Capturing Structure with Satisfiability

  • Authors:
  • Ramón Béjar;Alba Cabiscol;Cèsar Fernàndez;Felip Manyà;Carla P. Gomes

  • Affiliations:
  • -;-;-;-;-

  • Venue:
  • CP '01 Proceedings of the 7th International Conference on Principles and Practice of Constraint Programming
  • Year:
  • 2001

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Abstract

We present Regular-SAT, an extension of Boolean Satisfiability basedon a class of many-valuedCNF formulas. Regular-SAT shares many properties with Boolean SAT, which allows us to generalize some of the best known SAT results and apply them to Regular-SAT. In addition, Regular-SAT has a number of advantages over Boolean SAT. Most importantly, it produces more compact encodings that capture problem structure more naturally. Furthermore, its simplicity allows us to develop Regular-SAT solvers that are competitive with SAT and CSP procedures. We present a detailed performance analysis of Regular-SAT on several benchmark domains. These results show a clear computational advantage of using a Regular-SAT approach over a pure Boolean SAT or CSP approach, at least on the domains under consideration. We therefore believe that an approach basedon Regular-SAT provides a compelling intermediate approach between SAT and CSPs, bringing together some of the best features of each paradigm.