Mercurial > hg > Papers > 2020 > soto-midterm
diff src/agda-hoare-whileprog.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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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/agda-hoare-whileprog.agda.replaced Tue Sep 08 18:38:08 2020 +0900 @@ -0,0 +1,16 @@ +whileTestP : {l : Level} {t : Set l} @$\rightarrow$@ (c10 : @$\mathbb{N}$@) @$\rightarrow$@ (Code : Envc @$\rightarrow$@ t) @$\rightarrow$@ t +whileTestP c10 next = next (record {c10 = c10 ; varn = c10 ; vari = 0 }) + +whileLoopP' : {l : Level} {t : Set l} @$\rightarrow$@ Envc @$\rightarrow$@ (next : Envc @$\rightarrow$@ t) @$\rightarrow$@ (exit : Envc @$\rightarrow$@ t) @$\rightarrow$@ t +whileLoopP' record { c10 = c10 ; varn = zero ; vari = vari } _ exit = exit record { c10 = c10 ; varn = zero ; vari = vari } +whileLoopP' record { c10 = c10 ; varn = suc varn1 ; vari = vari } next _ = next (record {c10 = c10 ; varn = varn1 ; vari = suc vari }) + +{-@$\#$@ TERMINATING @$\#$@-} +loopP : {l : Level} {t : Set l} @$\rightarrow$@ Envc @$\rightarrow$@ (exit : Envc @$\rightarrow$@ t) @$\rightarrow$@ t +loopP env exit = whileLoopP' env (@$\lambda$@ env @$\rightarrow$@ loopP env exit ) exit + +whileTestPCall : (c10 : @$\mathbb{N}$@ ) @$\rightarrow$@ Envc +whileTestPCall c10 = whileTestP {_} {_} c10 (@$\lambda$@ env @$\rightarrow$@ loopP env (@$\lambda$@ env @$\rightarrow$@ env)) + +-- whileTestPCall 10 +-- record { c10 = 10 ; varn = 0 ; vari = 10 }