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Paulo J. Matos

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2

ECAI Conference 2008 Conference Paper

A MAX-SAT Algorithm Portfolio

  • Paulo J. Matos
  • Jordi Planes
  • Florian Letombe
  • João Marques-Silva 0001

The results of the last MaxSAT Evaluations suggest there is no universal best algorithm for solving MaxSAT, as the fastest solver often depends on the type of instance. Having an oracle able to predict the most suitable MaxSAT solver for a given instance would result in the most robust solver. Inspired by the success of SATzilla for SAT, this paper describes the first approach for a portfolio of algorithms for MaxSAT. Compared to existing solvers, the resulting portfolio can achieve significant performance improvements on a representative set of instances.

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SAT Conference 2006 Conference Paper

Counting Models in Integer Domains

  • António Morgado 0001
  • Paulo J. Matos
  • Vasco Manquinho
  • João Marques-Silva 0001

Abstract This paper addresses the problem of counting models in integer linear programming (ILP) using Boolean Satisfiability (SAT) techniques, and proposes two approaches to solve this problem. The first approach consists of encoding ILP instances into pseudo-Boolean (PB) instances. Moreover, the paper introduces a model counter for PB constraints, which can be used for counting models in PB as well as in ILP. A second alternative approach consists of encoding instances of ILP into instances of SAT. A two-step procedure is proposed, consisting of first mapping the ILP instance into PB constraints and then encoding the PB constraints into SAT. One key observation is that not all existing PB to SAT encodings can be used for counting models. The paper provides conditions for PB to SAT encodings that can be safely used for model counting, and proves that some of the existing encodings are safe for model counting while others are not. Finally, the paper provides experimental results, comparing the PB and SAT approaches, as well as existing alternative solutions.

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