Using Problem Symmetry in Search Based Satisfiability Algorithms

  • Authors:
  • E. Goldberg;M. Prasad;R. Brayton

  • Affiliations:
  • Cadence Berkeley Laboratories, Berkeley, CA;Fujitsu Labs. of America, Sunnyvale, CA;Dept. of EECS, University of California, Berkeley

  • Venue:
  • Proceedings of the conference on Design, automation and test in Europe
  • Year:
  • 2002

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Abstract

We introduce the notion of problem symmetry in search-basedSAT algorithms. We develop a theory of essentialpoints to formally characterize the potential search-spacepruning that can be realized by exploiting problem symmetry.We unify several search-pruning techniques used inmodern SAT solvers under a single framework, by showingthem to be special cases of the general theory of essentialpoints. We also propose a new pruning rule exploitingproblem symmetry. Preliminary experimental results validatethe efficacy of this rule in providing additional search-spacepruning beyond the pruning realized by techniquesimplemented in leading-edge SAT solvers.