Single-solver algorithms for 2QBF

  • Authors:
  • Sam Bayless;Alan J. Hu

  • Affiliations:
  • University of British Columbia, Vancouver, Canada;University of British Columbia, Vancouver, Canada

  • Venue:
  • SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
  • Year:
  • 2012

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Abstract

2QBF is a restriction of QBF, in which at most one quantifier alternation is allowed. This simplifying assumption makes the problem easier to reason about, and allows for simpler unit propagation and clause/cube learning procedures. We introduce two new 2QBF algorithms that take advantage of 2QBF specifically. The first improves upon earlier work by Ranjan, Tang, and Malik (2004), while the second introduces a new ‘free' decision heuristic that doesn't need to respect quantifier order. Implementations of both new algorithms perform better than two state-of-the-art general QBF solvers on formal verification and AI planning instances.