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-/********************* */
-/*! \file arith_proof_recorder.h
- ** \verbatim
- ** Top contributors (to current version):
- ** Alex Ozdemir, Mathias Preiner
- ** This file is part of the CVC4 project.
- ** Copyright (c) 2009-2020 by the authors listed in the file AUTHORS
- ** in the top-level source directory) and their institutional affiliations.
- ** All rights reserved. See the file COPYING in the top-level source
- ** directory for licensing information.\endverbatim
- **
- ** \brief A class for recording the skeletons of arithmetic proofs at solve
- ** time so they can later be used during proof-production time.
- **
- ** In particular, we're interested in proving bottom from a conjunction of
- ** theory literals.
- **
- ** For now, we assume that this can be done using a Farkas combination, and if
- ** that doesn't work for some reason, then we give up and "trust" the lemma.
- ** In the future we'll build support for more sophisticated reasoning.
- **
- ** Given this scope, our task is to...
- ** for each lemma (a set of literals)
- ** save the Farkas coefficients for those literals
- ** which requires we save an ordering of the literals
- ** and a parallel ordering of Farkas coefficients.
- **
- ** Farkas proofs have the following core structure:
- ** For a list of affine bounds: c[i] dot x >= b[i]
- ** (x is a vector of variables)
- ** (c[i] is a vector of coefficients)
- ** and a list of non-negative coefficients: f[i],
- ** compute
- **
- ** sum_i{ (c[i] dot x) * f[i] } and sum_i{b[i]*f[i]}
- **
- ** and then verify that the left is actually < the right, a contradiction
- **
- ** To be clear: this code does not check Farkas proofs, it just stores the
- ** information needed to write them.
- **/
-
-#include "cvc4_private.h"
-
-#ifndef CVC4__PROOF__ARITH_PROOF_RECORDER_H
-#define CVC4__PROOF__ARITH_PROOF_RECORDER_H
-
-#include <map>
-#include <set>
-
-#include "expr/node.h"
-#include "theory/arith/constraint_forward.h"
-
-namespace CVC4 {
-namespace proof {
-
-class ArithProofRecorder
-{
- public:
- ArithProofRecorder();
-
- /**
- * @brief For a set of incompatible literals, save the Farkas coefficients
- * demonstrating their incompatibility
- *
- * @param conflict a conjunction of conflicting literals
- * @param farkasCoefficients a list of rational coefficients which the literals
- * should be multiplied by (pairwise) to produce a contradiction.
- *
- * The orders of the two vectors must agree!
- */
- void saveFarkasCoefficients(
- Node conflict, theory::arith::RationalVectorCP farkasCoefficients);
-
- /**
- * @brief Determine whether some literals have a Farkas proof of their
- * incompatibility
- *
- * @param conflict a conjunction of (putatively) conflicting literals
- *
- * @return whether or not there is actually a proof for them.
- */
- bool hasFarkasCoefficients(const std::set<Node>& conflict) const;
-
- /**
- * @brief Get the Farkas Coefficients object
- *
- * @param conflict a conjunction of conflicting literals
- * @return theory::arith::RationalVectorCP -- the Farkas coefficients
- * Node -- a conjunction of the problem literals in coefficient order
- *
- * theory::arith::RationalVectorCPSentinel if there is no entry for
- * these lits
- */
- std::pair<Node, theory::arith::RationalVectorCP> getFarkasCoefficients(
- const std::set<Node>& conflict) const;
-
- protected:
- // For each lemma, save the Farkas coefficients of that lemma
- std::map<std::set<Node>, std::pair<Node, theory::arith::RationalVector>>
- d_lemmasToFarkasCoefficients;
-};
-
-} // namespace proof
-} // namespace CVC4
-
-#endif
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