LIPIcs.CP.2021.28.pdf
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Refined Core Relaxation for Core-Guided MaxSAT Solving
Authors
Jeremias Berg 
,
Matti Järvisalo
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27th International Conference on Principles and Practice of Constraint Programming (CP 2021)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Conference on Principles and Practice of Constraint Programming (CP) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2021-10-15
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Hannes Ihalainen, Jeremias Berg, and Matti Järvisalo. Refined Core Relaxation for Core-Guided MaxSAT Solving. In 27th International Conference on Principles and Practice of Constraint Programming (CP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 210, pp. 28:1-28:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/LIPIcs.CP.2021.28
https://doi.org/10.4230/LIPIcs.CP.2021.28
Abstract
Maximum satisfiability (MaxSAT) is a viable approach to solving NP-hard optimization problems. In the realm of core-guided MaxSAT solving - one of the most effective MaxSAT solving paradigms today - algorithmic variants employing so-called soft cardinality constraints have proven very effective. In this work, we propose to combine weight-aware core extraction (WCE) - a recently proposed approach that enables relaxing multiple cores instead of a single one during iterations of core-guided search - with a novel form of structure sharing in the cardinality-based core relaxation steps performed in core-guided MaxSAT solvers. In particular, the proposed form of structure sharing is enabled by WCE, which has so-far not been widely integrated to MaxSAT solvers, and allows for introducing fewer variables and clauses during the MaxSAT solving process. Our results show that the proposed techniques allow for avoiding potential overheads in the context of soft cardinality constraint based core-guided MaxSAT solving both in theory and in practice. In particular, the combination of WCE and structure sharing improves the runtime performance of a state-of-the-art core-guided MaxSAT solver implementing the central OLL algorithm.
Subject Classification
ACM Subject Classification
- Mathematics of computing → Combinatorial optimization
- Theory of computation → Constraint and logic programming
Keywords
- maximum satisfiability
- MaxSAT
- core-guided MaxSAT solving
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References
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