An improved Õ(1.234m)-time deterministic algorithm for SAT

  • Authors:
  • Masaki Yamamoto

  • Affiliations:
  • Tokyo Institute of Technology

  • Venue:
  • ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
  • Year:
  • 2005

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Abstract

We improve an upper bound by Hirsch on a deterministic algorithm for solving general CNF satisfiability problem. With more detail analysis of Hirsch's algorithm, we give some improvements, by which we can prove an upper bound $\tilde{\mathcal{O}}(1.234^{m})$ w.r.t. the number m of input clauses, which improves Hirsch's bound $\tilde{\mathcal{O}}(1.239^{m})$.