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Strategy Extraction by Interpolation

Author Friedrich Slivovsky

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LIPIcs.SAT.2024.28.pdf
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Subject Classification

ACM Subject Classification
  • Theory of computation → Automated reasoning
Keywords
  • QBF
  • Expansion
  • Strategy Extraction
  • Interpolation

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Abstract

In applications, QBF solvers are often required to generate strategies. This typically involves a process known as strategy extraction, where a Boolean circuit encoding a strategy is computed from a proof. It has previously been observed that Craig interpolation in propositional logic can be seen as a special case of QBF strategy extraction. In this paper we explore this connection further and show that, conversely, any strategy for a false QBF corresponds to a sequence of interpolants in its complete (Herbrand) expansion. Inspired by this correspondence, we present a new strategy extraction algorithm for the expansion-based proof system Exp+Res. Its asymptotic running time matches the best known bound of O(mn) for a proof with m lines and n universally quantified variables. We report on experiments comparing this algorithm with a strategy extraction algorithm based on combining partial strategies, as well as with round-based strategy extraction.

Cite As Get BibTex

Friedrich Slivovsky. Strategy Extraction by Interpolation. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 28:1-28:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.SAT.2024.28

Author Details

Friedrich Slivovsky
  • Department of Computer Science, University of Liverpool, UK

Funding

Vienna Science and Technology Fund (WWTF) grant 10.47379/ICT19060.

Supplementary Materials

References

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