Moving Definition Variables in Quantified Boolean Formulas

Author:

Reeves Joseph E.ORCID,Heule Marijn J. H.ORCID,Bryant Randal E.ORCID

Abstract

AbstractAugmenting problem variables in a quantified Boolean formula with definition variables enables a compact representation in clausal form. Generally these definition variables are placed in the innermost quantifier level. To restore some structural information, we introduce a preprocessing technique that moves definition variables to the quantifier level closest to the variables that define them. We express the movement in the QRAT proof system to allow verification by independent proof checkers. We evaluated definition variable movement on the QBFEVAL’20 competition benchmarks. Movement significantly improved performance for the competition’s top solvers. Combining variable movement with the preprocessor Bloqqer improves solver performance compared to using Bloqqer alone.

Publisher

Springer International Publishing

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantifier Shifting for Quantified Boolean Formulas Revisited;Lecture Notes in Computer Science;2024

2. True Crafted Formula Families for Benchmarking Quantified Satisfiability Solvers;Lecture Notes in Computer Science;2023

3. Automating network heuristic design and analysis;Proceedings of the 21st ACM Workshop on Hot Topics in Networks;2022-11-14

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