Local search for quantified Boolean formulas

  • Authors:
  • N. Hristov;A. Remshagen

  • Affiliations:
  • University of West Georgia, Carrollton, Georgia;University of West Georgia, Carrollton, Georgia

  • Venue:
  • Proceedings of the 43rd annual Southeast regional conference - Volume 1
  • Year:
  • 2005

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Abstract

Emerging applications demand to solve problems that are considered to be more difficult than NP-complete problems. Evaluating a quantified Boolean formula (QBF) is one of those problems. For the satisfiability problem (SAT), the NP-complete subclass of QBF, excellent solvers have been developed. However, research on subclasses of QBF at higher levels has only recently surged. We explore the possibility and potential of local search algorithms, which have been proved to be very successful in the case of SAT. Though local search cannot be applied directly to QBF, we introduce an approach to solve QBF at the second level of the polynomial hierarchy that profits significantly from local search.