=
"WP_parameter traverse"
expl=
"VC for traverse"
expanded=
"true"
>
<transf
name=
"split_goal_wp"
expanded=
"true"
>
<goal
name=
"WP_parameter traverse.1"
expl=
"1. assertion"
>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"8"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.2"
expl=
"2. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"1"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"1"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.3"
expl=
"3. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.02"
steps=
"5"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.4"
expl=
"4. precondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"2"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"2"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.5"
expl=
"5. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"5"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.6"
expl=
"6. postcondition"
expanded=
"true"
>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.01"
steps=
"28"
/></proof>
</goal>
<goal
name=
"WP_parameter traverse.7"
expl=
"7. postcondition"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.01"
steps=
"10"
/></proof>
<proof
prover=
"13"
><result
status=
"valid"
time=
"0.00"
steps=
"10"
/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
examples/dfs/why3shapes.gz
0 → 100644
View file @
66768c1b
File added
examples/in_progress/dfs/why3session.xml
deleted
100644 → 0
View file @
668b6595
This diff is collapsed.
Click to expand it.
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
.
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment