License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SAT.2022.31
URN: urn:nbn:de:0030-drops-167058
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Jung, Jean Christoph ; Mayer-Eichberger, Valentin ; Saffidine, Abdallah

QBF Programming with the Modeling Language Bule

LIPIcs-SAT-2022-31.pdf (0.8 MB)


We introduce Bule, a modeling language for problems from the complexity class PSPACE via quantified Boolean formulas (QBF) - that is, propositional formulas in which the variables are existentially or universally quantified. Bule allows the user to write a high-level representation of the problem in a natural, rule-based language, that is inspired by stratified Datalog. We implemented a tool of the same name that converts the high-level representation into DIMACS format and thus provides an interface to aribtrary QBF solvers, so that the modeled problems can also be solved. We analyze the complexity-theoretic properties of our modeling language, provide a library for common modeling patterns, and evaluate our language and tool on several examples.

BibTeX - Entry

  author =	{Jung, Jean Christoph and Mayer-Eichberger, Valentin and Saffidine, Abdallah},
  title =	{{QBF Programming with the Modeling Language Bule}},
  booktitle =	{25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)},
  pages =	{31:1--31:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-242-6},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{236},
  editor =	{Meel, Kuldeep S. and Strichman, Ofer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-167058},
  doi =		{10.4230/LIPIcs.SAT.2022.31},
  annote =	{Keywords: Modeling, QBF Programming, CNF Encodings}

Keywords: Modeling, QBF Programming, CNF Encodings
Collection: 25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)
Issue Date: 2022
Date of publication: 28.07.2022
Supplementary Material: Software (Source Code):

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