Dependency Schemes for DQBF

  • Ralf WimmerEmail author
  • Christoph Scholl
  • Karina Wimmer
  • Bernd Becker
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9710)


Dependency schemes allow to identify variable independencies in QBFs or DQBFs. For QBF, several dependency schemes have been proposed, which differ in the number of independencies they are able to identify. In this paper, we analyze the spectrum of dependency schemes that were proposed for QBF. It turns out that only some of them are sound for DQBF. For the sound ones, we provide a correctness proof, for the others counter examples. Experiments show that a significant number of dependencies can either be added to or removed from a formula without changing its truth value, but with significantly increasing the flexibility for modifying the representation.


Conjunctive Normal Form Unique Fixed Point Boolean Formula Universal Expansion 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.



We thank the anonymous reviewers for their really helpful comments.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Ralf Wimmer
    • 1
    • 2
    Email author
  • Christoph Scholl
    • 1
  • Karina Wimmer
    • 1
  • Bernd Becker
    • 1
  1. 1.Albert-Ludwigs-Universität Freiburg im BreisgauFreiburg im BreisgauGermany
  2. 2.Dependable Systems and SoftwareSaarland UniversitySaarbrückenGermany

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