[1]高强,徐心和.时间复杂性和空间复杂性研究[J].智能系统学报,2014,9(05):529-535.[doi:10.3969/j.issn.1673-4785.201311055]
 GAO Qiang,XU Xinhe.Research on time complexity and space complexity[J].CAAI Transactions on Intelligent Systems,2014,9(05):529-535.[doi:10.3969/j.issn.1673-4785.201311055]
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时间复杂性和空间复杂性研究(/HTML)
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第9卷
期数:
2014年05期
页码:
529-535
栏目:
出版日期:
2014-10-25

文章信息/Info

Title:
Research on time complexity and space complexity
作者:
高强 徐心和
东北大学 信息科学与工程学院, 辽宁 沈阳 110004
Author(s):
GAO Qiang XU Xinhe
College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
关键词:
计算复杂性图灵机确定型多项式时间复杂性非确定型多项式时间复杂性非确定型多项式时间复杂性的完全问题确定型多项式空间复杂性确定型多项式空间复杂性的完全问题可归约性
Keywords:
computational complexityTuring machinePNPNP-completePSAPCEPSAPCE-completereducibility
分类号:
TP301.5
DOI:
10.3969/j.issn.1673-4785.201311055
摘要:
计算复杂性是衡量问题求解的难易程度的。研究问题的计算复杂性,可以明确该问题是否存在有效的求解算法。介绍并分析了计算理论的一些基本概念,论述了时间复杂性(包括P、NP、NP-hard、NP-complete和EXPTIME)和空间复杂性(包括PSPACE、NPSPACE、PSPACE-hard和PSAPCE-complete)中的各个主要分类。最后分析了各个复杂性类之间的关系。
Abstract:
Computational complexity is used to measure the level of difficulty of a problem being solved. The research on computational complexity of the problem can make it explicit. This paper introduces and analyzes some fundamental concepts of the computation theory and discusses some main classes of time complexity (including P, NP, NP-hard, NP-complete and EXPTIME) and space complexity (including PSPACE, NPSPACE, PSPACE-hard and PSAPCE-complete) by examples. Finally the relations among complexity classes are analyzed.

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备注/Memo

备注/Memo:
收稿日期:2013-11-22。
基金项目:国家自然科学基金资助项目(61370153).
作者简介:徐心和, 男, 1940年生, 教授, 博士生导师, 中国人工智能学会常务理事, 主要研究方向为控制理论与应用、系统仿真、智能机器人、机器博弈等, 主持完成国家自然科学基金项目、863基金项目、国家"八五"、"九五"攻关课题13项, 其中8项通过省、部级鉴定, 获科技进步奖国家三等1项, 省部级科技进步奖多项。发表学术论文300余篇。
通讯作者:高强, 男, 1980年生, 讲师, 博士研究生, 主要研究方向为机器博弈、计算复杂性理论。E-mail:tommy_06@163.com.
更新日期/Last Update: 1900-01-01