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Commit 66768c1b authored by Jean-Christophe Filliâtre's avatar Jean-Christophe Filliâtre
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gallery: completed proof of dfs

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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/in_progress/dfs/why3session.xml deleted 100644 → 0
View file @ 668b6595
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