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Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 9
2710-2715

Belief propagation algorithm for solving multi literal satisfiability problem

Lu Leia
Wang Xiaofenga,b
Niu Pengfeia
Liu Zilina
a. College of Computer Science & Engineering, b. Key Laboratory of Images & Graphics Intelligent Processing of State Ethnic Affairs Commission, Yinchuan 750021, China
DOI: 10.19734/j.issn.1001-3695.2021.01.0012

Abstract

The SAT problem refers to whether there is a set of Boolean variable assignments that makes at least one literal in each clause of the CNF formula true. The multi literal SAT problem refers to whether there is a set of Boolean variable assignments that makes at least two literals in each clause of the CNF formula true. Obviously, this problem is still an NP-hard problem. In order to study the algorithm to solve the multi literal SAT problem, this paper introduced a random example generation model, and designed a belief propagation algorithm to solve the multi literal SAT problem. Finally, it generated a large amount of data by the example model for experimental verification, and the results show that the performance of this algorithm for solving literal SAT problem is better than other heuristic algorithms.

Foundation Support

国家自然科学基金资助项目(62062001,61762019,61862051,61962002)
北方民族大学重大专项(ZDZX201901)
宁夏自然科学基金资助项目(2020AAC03214,2020AAC03219,2019AAC03120,2019AAC03119)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2021.01.0012
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 9
Section: Algorithm Research & Explore
Pages: 2710-2715
Serial Number: 1001-3695(2021)09-027-2710-06

Publish History

[2021-09-05] Printed Article

Cite This Article

芦磊, 王晓峰, 牛鹏飞, 等. 求解多文字可满足SAT问题的置信传播算法 [J]. 计算机应用研究, 2021, 38 (9): 2710-2715. (Lu Lei, Wang Xiaofeng, Niu Pengfei, et al. Belief propagation algorithm for solving multi literal satisfiability problem [J]. Application Research of Computers, 2021, 38 (9): 2710-2715. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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