src/HOL/cladata.ML
author oheimb
Wed Feb 25 20:29:58 1998 +0100 (1998-02-25)
changeset 4653 d60f76680bf4
parent 4535 f24cebc299e4
child 5929 890f2f9b926d
permissions -rw-r--r--
renamed rep_claset to rep_cs
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(*  Title:      HOL/cladata.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow
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    Copyright   1996  University of Cambridge
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Setting up the classical reasoner.
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*)
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(** Applying HypsubstFun to generate hyp_subst_tac **)
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section "Classical Reasoner";
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structure Hypsubst_Data =
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  struct
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  structure Simplifier = Simplifier
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  (*Take apart an equality judgement; otherwise raise Match!*)
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  fun dest_eq (Const("op =",T)  $ t $ u) = (t, u, domain_type T)
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  val dest_Trueprop = HOLogic.dest_Trueprop
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  val dest_imp = HOLogic.dest_imp
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  val eq_reflection = eq_reflection
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  val imp_intr = impI
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  val rev_mp = rev_mp
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  val subst = subst
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  val sym = sym
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  val thin_refl = prove_goal HOL.thy 
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		  "!!X. [|x=x; PROP W|] ==> PROP W" (K [atac 1]);
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  end;
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structure Hypsubst = HypsubstFun(Hypsubst_Data);
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open Hypsubst;
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(*** Applying ClassicalFun to create a classical prover ***)
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structure Classical_Data = 
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  struct
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  val sizef     = size_of_thm
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  val mp        = mp
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  val not_elim  = notE
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  val classical = classical
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  val hyp_subst_tacs=[hyp_subst_tac]
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  end;
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structure Classical = ClassicalFun(Classical_Data);
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open Classical;
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(*Propositional rules*)
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val prop_cs = empty_cs addSIs [refl,TrueI,conjI,disjCI,impI,notI,iffI]
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                       addSEs [conjE,disjE,impCE,FalseE,iffCE];
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(*Quantifier rules*)
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val HOL_cs = prop_cs addSIs [allI,ex_ex1I] addIs [exI, select_equality] 
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                     addSEs [exE] addEs [allE];
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claset_ref() := HOL_cs;
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(*Better then ex1E for classical reasoner: needs no quantifier duplication!*)
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qed_goal "alt_ex1E" thy
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    "[| ?! x. P(x);                                              \
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\       !!x. [| P(x);  ALL y y'. P(y) & P(y') --> y=y' |] ==> R  \
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\    |] ==> R"
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 (fn major::prems =>
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  [ (rtac (major RS ex1E) 1),
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    (REPEAT (ares_tac (allI::prems) 1)),
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    (etac (dup_elim allE) 1),
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    (Fast_tac 1)]);
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AddSEs [alt_ex1E];
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(*** Applying BlastFun to create Blast_tac ***)
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structure Blast_Data = 
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  struct
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  type claset	= Classical.claset
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  val notE	= notE
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  val ccontr	= ccontr
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  val contr_tac = Classical.contr_tac
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  val dup_intr	= Classical.dup_intr
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  val hyp_subst_tac = Hypsubst.blast_hyp_subst_tac
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  val claset	= Classical.claset
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  val rep_cs    = Classical.rep_cs
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  end;
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structure Blast = BlastFun(Blast_Data);
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Blast.overloaded ("op =", domain_type);	(*overloading of equality as iff*)
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val Blast_tac = Blast.Blast_tac
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and blast_tac = Blast.blast_tac;