From 59e432812829a106d6719f2490e3f64ef77abbff Mon Sep 17 00:00:00 2001 From: aarne Date: Wed, 31 Oct 2007 17:13:20 +0000 Subject: mock up math extended with Agda --- examples/math/MathAgd.gf | 53 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 examples/math/MathAgd.gf (limited to 'examples/math/MathAgd.gf') diff --git a/examples/math/MathAgd.gf b/examples/math/MathAgd.gf new file mode 100644 index 000000000..9b723c26e --- /dev/null +++ b/examples/math/MathAgd.gf @@ -0,0 +1,53 @@ +--# -path=.:prelude + +concrete MathAgd of Mathw = open Prelude in { + +flags lexer = codelit ; unlexer = codelit ; + +-- lincat Section ; Context ; Typ ; + lincat Obj, Prop = {s,name : Str} ; +-- Proof ; Var ; + +lin + SDefObj cont obj typ df = + ss (obj.name ++ "::" ++ cont.s ++ typ.s ++ + "=" ++ df.s ++ ";") ; + SDefProp cont prop df = + ss (prop.name ++ "::" ++ cont.s ++ "Prop" ++ + "=" ++ df.s ++ ";") ; + SAxiom cont prop = + ss ("ax" ++ "::" ++ cont.s ++ prop.s ++ ";") ; + STheorem cont prop proof = + ss ("thm" ++ "::" ++ cont.s ++ prop.s ++ + "=" ++ proof.s ++ ";") ; + + CEmpty = ss [] ; + CObj vr typ co = ss ("(" ++ vr.s ++ "::" ++ typ.s ++ ")" ++ co.s) ; + CProp prop co = ss ("(" ++ "_" ++ "::" ++ prop.s ++ ")" ++ co.s) ; + + OVar v = obj v.s [] ; + + V_x = ss "x" ; + V_y = ss "y" ; + V_z = ss "z" ; + +oper + obj : Str -> Str -> {s,name : Str} = \f,xs -> { + s = f ++ xs ; + name = f + } ; + +-- lexicon +lin + Set = ss "set" ; + Nat = ss ["Nat"] ; + Zero = obj "Zero" [] ; + Succ x = obj "Succ" x.s ; + One = obj "one" [] ; + Two = obj "two" [] ; + Even x = obj "Even" x.s ; + Odd x = obj "Odd" x.s ; + Prime x = obj "Prime" x.s ; + Divisible x y = obj "Div" (x.s ++ y.s) ; + +} -- cgit v1.2.3