Mercurial > hg > Papers > 2021 > soto-prosym
diff Paper/src/cbc-hoare-loop.agda.replaced @ 5:339fb67b4375
INIT rbt.agda
author | soto <soto@cr.ie.u-ryukyu.ac.jp> |
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date | Sun, 07 Nov 2021 00:51:16 +0900 |
parents | c59202657321 |
children |
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--- a/Paper/src/cbc-hoare-loop.agda.replaced Sat Nov 06 20:06:24 2021 +0900 +++ b/Paper/src/cbc-hoare-loop.agda.replaced Sun Nov 07 00:51:16 2021 +0900 @@ -1,15 +1,15 @@ -whileLoopPwP' : {l : Level} {t : Set l} @$\rightarrow$@ (n : @$\mathbb{N}$@) @$\rightarrow$@ (env : Envc ) - @$\rightarrow$@ (n @$\equiv$@ varn env) @$\rightarrow$@ whileTestStateP s2 env - @$\rightarrow$@ (next : (env : Envc ) @$\rightarrow$@ (pred n @$\equiv$@ varn env) @$\rightarrow$@ whileTestStateP s2 env @$\rightarrow$@ t) - @$\rightarrow$@ (exit : (env : Envc ) @$\rightarrow$@ whileTestStateP sf env @$\rightarrow$@ t) @$\rightarrow$@ t -whileLoopPwP' zero env refl refl _ exit = exit env refl -whileLoopPwP' (suc n) env refl refl next _ = +whileLoopPwP!$\prime$! : {l : Level} {t : Set l} !$\rightarrow$! (n : !$\mathbb{N}$!) !$\rightarrow$! (env : Envc ) + !$\rightarrow$! (n !$\equiv$! varn env) !$\rightarrow$! whileTestStateP s2 env + !$\rightarrow$! (next : (env : Envc ) !$\rightarrow$! (pred n !$\equiv$! varn env) !$\rightarrow$! whileTestStateP s2 env !$\rightarrow$! t) + !$\rightarrow$! (exit : (env : Envc ) !$\rightarrow$! whileTestStateP sf env !$\rightarrow$! t) !$\rightarrow$! t +whileLoopPwP!$\prime$! zero env refl refl _ exit = exit env refl +whileLoopPwP!$\prime$! (suc n) env refl refl next _ = next (record env {varn = pred (varn env) ; vari = suc (vari env) }) refl (+-suc n (vari env)) -loopPwP' : {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 -loopPwP' zero env refl refl exit = exit env refl -loopPwP' (suc n) env refl refl exit - = whileLoopPwP' (suc n) env refl refl (@$\lambda$@ env x y @$\rightarrow$@ loopPwP' n env x y exit) exit +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 +loopPwP!$\prime$! zero env refl refl exit = exit env refl +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