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用反例引导的精化方法求解量化布尔公式(QBF)

Solving QBF with Counterexample Guided Refinement

Mikoláš Janota, William Klieber, Joao Marques-Silva, Edmund Clarke

arXiv 2608.14322首次发表:更新:

AI 中文总结

该研究提出两种结合CEGAR的QBF求解新方法,经实验验证,CEGAR驱动的求解器性能优于现有求解器,且该学习技术可提升基于DPLL的QBF求解器性能,为QBF研究开辟了新方向。

AI 中文摘要

我们提出两种在量化布尔公式(QBF)求解器中使用反例引导的抽象精化(CEGAR)的新方法。第一种方法开发了一种递归算法,其搜索由CEGAR驱动(而非DPLL)。第二种方法将CEGAR作为额外的学习技术应用于现有基于DPLL的QBF求解器。对实现的原型进行的实验评估表明,在QBF-LIB的多个测试族上,由CEGAR驱动的求解器性能优于现有求解器,且采用该额外学习技术的DPLL求解器也从中受益。因此,本文为QBF研究开辟了两个有前景的方向:作为现有方法替代方案的CEGAR驱动求解器,以及DPLL中一种新型学习技术。

英文摘要

We propose two novel approaches for using Counterexample-Guided Abstraction Refinement (CEGAR) in Quantified Boolean Formula (QBF) solvers. The first approach develops a recursive algorithm whose search is driven by CEGAR (rather than by DPLL). The second approach employs CEGAR as an additional learning technique in an existing DPLL-based QBF solver. Experimental evaluation of the implemented prototypes shows that the CEGAR-driven solver outperforms existing solvers on a number of families in the QBF-LIB and that the DPLL solver benefits from the additional type of learning. Thus this article opens two promising avenues in QBF: CEGAR-driven solvers as an alternative to existing approaches and a novel type of learning in DPLL.

DOI:10.1007/978-3-642-31612-8_10

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