Mercurial > hg > Papers > 2021 > soto-thesis
diff prepaper/src/agda-hoare-write.agda.replaced @ 0:3dba680da508
init-test
author | soto |
---|---|
date | Tue, 08 Dec 2020 19:06:49 +0900 |
parents | |
children |
line wrap: on
line diff
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/prepaper/src/agda-hoare-write.agda.replaced Tue Dec 08 19:06:49 2020 +0900 @@ -0,0 +1,15 @@ +-- Nomal CodeGear +whileLoop' : {l : Level} {t : Set l} @$\rightarrow$@ (n : @$\mathbb{N}$@) @$\rightarrow$@ (env : Envc) + @$\rightarrow$@ (n @$\equiv$@ varn env) + @$\rightarrow$@ (next : Envc @$\rightarrow$@ t) + @$\rightarrow$@ (exit : Envc @$\rightarrow$@ t) @$\rightarrow$@ t +whileLoop' zero env refl _ exit = exit env +whileLoop' (suc n) env refl next _ = next (record env {varn = pred (varn env) ; vari = suc (vari env) }) + +-- Hoare Logic base CodeGear +whileLoopPwP' : {l : Level} {t : Set l} @$\rightarrow$@ (n : @$\mathbb{N}$@) @$\rightarrow$@ (env : Envc ) + @$\rightarrow$@ (n @$\equiv$@ varn env) @$\rightarrow$@ (pre : varn env + vari env @$\equiv$@ c10 env) + @$\rightarrow$@ (next : (env : Envc ) @$\rightarrow$@ (pred n @$\equiv$@ varn env) @$\rightarrow$@ (post : varn env + vari env @$\equiv$@ c10 env) @$\rightarrow$@ t) + @$\rightarrow$@ (exit : (env : Envc ) @$\rightarrow$@ (fin : vari env @$\equiv$@ c10 env) @$\rightarrow$@ t) @$\rightarrow$@ t +whileLoopPwP' zero env refl refl next exit = exit env refl +whileLoopPwP' (suc n) env refl refl next exit = next (record env {varn = pred (varn env) ; vari = suc (vari env) }) refl (+-suc n (vari env))