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Commit 7e9ea977 authored by MARCHE Claude's avatar MARCHE Claude
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sumrange example: fully prover, including complexity

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examples/in_progress/sumrange.mlw
View file @ 7e9ea977
......@@ -427,17 +427,10 @@ module CumulativeTree
requires { is_tree_for t a t.indexes.low t.indexes.high }
requires { 0 <= t.indexes.low <= i < j <= t.indexes.high <= a.length }
variant { t }
(*
ensures { !c - old !c <=
if i = t.indexes.low /\ j = t.indexes.high then 1 else
if i = t.indexes.low \/ j = t.indexes.high then depth t else
2 * depth t }
*)
ensures {
i = t.indexes.low /\ j = t.indexes.high -> !c - old !c <= 1 }
ensures {
i = t.indexes.low \/ j = t.indexes.high -> !c - old !c <= 1 + depth t }
ensures { !c - old !c <= 2 * depth t }
if i = t.indexes.low \/ j = t.indexes.high then 2 * depth t else
4 * depth t }
ensures { result = sum a i j }
= c := !c + 1;
match t with
......@@ -448,20 +441,9 @@ module CumulativeTree
let k3 = ind.high in
if i=k1 && j=k3 then ind.isum else
let m = l.indexes.high in
if j <= m then
begin
assert { depth l < depth t };
assert { i = t.indexes.low <-> i = l.indexes.low };
assert { j = t.indexes.high -> j = l.indexes.high };
query_aux_complexity l a i j c
end
else
if j <= m then query_aux_complexity l a i j c else
if i >= m then query_aux_complexity r a i j c else
begin
'L1: let tmp = query_aux_complexity l a i m c in
assert { !c - at !c 'L1 <= depth t };
tmp + query_aux_complexity r a m j c
end
query_aux_complexity l a i m c + query_aux_complexity r a m j c
end
......
examples/in_progress/sumrange/why3session.xml
View file @ 7e9ea977
......@@ -6,7 +6,7 @@
<prover id="1" name="Alt-Ergo" version="1.30" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.5.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file name="../sumrange.mlw">
<file name="../sumrange.mlw" proved="true">
<theory name="ArraySum" proved="true" sum="c43abcc65051af09a54f471f27f69208">
<goal name="sum_right" proved="true">
<transf name="assert" proved="true" arg1="(forall x. 0 &lt; x &lt; j -&gt; sum a (j-x) j = sum a (j-x) (j-1) + a[j-1])">
......@@ -121,7 +121,7 @@
<proof prover="2"><result status="valid" time="0.05"/></proof>
</goal>
</theory>
<theory name="CumulativeTree" sum="926714608746ce5cc75c06bb87a4995d">
<theory name="CumulativeTree" proved="true" sum="4f2a81f2193f3e3cf4199b3867f6aaca">
<goal name="WP_parameter tree_of_array" expl="VC for tree_of_array" proved="true">
<proof prover="3"><result status="valid" time="0.43"/></proof>
</goal>
......@@ -295,130 +295,70 @@
</goal>
</transf>
</goal>
<goal name="WP_parameter query_aux_complexity" expl="VC for query_aux_complexity">
<proof prover="0"><result status="unknown" time="2.01"/></proof>
<proof prover="1"><result status="timeout" time="1.00"/></proof>
<proof prover="2"><result status="timeout" time="1.00"/></proof>
<proof prover="3"><result status="unknown" time="1.97"/></proof>
<transf name="split_goal_wp" >
<goal name="WP_parameter query_aux_complexity" expl="VC for query_aux_complexity" proved="true">
<transf name="split_goal_wp" proved="true" >
<goal name="WP_parameter query_aux_complexity.0" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.03"/></proof>
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.1" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.01" steps="76"/></proof>
<proof prover="2"><result status="valid" time="0.02"/></proof>
<proof prover="3"><result status="valid" time="0.04"/></proof>
<proof prover="3"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.2" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.3" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.4" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.5" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.6" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.01" steps="78"/></proof>
<proof prover="2"><result status="valid" time="0.02"/></proof>
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.7" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.8" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.9" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.10" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.11" expl="variant decrease" proved="true">
<goal name="WP_parameter query_aux_complexity.4" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.12" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.5" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.13" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.6" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.14" expl="postcondition" proved="true">
<goal name="WP_parameter query_aux_complexity.7" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.04"/></proof>
<proof prover="1"><result status="valid" time="0.03" steps="99"/></proof>
<proof prover="2"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.39" steps="363"/></proof>
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.15" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.16" expl="postcondition" proved="true">
<goal name="WP_parameter query_aux_complexity.8" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.17" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.18" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.9" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.19" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.10" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.20" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.03"/></proof>
<proof prover="1"><result status="valid" time="0.02" steps="99"/></proof>
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="WP_parameter query_aux_complexity.11" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.21" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.22" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.23" expl="variant decrease" proved="true">
<goal name="WP_parameter query_aux_complexity.12" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.24" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.25" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.13" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.26" expl="assertion" proved="true">
<goal name="WP_parameter query_aux_complexity.14" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.27" expl="variant decrease" proved="true">
<goal name="WP_parameter query_aux_complexity.15" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.28" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.16" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.29" expl="precondition" proved="true">
<goal name="WP_parameter query_aux_complexity.17" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.30" expl="postcondition" proved="true">
<goal name="WP_parameter query_aux_complexity.18" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.04"/></proof>
<proof prover="1"><result status="valid" time="0.06" steps="124"/></proof>
<proof prover="2"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.85" steps="666"/></proof>
<proof prover="3"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.31" expl="postcondition">
<proof prover="0"><result status="timeout" time="2.00"/></proof>
<proof prover="1"><result status="timeout" time="1.00"/></proof>
<proof prover="2"><result status="timeout" time="1.00"/></proof>
<proof prover="3"><result status="unknown" time="2.02"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.32" expl="postcondition">
<proof prover="3"><result status="unknown" time="1.07"/></proof>
</goal>
<goal name="WP_parameter query_aux_complexity.33" expl="postcondition" proved="true">
<goal name="WP_parameter query_aux_complexity.19" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.06"/></proof>
</goal>
</transf>
......
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