Generating Satisfiable SAT Instances Using Random Subgraph Isomorphism

  • Authors:
  • Călin Anton;Lane Olson

  • Affiliations:
  • Grant MacEwan College, Edmonton, Canada and Augustana Faculty, University of Alberta, Camrose, Canada;Augustana Faculty, University of Alberta, Camrose, Canada

  • Venue:
  • Canadian AI '09 Proceedings of the 22nd Canadian Conference on Artificial Intelligence: Advances in Artificial Intelligence
  • Year:
  • 2009

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Abstract

We report preliminary empirical results on Generating Satisfiable SAT instances using a variation of the Random Subgraph Isomorphism model. The experiments show that the model exhibits an easy-hard-easy pattern of empirical hardness. For both complete and incomplete solvers the hardness of the instances at the peak seems to increase exponentially with the instance size. The hardness of the instances generated by the model appears to be comparable with that of Quasigroup with Holes instances, known to be hard for Satisfiability solvers. A handful of state of the art SAT solvers we tested have different performances with respect to each other, when applied to these instances.