Mercurial > hg > Papers > 2020 > soto-midterm

comparison src/cbc-hoare-loop.agda @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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0:b919985837a3 1:73127e0ab57c
1 whileLoopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
2 → (n ≡ varn env) → whileTestStateP s2 env
3 → (next : (env : Envc ) → (pred n ≡ varn env) → whileTestStateP s2 env → t)
4 → (exit : (env : Envc ) → whileTestStateP sf env → t) → t
5 whileLoopPwP' zero env refl refl _ exit = exit env refl
6 whileLoopPwP' (suc n) env refl refl next _ =
7 next (record env {varn = pred (varn env) ; vari = suc (vari env) }) refl (+-suc n (vari env))
8
9
10 loopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
11 → (n ≡ varn env) → whileTestStateP s2 env
12 → (exit : (env : Envc ) → whileTestStateP sf env → t) → t
13 loopPwP' zero env refl refl exit = exit env refl
14 loopPwP' (suc n) env refl refl exit
15 = whileLoopPwP' (suc n) env refl refl (λ env x y → loopPwP' n env x y exit) exit