Mercurial > hg > Members > ryokka > HoareLogic
changeset 29:816b44e5e674
fincase
author | ryokka |
---|---|
date | Mon, 09 Dec 2019 19:17:01 +0900 |
parents | 835b2d53815e |
children | dd66b94bf365 |
files | whileTestGears.agda |
diffstat | 1 files changed, 7 insertions(+), 5 deletions(-) [+] |
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--- a/whileTestGears.agda Mon Dec 09 19:08:08 2019 +0900 +++ b/whileTestGears.agda Mon Dec 09 19:17:01 2019 +0900 @@ -101,23 +101,25 @@ state1 : whileTestState state2 : whileTestState - + finstate : whileTestState record whileTestCondition (c10 : ℕ) (t : whileTestState) : Set where coinductive field + fincase : (env : Env) → (t ≡ finstate) → (vari env ≡ c10) case1 : (env : Env) → (t ≡ state1) → ((vari env) ≡ 0) /\ ((varn env) ≡ c10) → whileTestCondition c10 state2 case2 : (env : Env) → (t ≡ state2) → (varn env + vari env ≡ c10) → whileTestCondition c10 state2 open whileTestCondition test2 : (c10 : ℕ) → whileTestCondition c10 state1 → whileTestCondition c10 state2 -test2 c10 cond1 = whileTest 10 (λ env → whileLoop env (λ env1 → proof3 env env1 cond1 )) +test2 c10 cond1 = whileTest 10 (λ env → whileLoop env (λ env1 → {!!})) where whileLoopCond : (e env1 : Env) → varn env1 + vari env1 ≡ c10 → varn e + vari e ≡ c10 → whileTestCondition c10 state2 whileLoopCond = {!!} - proof3 : (env env1 : Env) → whileTestCondition c10 state1 → whileTestCondition c10 state2 - case1 (proof3 env env1 cond1) e () - case2 (proof3 env env1 cond1) e refl cond2 = {!!} + proof3 : (env env1 : Env) → whileTestCondition c10 finstate + fincase (proof3 env env1) = {!!} + case1 (proof3 env env1 ) e () + case2 (proof3 env env1 ) e () -- conversion1 e {c10} (case2 (case1 cond1 ? ? ?)) {!!}