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Scala Worksheet for testing A-normalization
This is still affected by scala-ide/scala-worksheet#185
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,100 @@ | ||
| package ilc | ||
| package feature | ||
| package let | ||
|
|
||
| object ANormalFormTest { | ||
| println("Welcome to the Scala worksheet") //> Welcome to the Scala worksheet | ||
| import language._ | ||
| val v = new Bacchus with feature.let.ANormalForm with inference.SyntaxSugar with integers.ImplicitSyntaxSugar | ||
| //> v : ilc.language.Bacchus with ilc.feature.let.ANormalForm with ilc.feature. | ||
| //| inference.SyntaxSugar with ilc.feature.integers.ImplicitSyntaxSugar = ilc.fe | ||
| //| ature.let.ANormalFormTest$$anonfun$main$1$$anon$1@59b30ac0 | ||
| import v._ | ||
| sys.props("file.encoding") //> res0: String = UTF-8 | ||
| //Taken from http://matt.might.net/articles/a-normalization/, but was ill-typed! | ||
| val test1 = | ||
| letS( | ||
| 'id -> ('x ->: 'x), | ||
| 'id_i -> ('x ->: 'x), | ||
| 'apply -> ('f ->: 'x ->: 'f('x)) | ||
| ) { | ||
| 'id('apply, 'id_i, asUntyped(3: Term)) | ||
| } //> test1 : ilc.feature.let.ANormalFormTest.v.UntypedTerm = UApp(UAbs(id,None,U | ||
| //| App(UAbs(id_i,None,UApp(UAbs(apply,None,UApp(UApp(UApp(UVar(id),UVar(apply)) | ||
| //| ,UVar(id_i)),UMonomorphicConstant(LiteralInt(3)))),UAbs(f,None,UAbs(x,None,U | ||
| //| App(UVar(f),UVar(x)))))),UAbs(x,None,UVar(x)))),UAbs(x,None,UVar(x))) | ||
| try { | ||
| println(pretty(test1)) | ||
| } catch { case e: inference.Inference#UnificationFailure => | ||
| println(e.details) | ||
| } //> (λid. | ||
| //| (λid_i. | ||
| //| (λapply. | ||
| //| id | ||
| //| apply | ||
| //| id_i | ||
| //| LiteralInt(3)) | ||
| //| (λf. | ||
| //| λx. | ||
| //| f | ||
| //| x)) | ||
| //| (λx. | ||
| //| x)) | ||
| //| (λx. | ||
| //| x) | ||
| val test1T: Term = test1 //> test1T : ilc.feature.let.ANormalFormTest.v.Term = App(Abs(Var(id,((ℤ → | ||
| //| ℤ) → ℤ → ℤ) → (ℤ → ℤ) → ℤ → ℤ),App(Abs(Var(id_i,� | ||
| //| � → ℤ),App(Abs(Var(apply,(ℤ → ℤ) → ℤ → ℤ),App(App(App(Var( | ||
| //| id,((ℤ → ℤ) → ℤ → ℤ) → (ℤ → ℤ) → ℤ → ℤ),Var(ap | ||
| //| ply,(ℤ → ℤ) → ℤ → ℤ)),Var(id_i,ℤ → ℤ)),LiteralInt(3))),A | ||
| //| bs(Var(f,ℤ → ℤ),Abs(Var(x,ℤ),App(Var(f,ℤ → ℤ),Var(x,ℤ)))))), | ||
| //| Abs(Var(x,ℤ),Var(x,ℤ)))),Abs(Var(x,(ℤ → ℤ) → ℤ → ℤ),Var(x, | ||
| //| (ℤ → ℤ) → ℤ → ℤ))) | ||
| pretty(test1T) //> res1: String = (λid. | ||
| //| (λid_i. | ||
| //| (λapply. | ||
| //| id | ||
| //| apply | ||
| //| id_i | ||
| //| LiteralInt(3)) | ||
| //| (λf. | ||
| //| λx. | ||
| //| f | ||
| //| x)) | ||
| //| (λx. | ||
| //| x)) | ||
| //| (λx. | ||
| //| x) | ||
| "\n" + pretty(normalizeTerm(test1T)) //> res2: String = " | ||
| //| Av_7 = | ||
| //| λid. | ||
| //| Av_5 = | ||
| //| λid_i. | ||
| //| Av_3 = | ||
| //| λapply. | ||
| //| Av_1 = | ||
| //| id | ||
| //| apply; | ||
| //| Av_2 = | ||
| //| Av_1 | ||
| //| id_i; | ||
| //| Av_2 | ||
| //| LiteralInt(3); | ||
| //| Av_4 = | ||
| //| λf. | ||
| //| λx. | ||
| //| f | ||
| //| x; | ||
| //| Av_3 | ||
| //| Av_4; | ||
| //| Av_6 = | ||
| //| λx. | ||
| //| x; | ||
| //| Av_5 | ||
| //| Av_6; | ||
| //| Av_8 = | ||
| //| λx. | ||
| //| x; | ||
| //| Av_7 | ||
| //| Av_8" | ||
| } |