mock up math extended with Agda

1 files changed, 53 insertions, 0 deletions

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) ;
+  
+}