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Incremental Cardinality Constraints for MaxSAT

  • Ruben Martins
  • Saurabh Joshi
  • Vasco Manquinho
  • Inês Lynce
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8656)

Abstract

Maximum Satisfiability (MaxSAT) is an optimization variant of the Boolean Satisfiability (SAT) problem. In general, MaxSAT algorithms perform a succession of SAT solver calls to reach an optimum solution making extensive use of cardinality constraints. Many of these algorithms are non-incremental in nature, i.e. at each iteration the formula is rebuilt and no knowledge is reused from one iteration to another. In this paper, we exploit the knowledge acquired across iterations using novel schemes to use cardinality constraints in an incremental fashion. We integrate these schemes with several MaxSAT algorithms. Our experimental results show a significant performance boost for these algorithms as compared to their non-incremental counterparts. These results suggest that incremental cardinality constraints could be beneficial for other constraint solving domains.

Keywords

Conjunctive Normal Form Cardinality Constraint Unit Clause Conjunctive Normal Form Formula Relaxation Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ruben Martins
    • 1
  • Saurabh Joshi
    • 1
  • Vasco Manquinho
    • 2
  • Inês Lynce
    • 2
  1. 1.Department of Computer ScienceUniversity of OxfordUK
  2. 2.INESC-ID / Instituto Superior TécnicoUniversidade de LisboaPortugal

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