{-# 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