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可满足实例的归结复杂度

沈静 梅丹

计算机工程与应用Issue(22):69-72,4.
计算机工程与应用Issue(22):69-72,4.DOI:10.3778/j.issn.1002-8331.1301-0137

可满足实例的归结复杂度

Resolution complexity of satisfiability instances

沈静 1梅丹1

作者信息

  • 1. 海军工程大学 应用数学系,武汉 430033
  • 折叠

摘要

Abstract

The model GRB is a random model of constraint satisfaction problem, and it exhibits exact solubility phase transitions. For the experimental results that the satisfiability instances in the phase transition region are hard to solve, it uses the relation between the clause width and the resolution complexity to prove that almost all satisfiability instances of the model GRB have no tree-like resolution proofs of length less than exponential size. Therefore it shows theoretically that the satisfiability instances in the phase transition region are hard for the algorithms based on resolution.

关键词

归结复杂度/约束满足问题/可满足相变

Key words

resolution complexity/constraint satisfaction problem(CSP)/solubility phase transition

分类

信息技术与安全科学

引用本文复制引用

沈静,梅丹..可满足实例的归结复杂度[J].计算机工程与应用,2014,(22):69-72,4.

基金项目

国家自然科学基金(No.11171370)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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