src/FOLP/ROOT.ML

new distributive laws

(*  Title:      FOLP/ROOT
    ID:         $Id$
    Author:     martin Coen, Cambridge University Computer Laboratory
    Copyright   1993  University of Cambridge

Modifed version of Lawrence Paulson's FOL that contains proof terms.

Presence of unknown proof term means that matching does not behave as expected.
*)

val banner = "First-Order Logic with Natural Deduction with Proof Terms";

writeln banner;

print_depth 1;

use_thy "IFOLP";
use_thy "FOLP";

use "hypsubst.ML";
use "classical.ML";      (* Patched 'cos matching won't instantiate proof *)
use "simp.ML";           (* Patched 'cos matching won't instantiate proof *)


(*** Applying HypsubstFun to generate hyp_subst_tac ***)

structure Hypsubst_Data =
  struct
  (*Take apart an equality judgement; otherwise raise Match!*)
  fun dest_eq (Const("Proof",_) $ (Const("op =",_)  $ t $ u) $ _) = (t,u);

  val imp_intr = impI

  (*etac rev_cut_eq moves an equality to be the last premise. *)
  val rev_cut_eq = prove_goal IFOLP.thy 
                "[| p:a=b;  !!x. x:a=b ==> f(x):R |] ==> ?p:R"
   (fn prems => [ REPEAT(resolve_tac prems 1) ]);

  val rev_mp = rev_mp
  val subst = subst
  val sym = sym
  val thin_refl = prove_goal IFOLP.thy 
		  "!!X. [|p:x=x; PROP W|] ==> PROP W" (K [atac 1]);
  end;

structure Hypsubst = HypsubstFun(Hypsubst_Data);
open Hypsubst;

use "intprover.ML";

(*** Applying ClassicalFun to create a classical prover ***)
structure Classical_Data = 
  struct
  val sizef = size_of_thm
  val mp = mp
  val not_elim = notE
  val swap = swap
  val hyp_subst_tacs=[hyp_subst_tac]
  end;

structure Cla = ClassicalFun(Classical_Data);
open Cla;

(*Propositional rules 
  -- iffCE might seem better, but in the examples in ex/cla
     run about 7% slower than with iffE*)
val prop_cs = empty_cs addSIs [refl,TrueI,conjI,disjCI,impI,notI,iffI] 
                       addSEs [conjE,disjE,impCE,FalseE,iffE];

(*Quantifier rules*)
val FOLP_cs = prop_cs addSIs [allI] addIs [exI,ex1I] 
                      addSEs [exE,ex1E] addEs [allE];

val FOLP_dup_cs = prop_cs addSIs [allI] addIs [exCI,ex1I] 
                          addSEs [exE,ex1E] addEs [all_dupE];

use "simpdata.ML";


print_depth 8;