quant_proof_rules.h

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00001 /*****************************************************************************/
00002 /*!
00003  * \file quant_proof_rules.h
00004  * 
00005  * Author: Daniel Wichs
00006  * 
00007  * Created: Jul 07 22:22:38 GMT 2003
00008  *
00009  * <hr>
00010  *
00011  * License to use, copy, modify, sell and/or distribute this software
00012  * and its documentation for any purpose is hereby granted without
00013  * royalty, subject to the terms and conditions defined in the \ref
00014  * LICENSE file provided with this distribution.
00015  * 
00016  * <hr>
00017  * 
00018  */
00019 /*****************************************************************************/
00020 #ifndef _cvc3__quant_proof_rules_h_
00021 #define _cvc3__quant_proof_rules_h_
00022 
00023 #include <vector>
00024 
00025 namespace CVC3 {
00026 
00027   class Expr;
00028   class Theorem;
00029 
00030   class QuantProofRules {
00031   public:
00032     //! Destructor
00033     virtual ~QuantProofRules() { }
00034     
00035     virtual Theorem addNewConst(const Expr& e) =0;
00036     
00037     //! ==> NOT EXISTS (vars): e  IFF FORALL (vars) NOT e
00038     virtual Theorem rewriteNotExists(const Expr& e) = 0;
00039     
00040     //! ==> NOT FORALL (vars): e  IFF EXISTS (vars) NOT e 
00041     virtual Theorem rewriteNotForall(const Expr& e) = 0;
00042 
00043     //! Instantiate a  universally quantified formula
00044     /*! From T|-FORALL(var): e generate T|-e' where e' is obtained
00045      * from e by instantiating bound variables with terms in
00046      * vector<Expr>& terms.  The vector of terms should be the same
00047      * size as the vector of bound variables in e. Also elements in
00048      * each position i need to have matching types.
00049      * \param t1 is the quantifier (a Theorem)
00050      * \param terms are the terms to instantiate.
00051      * \param quantLevel is the quantification level for the theorem.
00052      */
00053     virtual Theorem universalInst(const Theorem& t1,
00054           const std::vector<Expr>& terms, int quantLevel) = 0;
00055 
00056     virtual Theorem universalInst(const Theorem& t1,
00057           const std::vector<Expr>& terms) = 0;
00058 
00059 
00060     virtual Theorem partialUniversalInst(const Theorem& t1,
00061            const std::vector<Expr>& terms,
00062            int quantLevel) = 0;
00063 
00064     /*! @brief From T|- QUANTIFIER (vars): e we get T|-QUANTIFIER(vars') e
00065      * where vars' is obtained from vars by removing all bound variables
00066      *  not used in e. If vars' is empty the produced theorem is just T|-e
00067      */
00068     virtual Theorem boundVarElim(const Theorem& t1) = 0;
00069 
00070     virtual Theorem packVar(const Theorem& t1) = 0;
00071 
00072     virtual Theorem pullVarOut(const Theorem& t1) = 0;
00073 
00074     virtual Theorem adjustVarUniv(const Theorem& t1, 
00075           const std::vector<Expr>& newBvs) = 0;
00076 
00077   }; 
00078 }
00079 #endif

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