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An Efficient Method to Transform SAT problems to Binary Integer Linear Programming Problem

Authors :
Guo, Wenxia
Wang, Jin
He, Majun
Ren, Xiaoqin
Tian, Wenhong
Wang, Qingxian
Publication Year :
2018
Publisher :
arXiv, 2018.

Abstract

In computational complexity theory, a decision problem is NP-complete when it is both in NP and NP-hard. Although a solution to a NP-complete can be verified quickly, there is no known algorithm to solve it in polynomial time. There exists a method to reduce a SAT (Satifiability) problem to Subset Sum Problem (SSP) in the literature, however, it can only be applied to small or medium size problems. Our study is to find an efficient method to transform a SAT problem to a mixed integer linear programming problem in larger size. Observing the feature of variable-clauses constraints in SAT, we apply linear inequality model (LIM) to the problem and propose a method called LIMSAT. The new method can work efficiently for very large size problem with thousands of variables and clauses in SAT tested using up-to-date benchmarks.

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....2f80e82f54d605503003dc6bc8a3581e
Full Text :
https://doi.org/10.48550/arxiv.1803.09963