src/FOL/ex/Prolog.thy
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     1 (*  Title: 	FOL/ex/prolog.thy
       
     2     ID:         $Id$
       
     3     Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
       
     4     Copyright   1992  University of Cambridge
       
     5 
       
     6 First-Order Logic: PROLOG examples
       
     7 
       
     8 Inherits from FOL the class term, the type o, and the coercion Trueprop
       
     9 *)
       
    10 
       
    11 Prolog = FOL +
       
    12 types   list 1
       
    13 arities list    :: (term)term
       
    14 consts  Nil     :: "'a list"
       
    15         ":"     :: "['a, 'a list]=> 'a list"            (infixr 60)
       
    16         app     :: "['a list, 'a list, 'a list] => o"
       
    17         rev     :: "['a list, 'a list] => o"
       
    18 rules   appNil  "app(Nil,ys,ys)"
       
    19         appCons "app(xs,ys,zs) ==> app(x:xs, ys, x:zs)"
       
    20         revNil  "rev(Nil,Nil)"
       
    21         revCons "[| rev(xs,ys);  app(ys, x:Nil, zs) |] ==> rev(x:xs, zs)"
       
    22 end