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Enhancing MaxSAT Local Search via a Unified Soft Clause Weighting Scheme

Authors Yi Chu , Chu-Min Li , Furong Ye , Shaowei Cai

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Author Details

Yi Chu
  • Institute of Software, Chinese Academy of Sciences, Beijing, China
Chu-Min Li
  • MIS, UR 4290, Université de Picardie Jules Verne, Amiens, France
  • Aix Marseille Univ, Université de Toulon, CNRS, LIS, Marseille, France
Furong Ye
  • Key Laboratory of System Software, Chinese Academy of Sciences, Beijing, China
  • State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China
Shaowei Cai
  • Key Laboratory of System Software, Chinese Academy of Sciences, Beijing, China
  • State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China

Funding

This work was supported by the National Natural Science Foundation of China under Grant 62302492, and the French Agence Nationale de la Recherche, via AI chair ANR-19-CHIA- 0013-01 (Massal’IA).

Cite AsGet BibTex

Yi Chu, Chu-Min Li, Furong Ye, and Shaowei Cai. Enhancing MaxSAT Local Search via a Unified Soft Clause Weighting Scheme. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 8:1-8:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.SAT.2024.8

Abstract

Local search has been widely applied to solve the well-known (weighted) partial MaxSAT problem, significantly influencing many real-world applications. The main difficulty to overcome when designing a local search algorithm is that it can easily fall into local optima. Clause weighting is a beneficial technique that dynamically adjusts the landscape of search space to help the algorithm escape from local optima. Existing works tend to increase the weights of falsified clauses, and such strategies may result in an unpredictable landscape of search space during the optimization process. Therefore, in this paper, we propose a Unified Soft Clause Weighting Scheme called Unified-SW, which increases the weights of all soft clauses in feasible local optima, whether they are satisfied or not, while preserving the hierarchy among them. We implemented Unified-SW in a new local search solver called USW-LS. Experimental results demonstrate that USW-LS, outperforms the state-of-the-art local search solvers across benchmarks from anytime tracks of recent MaxSAT Evaluations. More promisingly, a hybrid solver combining USW-LS and TT-Open-WBO-Inc won all four categories in the anytime track of MaxSAT Evaluation 2023.

Subject Classification

ACM Subject Classification
  • Theory of computation → Randomized local search
Keywords
  • Weighted Partial MaxSAT
  • Local Search Method
  • Weighting Scheme

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Supplementary Materials

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