Publication Details

Solving dependency quantified Boolean formulas using quantifier localization

SÍČ, J.; GE-ERNST, A.; SCHOLL, C.; WIMMER, R. Solving dependency quantified Boolean formulas using quantifier localization. Theoretical Computer Science, 2022, vol. 2022, no. 925, p. 1-24. ISSN: 0304-3975.
Czech title
Řešení závislostně kvantifikovaných Booleovských formulí pomocí lokalizace kvantifikátorů
Type
journal article
Language
English
Authors
Síč Juraj, Mgr. (DITS)
Ge-Ernst Aile
Scholl Christoph
Wimmer Ralf
URL
Keywords

Dependency quantified Boolean formulas, Henkin quantifier, Quantifier localization, Satisfiability, Solver technology

Abstract

Dependency quantified Boolean formulas (DQBFs) are a powerful formalism, which subsumes quantified Boolean formulas (QBFs) and allows an explicit specification of dependencies of existential variables on universal variables. Driven by the needs of various applications which can be encoded by DQBFs in a natural, compact, and elegant way, research on DQBF solving has emerged in the past few years. However, research focused on closed DQBFs in prenex form (where all quantifiers are placed in front of a propositional formula), while non-prenex DQBFs have almost not been studied in the literature. In this paper, we provide a formal definition for syntax and semantics of non-closed non-prenex DQBFs and prove useful properties enabling quantifier localization. Moreover, we make use of our theory by integrating quantifier localization into a state-of-the-art DQBF solver. Experiments with prenex DQBF benchmarks, including all instances from the QBFEVAL'18'20 competitions, clearly show that quantifier localization pays off in this context.

Published
2022
Pages
1–24
Journal
Theoretical Computer Science, vol. 2022, no. 925, ISSN 0304-3975
DOI
UT WoS
000828170700001
EID Scopus
BibTeX
@article{BUT179364,
  author="Juraj {Síč} and Aile {Ge-Ernst} and Christoph {Scholl} and Ralf {Wimmer}",
  title="Solving dependency quantified Boolean formulas using quantifier localization",
  journal="Theoretical Computer Science",
  year="2022",
  volume="2022",
  number="925",
  pages="1--24",
  doi="10.1016/j.tcs.2022.03.029",
  issn="0304-3975",
  url="https://dx.doi.org/10.1016/j.tcs.2022.03.029"
}
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