On Unification of QBF Resolution-Based Calculi

  • Olaf Beyersdorff
  • Leroy Chew
  • Mikoláš Janota
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8635)


Several calculi for quantified Boolean formulas (QBFs) exist, but relations between them are not yet fully understood. This paper defines a novel calculus, which is resolution-based and enables unification of the principal existing resolution-based QBF calculi, namely Q-resolution, long-distance Q-resolution and the expansion-based calculus ∀Exp+Res. All these calculi play an important role in QBF solving. This paper shows simulation results for the new calculus and some of its variants. Further, we demonstrate how to obtain winning strategies for the universal player from proofs in the calculus. We believe that this new proof system provides an underpinning necessary for formal analysis of modern QBF solvers.


Proof System Conjunctive Normal Form Winning Strategy Boolean Formula Universal Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Olaf Beyersdorff
    • 1
  • Leroy Chew
    • 1
  • Mikoláš Janota
    • 2
  1. 1.School of ComputingUniversity of LeedsUnited Kingdom
  2. 2.INESC-IDLisbonPortugal

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