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arXiv · 1604.05994

Q-Resolution with Generalized Axioms

Florian Lonsing·Uwe Egly·Martina Seidl
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Abstract

Q-resolution is a proof system for quantified Boolean formulas (QBFs) in prenex conjunctive normal form (PCNF) which underlies search-based QBF solvers with clause and cube learning (QCDCL). With the aim to derive and learn stronger clauses and cubes earlier in the search, we generalize the axioms of the Q-resolution calculus resulting in an exponentially more powerful proof system. The generalized axioms introduce an interface of Q-resolution to any other QBF proof system allowing for the direct combination of orthogonal solving techniques. We implemented a variant of the Q-resolution calculus with generalized axioms in the QBF solver DepQBF. As two case studies, we apply integrated SAT solving and resource-bounded QBF preprocessing during the search to heuristically detect potential axiom applications. Experiments with application benchmarks indicate a substantial performance improvement.

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Florian Lonsing, Uwe Egly, Martina Seidl. 2016-04-20. Q-Resolution with Generalized Axioms. https://doi.org/10.1007/978-3-319-40970-2_27

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