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A Genetic-Based Approach for Satisfiability Problems

  • Mohamed Tounsi
Conference paper
  • 228 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2385)

Abstract

We present a genetic-based approach to solve SAT problem and NP-complete problems. The main idea of the approach presented here is to exploit the fact that, although all NP-complete problems are equally difficult in a general computational sense, some have much better genetic representations than others, leading to much more successful use of genetic-based algorithm on some NP-complete problems than on others. Since any NP-complete problem can be mapped into any other one in polynomial time by a transformation, the approach described here consists of identifying and finding a canonical or generic NP-complete problem on which genetic algorithm work well, and solving other NP-complete problems indirectly by translating them onto the canonical problem. We presented some initial results where we have the Boolean Satisfiability Problem (SAT) as a canonical problem, and results on Hamiltonian Circuit problem which represent a family of NP-complete problems, it can be solved efficiently by mapping them first onto SAT problems.

Keywords

SAT Genetic Algorithm NP-complete Problem Hamiltonian Circuit 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Mohamed Tounsi
    • 1
  1. 1.Computer Science DepartmentEcole des Mines de NantesNantesFrance

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