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NLocalSAT: Boosting Local Search with Solution Prediction

Wenjie Zhang, Zeyu Sun, Qihao Zhu, Ge Li, Shaowei Cai, Yingfei Xiong, Lu Zhang

202031 citationsDOIOpen Access PDF

Abstract

The Boolean satisfiability problem (SAT) is a famous NP-complete problem in computer science. An effective way for solving a satisfiable SAT problem is the stochastic local search (SLS). However, in this method, the initialization is assigned in a random manner, which impacts the effectiveness of SLS solvers. To address this problem, we propose NLocalSAT. NLocalSAT combines SLS with a solution prediction model, which boosts SLS by changing initialization assignments with a neural network. We evaluated NLocalSAT on five SLS solvers (CCAnr, Sparrow, CPSparrow, YalSAT, and probSAT) with instances in the random track of SAT Competition 2018. The experimental results show that solvers with NLocalSAT achieve 27% ~ 62% improvement over the original SLS solvers.

Topics & Concepts

InitializationBoolean satisfiability problemBoosting (machine learning)Computer scienceLocal search (optimization)Artificial intelligenceAlgorithmDPLL algorithmMaximum satisfiability problemMathematical optimizationSatisfiabilityTheoretical computer scienceSearch algorithmComputational complexity theoryRandom searchMathematicsBeam searchComputabilitySimulated annealingOptimization problemMachine learningIterated local searchStochastic processSatisfiability modulo theoriesTraining setConstraint Satisfaction and OptimizationMachine Learning and Data ClassificationMetaheuristic Optimization Algorithms Research