mock up math extended with Agda

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) ;
+  
+}

examples/math/MathEnz.gf

@@ -4,28 +4,25 @@ concrete MathEnz of Mathw = open Prelude in {
 
 flags lexer = textlit ; unlexer = textlit ;
 
--- lincat Section ; Label ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
+-- lincat Section ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
 
 lin
-  SDefObj lab cont obj typ df = 
+  SDefObj cont obj typ df = 
-    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ 
+    ss ("Definition" ++ "." ++ cont.s ++ 
         obj.s ++ "is" ++ "a" ++ typ.s ++ "," ++ "defined" ++ "as" ++ df.s ++ ".") ;  
-  SDefProp lab cont prop df = 
+  SDefProp cont prop df = 
-    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ "we" ++ "say" ++ 
+    ss ("Definition" ++ "." ++ cont.s ++ "we" ++ "say" ++ 
-        "that" ++ prop.s ++ "to" ++ "mean" ++ "that" ++ df.s ++ ".") ;  
+        "that" ++ prop.s ++ "if" ++ df.s ++ ".") ;  
-  SAxiom lab cont prop = 
+  SAxiom cont prop = 
-    ss ("Axiom" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ ".") ;
+    ss ("Axiom" ++ "." ++ cont.s ++ prop.s ++ ".") ;
-  STheorem lab cont prop proof = 
+  STheorem cont prop proof = 
-    ss ("Theorem" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ "." ++ proof.s ++ ".") ;
+    ss ("Theorem" ++ "." ++ 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 ;
 
   V_x = ss "x" ;
   V_y = ss "y" ;

examples/math/MathSwz.gf

@@ -4,28 +4,25 @@ concrete MathSwz of Mathw = open Prelude in {
 
 flags lexer = textlit ; unlexer = textlit ;
 
--- lincat Section ; Label ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
+-- lincat Section ; Context ; Typ ; Obj ; Prop ; Proof ; Var ;
 
 lin
-  SDefObj lab cont obj typ df = 
+  SDefObj cont obj typ df = 
-    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ 
+    ss ("Definition" ++ "." ++ cont.s ++ 
         obj.s ++ "är" ++ "ett" ++ typ.s ++ "," ++ "definierat" ++ "som" ++ df.s ++ ".") ;  
-  SDefProp lab cont prop df = 
+  SDefProp cont prop df = 
-    ss ("Definition" ++ lab.s ++ "." ++ cont.s ++ "vi" ++ "säger" ++ 
+    ss ("Definition" ++ "." ++ cont.s ++ "vi" ++ "säger" ++ 
-        "att" ++ prop.s ++ "vilket" ++ "menar" ++ "att" ++ df.s ++ ".") ;  
+        "att" ++ prop.s ++ "om" ++ df.s ++ ".") ;  
-  SAxiom lab cont prop = 
+  SAxiom cont prop = 
-    ss ("Axiom" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ ".") ;
+    ss ("Axiom" ++ "." ++ cont.s ++ prop.s ++ ".") ;
-  STheorem lab cont prop proof = 
+  STheorem cont prop proof = 
-    ss ("Theorem" ++ lab.s ++ "." ++ cont.s ++ prop.s ++ "." ++ proof.s ++ ".") ;
+    ss ("Theorem" ++ "." ++ cont.s ++ prop.s ++ "." ++ proof.s ++ ".") ;
 
   CEmpty = ss [] ;
   CObj vr typ co = ss ("låt" ++ vr.s ++ "vara" ++ "ett" ++ typ.s ++ "." ++ co.s) ;
   CProp prop co = ss ("anta" ++ "att" ++ prop.s ++ "." ++ co.s) ;
 
   OVar v = v ;
-  LNone = ss [] ;
-  LString s = s ;
-  VString s = s ;
 
   V_x = ss "x" ;
   V_y = ss "y" ;