luau/prototyping/Examples/Run.agda
2022-02-22 17:18:37 -08:00

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{-# OPTIONS --rewriting #-}
module Examples.Run where
open import Agda.Builtin.Equality using (_≡_; refl)
open import Agda.Builtin.Bool using (true; false)
open import Luau.Syntax using (nil; var; _$_; function_is_end; return; _∙_; done; _⟨_⟩; number; binexp; +; <; ∧; ; true; false)
open import Luau.Value using (nil; number; bool)
open import Luau.Run using (run; return)
open import Luau.Heap using (lookup-next; next-emp; lookup-next-emp)
import Agda.Builtin.Equality.Rewrite
{-# REWRITE lookup-next next-emp lookup-next-emp #-}
ex1 : (run (function "id" var "x" is return (var "x") done end return (var "id" $ nil) done) return nil _)
ex1 = refl
ex2 : (run (function "fn" var "x" is return (number 123.0) done end return (var "fn" $ nil) done) return (number 123.0) _)
ex2 = refl
ex3 : (run (function "fn" var "x" is return (binexp (number 1.0) + (number 2.0)) done end return (var "fn" $ nil) done) return (number 3.0) _)
ex3 = refl
ex4 : (run (function "fn" var "x" is return (binexp (number 1.0) < (number 2.0)) done end return (var "fn" $ nil) done) return (bool true) _)
ex4 = refl
ex5 : (run (function "fn" var "x" is return (binexp (number 1.0) (number 2.0)) done end return (var "fn" $ nil) done) return (number 2.0) _)
ex5 = refl
ex6 : (run (function "fn" var "x" is return (binexp nil (number 2.0)) done end return (var "fn" $ nil) done) return (number 2.0) _)
ex6 = refl
ex7 : (run (function "fn" var "x" is return (binexp nil (number 2.0)) done end return (var "fn" $ nil) done) return nil _)
ex7 = refl
ex8 : (run (function "fn" var "x" is return (binexp true false) done end return (var "fn" $ nil) done) return (bool false) _)
ex8 = refl