Mercurial > hg > Papers > 2022 > soto-sigos

comparison Paper/src/cbc-hoare.agda.replaced @ 0:14a0e409d574

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author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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equal deleted inserted replaced
-1:000000000000 0:14a0e409d574
1 whileTestPwP : {l : Level} {t : Set l} !$\rightarrow$! (c10 : !$\mathbb{N}$!) !$\rightarrow$! ((env : Envc ) !$\rightarrow$! whileTestStateP s1 env !$\rightarrow$! t) !$\rightarrow$! t
2 whileTestPwP c10 next = next env record { pi1 = refl ; pi2 = refl } where
3 env : Envc
4 env = whileTestP c10 ( !$\lambda$! env !$\rightarrow$! env )
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6 loopPwP!$\prime$! : {l : Level} {t : Set l} !$\rightarrow$! (n : !$\mathbb{N}$!) !$\rightarrow$! (env : Envc ) !$\rightarrow$! (n !$\equiv$! varn env) !$\rightarrow$! whileTestStateP s2 env !$\rightarrow$! (exit : (env : Envc ) !$\rightarrow$! whileTestStateP sf env !$\rightarrow$! t) !$\rightarrow$! t
7 loopPwP!$\prime$! zero env refl refl exit = exit env refl
8 loopPwP!$\prime$! (suc n) env refl refl exit = whileLoopPwP!$\prime$! (suc n) env refl refl (!$\lambda$! env x y !$\rightarrow$! loopPwP!$\prime$! n env x y exit) exit
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11 whileTestPCallwP!$\prime$! : (c : !$\mathbb{N}$! ) !$\rightarrow$! Set
12 whileTestPCallwP!$\prime$! c = whileTestPwP {_} {_} c (!$\lambda$! env s !$\rightarrow$! loopPwP!$\prime$! (varn env) env refl (conv env s) ( !$\lambda$! env s !$\rightarrow$! vari env !$\equiv$! c10 env ) )
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