Improving probability selection based weights for satisfiability problems

Boolean Satisfiability problem (SAT) plays a prominent role in many domains of computer science and artificial intelligence due to its significant importance in both theory and applications. Algorithms for solving SAT problems can be categorized into two main classes: complete algorithms and incompl...

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Vydáno v:Knowledge-based systems Ročník 245; s. 108572
Hlavní autoři: Fu, Huimin, Liu, Jun, Wu, Guanfeng, Xu, Yang, Sutcliffe, Geoff
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 07.06.2022
Elsevier Science Ltd
Témata:
Algorithms
Artificial intelligence
Boolean algebra
Boolean Satisfiability problem
Clauses
Computer science
Heuristic
Probability
Random walk
Search algorithms
Stochastic local search
Strategies
Weighting
Weights
Stochastic local search
Weights
Boolean Satisfiability problem
ISSN:0950-7051, 1872-7409
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Shrnutí:Boolean Satisfiability problem (SAT) plays a prominent role in many domains of computer science and artificial intelligence due to its significant importance in both theory and applications. Algorithms for solving SAT problems can be categorized into two main classes: complete algorithms and incomplete algorithms (typically stochastic local search (SLS) algorithms). SLS algorithms are among the most effective for solving uniform random SAT problems, while hybrid algorithms achieved great breakthroughs for solving hard random SAT (HRS) problem recently. However, there is a lack of algorithms that can effectively solve both uniform random SAT and HRS problems. In this paper, a new SLS algorithm named SelectNTS is proposed aiming at solving both uniform random SAT and HRS problem effectively. SelectNTS is essentially an improved probability selection based local search algorithm, the core of which includes new clause and variable selection heuristics: a new clause weighting scheme and a biased random walk strategy are utilized to select a clause, while a new probability selection strategy with the variation of configuration checking strategy is used to select a variable. Extensive experimental results show that SelectNTS outperforms the state-of-the-art random SAT algorithms and hybrid algorithms in solving both uniform random SAT and HRS problems effectively.
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ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2022.108572