Mercurial > hg > Papers > 2020 > soto-midterm

diff src/axiom-taut.agda @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
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/axiom-taut.agda	Tue Sep 08 18:38:08 2020 +0900
@@ -0,0 +1,10 @@
+_⇒_ : Bool → Bool → Bool
+false  ⇒  _ = true
+true  ⇒  true = true
+true  ⇒  false = false
+
+Axiom : Cond -> PrimComm -> Cond -> Set
+Axiom pre comm post = ∀ (env : Env) →  (pre env) ⇒ ( post (comm env)) ≡ true
+
+Tautology : Cond -> Cond -> Set
+Tautology pre post = ∀ (env : Env) →  (pre env)  ⇒ (post env) ≡ true