| author | wenzelm |
| Sun, 22 Aug 2010 16:43:20 +0200 | |
| changeset 38576 | ce3eed2b16f7 |
| parent 23510 | 4521fead5609 |
| child 39353 | 7f11d833d65b |
| permissions | -rw-r--r-- |
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23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ========================================================================= *) |
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028e39e5e8f3
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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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The Metis prover (slightly modified version from Larry);
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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 |