src/FOL/fologic.ML
author paulson
Fri, 18 Feb 2000 15:35:29 +0100
changeset 8255 38f96394c099
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child 9473 7d13a5ace928
permissions -rw-r--r--
new distributive laws
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(*  Title:      FOL/fologic.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson
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Abstract syntax operations for FOL.
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*)
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signature FOLOGIC =
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sig
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  val oT		: typ
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  val mk_Trueprop	: term -> term
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  val dest_Trueprop	: term -> term
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  val conj		: term
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  val disj		: term
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  val imp		: term
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  val mk_conj		: term * term -> term
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  val mk_disj		: term * term -> term
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  val mk_imp		: term * term -> term
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  val dest_imp	       	: term -> term*term
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  val all_const		: typ -> term
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  val mk_all		: term * term -> term
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  val exists_const	: typ -> term
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  val mk_exists		: term * term -> term
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  val eq_const		: typ -> term
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  val mk_eq		: term * term -> term
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  val dest_eq 		: term -> term*term
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end;
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structure FOLogic: FOLOGIC =
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struct
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val oT = Type("o",[]);
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val Trueprop = Const("Trueprop", oT-->propT);
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fun mk_Trueprop P = Trueprop $ P;
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fun dest_Trueprop (Const ("Trueprop", _) $ P) = P
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  | dest_Trueprop t = raise TERM ("dest_Trueprop", [t]);
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(** Logical constants **)
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val conj = Const("op &", [oT,oT]--->oT)
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and disj = Const("op |", [oT,oT]--->oT)
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and imp = Const("op -->", [oT,oT]--->oT);
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fun mk_conj (t1, t2) = conj $ t1 $ t2
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and mk_disj (t1, t2) = disj $ t1 $ t2
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and mk_imp (t1, t2) = imp $ t1 $ t2;
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fun dest_imp (Const("op -->",_) $ A $ B) = (A, B)
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  | dest_imp  t = raise TERM ("dest_imp", [t]);
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fun eq_const T = Const ("op =", [T, T] ---> oT);
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fun mk_eq (t, u) = eq_const (fastype_of t) $ t $ u;
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fun dest_eq (Const ("op =", _) $ lhs $ rhs) = (lhs, rhs)
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  | dest_eq t = raise TERM ("dest_eq", [t])
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fun all_const T = Const ("All", [T --> oT] ---> oT);
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fun mk_all (Free(x,T),P) = all_const T $ (absfree (x,T,P));
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fun exists_const T = Const ("Ex", [T --> oT] ---> oT);
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fun mk_exists (Free(x,T),P) = exists_const T $ (absfree (x,T,P));
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end;