Mercurial > hg > Papers > 2020 > soto-midterm
comparison src/cbc-hoare-loop.agda.replaced @ 1:73127e0ab57c
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author | soto@cr.ie.u-ryukyu.ac.jp |
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date | Tue, 08 Sep 2020 18:38:08 +0900 |
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0:b919985837a3 | 1:73127e0ab57c |
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1 whileLoopPwP' : {l : Level} {t : Set l} @$\rightarrow$@ (n : @$\mathbb{N}$@) @$\rightarrow$@ (env : Envc ) | |
2 @$\rightarrow$@ (n @$\equiv$@ varn env) @$\rightarrow$@ whileTestStateP s2 env | |
3 @$\rightarrow$@ (next : (env : Envc ) @$\rightarrow$@ (pred n @$\equiv$@ varn env) @$\rightarrow$@ whileTestStateP s2 env @$\rightarrow$@ t) | |
4 @$\rightarrow$@ (exit : (env : Envc ) @$\rightarrow$@ whileTestStateP sf env @$\rightarrow$@ t) @$\rightarrow$@ 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} @$\rightarrow$@ (n : @$\mathbb{N}$@) @$\rightarrow$@ (env : Envc ) | |
11 @$\rightarrow$@ (n @$\equiv$@ varn env) @$\rightarrow$@ whileTestStateP s2 env | |
12 @$\rightarrow$@ (exit : (env : Envc ) @$\rightarrow$@ whileTestStateP sf env @$\rightarrow$@ t) @$\rightarrow$@ 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 (@$\lambda$@ env x y @$\rightarrow$@ loopPwP' n env x y exit) exit |