updated proof sessions

parent ca1a168b
......@@ -12,7 +12,6 @@ ewd673.mlw
fibonacci.mlw
find.mlw
finite_tarski.mlw
gcd_bezout.mlw
gcd.mlw
hackers-delight.mlw
hashtbl_impl.mlw
......@@ -20,9 +19,7 @@ ieee_float.mlw
kmp.mlw
knuth_prime_numbers.mlw
koda_ruskey.mlw
lcp.mlw
linked_list_rev.mlw
my_cosine.mlw
optimal_replay.mlw
queens_bv.mlw
queens.mlw
......
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......@@ -31,7 +31,6 @@
</goal>
<goal name="VC gcd.8" expl="8. loop variant decrease">
<proof prover="2"><result status="valid" time="0.04"/></proof>
<proof prover="4"><undone/></proof>
</goal>
<goal name="VC gcd.9" expl="9. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.18" steps="42"/></proof>
......
This diff is collapsed.
......@@ -2,57 +2,14 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="2" name="Spass" version="3.7" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Vampire" version="0.6" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="0.99.1" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="5" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="0" name="Alt-Ergo" version="1.30" timelimit="5" steplimit="0" memlimit="1000"/>
<file name="../lcp.mlw" expanded="true">
<theory name="LCP" sum="b7b041689ff58a3f4d1518790558ac63" expanded="true">
<theory name="LCP" sum="50feeeaf6717c74702bac9e115a2b860" expanded="true">
<goal name="not_eqseq" expanded="true">
<proof prover="4"><result status="valid" time="0.02" steps="9"/></proof>
<proof prover="0"><result status="valid" time="0.00" steps="11"/></proof>
</goal>
<goal name="WP_parameter lcp" expl="VC for lcp" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter lcp.1" expl="1. loop invariant init">
<proof prover="4"><result status="valid" time="0.01" steps="8"/></proof>
</goal>
<goal name="WP_parameter lcp.2" expl="2. index in array bounds">
<proof prover="4"><result status="valid" time="0.01" steps="9"/></proof>
</goal>
<goal name="WP_parameter lcp.3" expl="3. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="10"/></proof>
</goal>
<goal name="WP_parameter lcp.4" expl="4. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.01" steps="22"/></proof>
</goal>
<goal name="WP_parameter lcp.5" expl="5. loop variant decrease">
<proof prover="4"><result status="valid" time="0.01" steps="12"/></proof>
</goal>
<goal name="WP_parameter lcp.6" expl="6. postcondition">
<proof prover="4"><result status="valid" time="0.01" steps="11"/></proof>
</goal>
<goal name="WP_parameter lcp.7" expl="7. postcondition" expanded="true">
<transf name="inline_goal" expanded="true">
<goal name="WP_parameter lcp.7.1" expl="1. postcondition" expanded="true">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<proof prover="3"><result status="valid" time="0.01"/></proof>
<proof prover="5"><result status="valid" time="0.18"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter lcp.8" expl="8. postcondition">
<proof prover="4"><result status="valid" time="0.00" steps="8"/></proof>
</goal>
<goal name="WP_parameter lcp.9" expl="9. postcondition">
<proof prover="4"><result status="valid" time="0.00" steps="12"/></proof>
</goal>
<goal name="WP_parameter lcp.10" expl="10. postcondition">
<proof prover="4"><result status="valid" time="0.01" steps="7"/></proof>
</goal>
<goal name="WP_parameter lcp.11" expl="11. postcondition">
<proof prover="4" timelimit="5"><result status="valid" time="0.01" steps="10"/></proof>
</goal>
</transf>
<goal name="VC lcp" expl="VC for lcp" expanded="true">
<proof prover="0"><result status="valid" time="0.02" steps="79"/></proof>
</goal>
</theory>
</file>
......
......@@ -23,14 +23,11 @@ Definition unit := unit.
Require Import Interval.Interval_tactic.
(* Why3 goal *)
Theorem WP_parameter_my_cosine : forall (x:floating_point.SingleFormat.single),
Theorem VC_my_cosine : forall (x:floating_point.SingleFormat.single),
((Reals.Rbasic_fun.Rabs (floating_point.Single.value x)) <= (1 / 32)%R)%R ->
((Reals.Rbasic_fun.Rabs ((1%R - (((floating_point.Single.value x) * (floating_point.Single.value x))%R * (05 / 10)%R)%R)%R - (Reals.Rtrigo_def.cos (floating_point.Single.value x)))%R) <= (1 / 16777216)%R)%R.
(* Why3 intros x h1. *)
(* YOU MAY EDIT THE PROOF BELOW *)
intros x H.
intros x h1.
interval with (i_bisect_diff (Single.value x)).
Qed.
......@@ -2,28 +2,29 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="Gappa" version="1.3.0" timelimit="2" steplimit="0" memlimit="0"/>
<prover id="0" name="Gappa" version="1.3.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="1.30" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="MetiTarski" version="2.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Coq" version="8.6" timelimit="5" steplimit="0" memlimit="1000"/>
<file name="../my_cosine.mlw" expanded="true">
<theory name="M" sum="e6984a9af2ab6c45ac0e8af4e992df4e" expanded="true">
<goal name="WP_parameter my_cosine" expl="VC for my_cosine" expanded="true">
<theory name="M" sum="9703bc37ded6a61396b1df1dc41b18d6" expanded="true">
<goal name="VC my_cosine" expl="VC for my_cosine" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter my_cosine.1" expl="1. assertion" expanded="true">
<proof prover="2"><result status="valid" time="0.17"/></proof>
<proof prover="3" edited="my_cosine_M_WP_parameter_my_cosine_1.v"><result status="valid" time="1.79"/></proof>
<goal name="VC my_cosine.1" expl="1. assertion" expanded="true">
<proof prover="2"><result status="valid" time="0.14"/></proof>
<proof prover="3" edited="my_cosine_M_VC_my_cosine_1.v"><result status="valid" time="1.79"/></proof>
</goal>
<goal name="WP_parameter my_cosine.2" expl="2. precondition" expanded="true">
<proof prover="0"><result status="valid" time="0.00"/></proof>
<goal name="VC my_cosine.2" expl="2. precondition">
<proof prover="1"><result status="valid" time="0.01" steps="20"/></proof>
</goal>
<goal name="WP_parameter my_cosine.3" expl="3. precondition" expanded="true">
<proof prover="0"><result status="valid" time="0.00"/></proof>
<goal name="VC my_cosine.3" expl="3. precondition">
<proof prover="1"><result status="valid" time="0.05" steps="188"/></proof>
</goal>
<goal name="WP_parameter my_cosine.4" expl="4. precondition" expanded="true">
<goal name="VC my_cosine.4" expl="4. precondition">
<proof prover="0"><result status="valid" time="0.00"/></proof>
</goal>
<goal name="WP_parameter my_cosine.5" expl="5. postcondition" expanded="true">
<proof prover="0"><result status="valid" time="0.00"/></proof>
<goal name="VC my_cosine.5" expl="5. postcondition">
<proof prover="0"><result status="valid" time="0.01"/></proof>
</goal>
</transf>
</goal>
......
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