Local Search Methods for Constraint Solving in First-Order Logic
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    Abstract:

    In this paper, the author discusses constraint satisfaction problems in the framework of first-order logic. Local search methods for satisfying first-order formulas are studied, and compared with satisfiability procedures in the propositional logic. Experimental results on the Queens problem and the Hamiltanian circuit problem show that the framework is suitable for dealing with quite large problem instances.

    Reference
    1  Mackworth A. The logic of constraint satisfaction. Artificial Intelligence, 1992,58(1):3~20 2  Gu J. Efficient local search for very large-scale satisfiability problems. SIGART Bulletin, 1992,3(1):8~12 3  Selman B et al. A new method for solving hard satisfiability problems. In: Proceedings of the 10th National Conference on Artificial Intelligence(AAAI-92). Menlo Park, CA: AAAI Press, 1992. 440~446 4  李未,黄文奇.一种求解合取范式可满足性问题的数学物理方法.中国科学(A辑),1995,38(1):116~128 (Li Wei, Huang Wen-qi. A mathematic-physical approach to the satisfiability problem. Science in China, 1995,38(1):116~128) 5  刘涛,李国杰.求解SAT问题的分级重排搜索算法.软件学报,1996,7(4):201~210 (Liu Tao, Li Guo-jie. Multi-stage search rearrangement algorithm for solving SAT problem. Journal of Software, 1996,7(4):201~210) 6  Selman B et al. Noise strategies for improving local search. In: Proceedings of the 12th National Conference on Artificial Intelligence(AAAI-94). 1994. 337~343 7  Nadel B. Tree search and arc consistency in constraint satisfaction algorithms. In: Kanal L, Kumar V eds. Search in Artificial Intelligence. New York: Springer-Verlag, 1988. 287~342 8  Zhang J, Zhang H. SEM: a system for enumerating models. In: Mellish C S ed. Proceedings of the 14th International Joint Conference on Artificial Intelligence. San Mateo, CA: Morgan Kanfmann Publishers, 1995. 298~303 9  Zhang J, Zhang H. Combining local search and backtracking techniques for constraint satisfaction. In: Proceedings of the 13th National Conference on Artificial Intelligence and the 8th Innovative Applications of Artificial Intelligence Conference. Cambridge, MA: MIT Press, 1996. 369~374
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张 健.一阶逻辑中约束求解的局部搜索法*.软件学报,1998,9(8):598-600

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History
  • Received:March 31,1997
  • Revised:July 30,1997
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