Combining Resolution-Path Dependencies with Dependency Learning

  • Tomáš PeitlEmail author
  • Friedrich Slivovsky
  • Stefan Szeider
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11628)


We present the first practical implementation of the reflexive resolution-path dependency scheme in a QBF solver. Unlike in DepQBF, which uses the less general standard dependency scheme, we do not compute the dependency relation upfront, but instead query relevant dependencies on demand during dependency conflicts, when the solver is about to learn a missing dependency. Thus, our approach is fundamentally tied to dependency learning, and shows that the two techniques for dependency analysis can be fruitfully combined. As a byproduct, we propose a quasilinear-time algorithm to compute all resolution-path dependencies of a given variable. Experimental results on the QBF library confirm the viability of our technique and identify families of formulas where the speedup is particularly promising.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tomáš Peitl
    • 1
    Email author
  • Friedrich Slivovsky
    • 1
  • Stefan Szeider
    • 1
  1. 1.Algorithms and Complexity GroupTU WienViennaAustria

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