Mercurial > hg > Papers > 2021 > soto-prosym
comparison Paper/src/cbc-hoare.agda.replaced @ 0:c59202657321
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author | soto <soto@cr.ie.u-ryukyu.ac.jp> |
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date | Tue, 02 Nov 2021 06:55:58 +0900 |
parents | |
children | 339fb67b4375 |
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-1:000000000000 | 0:c59202657321 |
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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 ) | |
5 | |
6 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 | |
7 loopPwP' zero env refl refl exit = exit env refl | |
8 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 | |
9 | |
10 | |
11 whileTestPCallwP' : (c : @$\mathbb{N}$@ ) @$\rightarrow$@ Set | |
12 whileTestPCallwP' c = whileTestPwP {_} {_} c (@$\lambda$@ env s @$\rightarrow$@ loopPwP' (varn env) env refl (conv env s) ( @$\lambda$@ env s @$\rightarrow$@ vari env @$\equiv$@ c10 env ) ) | |
13 | |
14 |