### Abstract

The satisfiability problem (SAT) is a typical NP-complete problem where a wide range of applications has been studied. Given a set of variables U and a set of clauses C, the goal of SAT is to find a truth assignment to variables in U such that every clause in C is satisfied if it exits, or to derive the infeasibility otherwise. This paper presents an approximation algorithm called a minimal-state processing search algorithm for SAT (MIPS_SAT). MIPS_SAT repeatedly transits minimal states in terms of the cost function for searching a solution through a construction stage and a refinement stage. The first stage greedily generates an initial state composed of as many satisfied clauses as possible. The second stage iteratively seeks a solution while keeping state minimality. The performance of MIPS_SAT is verified through solving DIMACS benchmark instances.

Original language | English |
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Pages (from-to) | 2769-2774 |

Number of pages | 6 |

Journal | Proceedings of the IEEE International Conference on Systems, Man and Cybernetics |

Volume | 4 |

DOIs | |

Publication status | Published - Jan 1 2001 |

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### Keywords

- DIMACS
- Heuristic algorithm
- MIPS_SAT
- Optimization
- SAT

### ASJC Scopus subject areas

- Control and Systems Engineering
- Hardware and Architecture

### Cite this

*Proceedings of the IEEE International Conference on Systems, Man and Cybernetics*,

*4*, 2769-2774. https://doi.org/10.1109/ICSMC.2001.972986