Characterizing SAT Problems with the Row Convexity Property

  • Authors:
  • Hachemi Bennaceur;Chu Min Li

  • Affiliations:
  • -;-

  • Venue:
  • CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
  • Year:
  • 2002

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Abstract

Using the literal encoding of the satisfiability problem (SAT) as a binary constraint satisfaction problem (CSP), we relate the path consistency concept and the row convexity of CSPs with the inference rules in the propositional logic field. Then, we use this result to propose a measure characterizing satisfiable and unsatisfiable 3-SAT instances. The correlation between the computational results allows us to validate this measure.