Publication detail

Solving dependency quantified Boolean formulas using quantifier localization

SÍČ, J. GE-ERNST, A. SCHOLL, C. WIMMER, R.

Original Title

Solving dependency quantified Boolean formulas using quantifier localization

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

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

Authors

SÍČ, J.; GE-ERNST, A.; SCHOLL, C.; WIMMER, R.

Released

10. 8. 2022

ISBN

0304-3975

Periodical

Theoretical Computer Science

Year of study

2022

Number

925

State

Kingdom of the Netherlands

Pages from

1

Pages to

24

Pages count

24

URL

https://dx.doi.org/10.1016/j.tcs.2022.03.029

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"
}