src/Tools/Metis/src/Clause.sig
author wenzelm
Fri, 02 Oct 2009 22:15:08 +0200
changeset 32861 105f40051387
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child 39353 7f11d833d65b
permissions -rw-r--r--
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(* ========================================================================= *)
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(* CLAUSE = ID + THEOREM                                                     *)
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(* Copyright (c) 2002-2006 Joe Hurd, distributed under the BSD License *)
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(* ========================================================================= *)
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signature Clause =
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sig
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(* ------------------------------------------------------------------------- *)
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(* A type of clause.                                                         *)
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(* ------------------------------------------------------------------------- *)
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datatype literalOrder =
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    NoLiteralOrder
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  | UnsignedLiteralOrder
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  | PositiveLiteralOrder
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type parameters =
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     {ordering : KnuthBendixOrder.kbo,
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      orderLiterals : literalOrder,
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      orderTerms : bool}
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type clauseId = int
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type clauseInfo = {parameters : parameters, id : clauseId, thm : Thm.thm}
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type clause
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(* ------------------------------------------------------------------------- *)
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(* Basic operations.                                                         *)
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(* ------------------------------------------------------------------------- *)
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val default : parameters
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val newId : unit -> clauseId
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val mk : clauseInfo -> clause
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val dest : clause -> clauseInfo
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val id : clause -> clauseId
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val thm : clause -> Thm.thm
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val equalThms : clause -> clause -> bool
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val literals : clause -> Thm.clause
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val isTautology : clause -> bool
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val isContradiction : clause -> bool
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(* ------------------------------------------------------------------------- *)
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(* The term ordering is used to cut down inferences.                         *)
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(* ------------------------------------------------------------------------- *)
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val largestLiterals : clause -> LiteralSet.set
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val largestEquations :
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    clause -> (Literal.literal * Rewrite.orient * Term.term) list
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val largestSubterms :
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    clause -> (Literal.literal * Term.path * Term.term) list
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val allSubterms : clause -> (Literal.literal * Term.path * Term.term) list
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(* ------------------------------------------------------------------------- *)
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(* Subsumption.                                                              *)
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(* ------------------------------------------------------------------------- *)
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val subsumes : clause Subsume.subsume -> clause -> bool
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(* ------------------------------------------------------------------------- *)
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(* Simplifying rules: these preserve the clause id.                          *)
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(* ------------------------------------------------------------------------- *)
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val freshVars : clause -> clause
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val simplify : clause -> clause option
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val reduce : Units.units -> clause -> clause
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val rewrite : Rewrite.rewrite -> clause -> clause
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(* ------------------------------------------------------------------------- *)
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(* Inference rules: these generate new clause ids.                           *)
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(* ------------------------------------------------------------------------- *)
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val factor : clause -> clause list
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val resolve : clause * Literal.literal -> clause * Literal.literal -> clause
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val paramodulate :
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    clause * Literal.literal * Rewrite.orient * Term.term ->
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    clause * Literal.literal * Term.path * Term.term -> clause
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(* ------------------------------------------------------------------------- *)
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(* Pretty printing.                                                          *)
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(* ------------------------------------------------------------------------- *)
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val showId : bool ref
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val pp : clause Parser.pp
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end