B-Cubing: New Possibilities for Efficient SAT-Solving

  • Authors:
  • Domagoj Babic;Jesse Bingham;Alan J. Hu

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2006

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Abstract

SAT (Boolean satisfiability) has become the primary Boolean reasoning engine for many EDA (electronic design automation) applications, so the efficiency of SAT-solving is of great practical importance. B-cubing is our extension and generalization of Goldberg et al.'s supercubing, an approach to pruning in SAT-solving completely different from the standard approach used in leading solvers. We have built a B-cubing-based solver that is competitive with, and often outperforms, leading conventional solvers (e.g., ZChaff II) on a wide range of EDA benchmarks. However, B-cubing is hard to understand and even the correctness of the algorithm is not obvious. This paper presents the theoretical basis for B-cubing, proves our approach correct, details our implementation and experimental results, and maps out other correct possibilities for further improving SAT-solving.