math wiki example

examples/math/Math.gf

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+abstract Math = {
+
+flags startcat = Section ;
+
+cat 
+  Section ; Label ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
+
+fun
+  SDefObj  : Label -> Context -> Obj  -> Typ -> Obj  -> Section ;
+  SDefProp : Label -> Context -> Prop -> Prop -> Section ;
+  SAxiom   : Label -> Context -> Prop -> Section ;
+  STheorem : Label -> Context -> Prop -> Proof -> Section ;
+
+  CEmpty : Context ;
+  CObj   : Var -> Typ -> Context -> Context ;
+  CProp  : Prop -> Context -> Context ;
+
+  OVar : Var -> Obj ;
+
+  LNone : Label ;
+  LString : String -> Label ;
+  VString : String -> Var ;
+
+  PLink : Proof ;
+
+-- lexicon
+
+  Set  : Typ ;
+  Nat  : Typ ;
+  Zero : Obj ;
+  Succ : Obj -> Obj ;
+  One  : Obj ;
+  Two  : Obj ;
+  Even : Obj -> Prop ;
+  Odd  : Obj -> Prop ;
+  Prime : Obj -> Prop ;
+  Divisible : Obj -> Obj -> Prop ;
+  
+}

examples/math/MathEnz.gf

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+--# -path=.:prelude
+
+concrete MathEnz of Math = open Prelude in {
+
+flags lexer = textlit ; unlexer = textlit ;
+
+-- lincat Section ; Label ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
+
+lin
+  SDefObj lab cont obj typ df = 
+    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ 
+        obj.s ++ "is" ++ "a" ++ typ.s ++ "," ++ "defined" ++ "as" ++ df.s ++ ".") ;  
+  SDefProp lab cont prop df = 
+    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ "we" ++ "say" ++ 
+        "that" ++ prop.s ++ "to" ++ "mean" ++ "that" ++ df.s ++ ".") ;  
+  SAxiom lab cont prop = 
+    ss ("Axiom" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ ".") ;
+  STheorem lab cont prop proof = 
+    ss ("Theorem" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ "." ++ proof.s ++ ".") ;
+
+  CEmpty = ss [] ;
+  CObj vr typ co = ss ("let" ++ vr.s ++ "be" ++ "a" ++ typ.s ++ "." ++ co.s) ;
+  CProp prop co = ss ("assume" ++ prop.s ++ "." ++ co.s) ;
+
+  OVar v = v ;
+  LNone = ss [] ;
+  LString s = s ;
+  VString s = s ;
+
+-- lexicon
+
+  Set  = ss "set" ;
+  Nat  = ss ["natural number"] ;
+  Zero = ss "zero" ;
+  Succ = prefixSS ["the successor of"] ;
+  One  = ss "one" ;
+  Two  = ss "two" ;
+  Even = postfixSS ["is even"] ;
+  Odd  = postfixSS ["is odd"] ;
+  Prime = postfixSS ["is prime"] ;
+  Divisible = infixSS ["is divisible by"] ;
+  
+}