completed book examples

book/examples/chapter6/Arithm.gf

@@ -0,0 +1,30 @@
+abstract Arithm = {
+  cat
+    Prop ;                        -- proposition
+    Nat ;                         -- natural number
+  data
+    Zero : Nat ;                  -- 0
+    Succ : Nat -> Nat ;           -- the successor of x
+  fun
+    Even : Nat -> Prop ;          -- x is even
+    And  : Prop -> Prop -> Prop ; -- A and B
+
+  cat Less Nat Nat ; 
+  data LessZ : (y : Nat) -> Less Zero (Succ y) ;
+  data LessS : (x,y : Nat) -> Less x y -> Less (Succ x) (Succ y) ;
+
+  cat Span ;
+  data FromTo : (m,n : Nat) -> Less m n -> Span ;
+
+  fun one : Nat ;
+  def one = Succ Zero ;
+
+  fun twice : Nat -> Nat ;
+  def twice x = plus x x ;
+
+  fun plus : Nat -> Nat -> Nat ;
+  def 
+    plus x Zero = x ;
+    plus x (Succ y) = Succ (plus x y) ;
+
+} 

book/examples/chapter6/ClassesEng.gf

@@ -18,8 +18,8 @@ lin
   Fan = mkCN (mkN "fan") ;
   Switchable, Dimmable = <> ;
   
-  SwitchOn = mkV2 (mkV "on" (mkV "switch")) ;
-  SwitchOff = mkV2 (mkV "off" (mkV "switch")) ;
+  SwitchOn = mkV2 (partV (mkV "switch") "on") ;
+  SwitchOff = mkV2 (partV (mkV "switch") "off") ;
   Dim = mkV2 (mkV "dim") ;
 
   switchable_Light = <> ;

book/examples/chapter6/Smart.gf

@@ -0,0 +1,16 @@
+abstract Smart = {
+
+  cat
+    Command ;
+    Kind ; 
+    Device Kind ; 
+    Action Kind ; 
+
+  fun 
+    Act : (k : Kind) -> Action k -> Device k -> Command ;
+    The : (k : Kind) -> Device k ;  -- the light
+    Light, Fan : Kind ;
+    Dim : Action Light ;
+    SwitchOn, SwitchOff : (k : Kind) -> Action k ;
+
+}