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A Hopeful CNF-SAT─Algorithm Its High Efficiency, Industrial Application and Limitation

A Hopeful CNF-SAT─Algorithm Its High Efficiency, Industrial Application and Limitation
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摘要 From the SAT physical model, a physical hypothesis named PHHY is proposed. By PHHY, it is proved that there is a universally efficient algorithm for solving SAT problem. Then, by square packing problem, the authors show that there are interesting industrial NP-complete problems which can be solved through SAT algorithms, but each way of solving like this will be much worse than that of a certain direct solving. From the SAT physical model, a physical hypothesis named PHHY is proposed. By PHHY, it is proved that there is a universally efficient algorithm for solving SAT problem. Then, by square packing problem, the authors show that there are interesting industrial NP-complete problems which can be solved through SAT algorithms, but each way of solving like this will be much worse than that of a certain direct solving.
作者 黄文奇 李未
出处 《Journal of Computer Science & Technology》 SCIE EI CSCD 1998年第1期9-12,共4页 计算机科学技术学报(英文版)
基金 Project supported by the Chinese High-Tech Program, the National Natural Science Foundation of China and the Chinese Science Fou
关键词 NP-complete problem CNF-SAT satisfiability potential function approximate algorithm PROBABILITY complexity. NP-complete problem, CNF-SAT satisfiability, potential function, approximate algorithm, probability, complexity.
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参考文献4

  • 1黄文奇,Proc First Annual International Conference Cocoon’95,1995年
  • 2李未,中国科学.A,1995年
  • 3李未,Proc National Symposium on Dynamical System (in Chinese),1994年
  • 4李未,Technical Report 1992-20

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