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Journal of Software:2015.26(2):297-304

多分支单变量循环程序的终止性分析
李轶,李传璨,吴文渊
(自动推理与认知重庆市重点实验室中国科学院 重庆绿色智能技术研究院, 重庆 401120;自动推理与认知重庆市重点实验室中国科学院 重庆绿色智能技术研究院, 重庆 401120;重庆邮电大学 计算机科学与技术学院, 重庆 400065)
Termination Analysis of Multipath Loop Programs with One Variable
LI Yi,LI Chuan-Can,WU Wen-Yuan
(Chongqing Key Laboratory of Automated Reasoning and Cognition Chongqing Institute of Green and Intelligent Technology, The Chinese Academy of Sciences, Chongqing 401120, China;Chongqing Key Laboratory of Automated Reasoning and Cognition Chongqing Institute of Green and Intelligent Technology, The Chinese Academy of Sciences, Chongqing 401120, China;College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)
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Received:July 02, 2014    Revised:October 31, 2014
> 中文摘要: 对多分支单变量循环程序的终止性问题进行了研究.证明了在适定的条件下,该类循环程序不可终止性的充分必要条件是迭代映射在循环条件形成的区域中有不动点.特别地,当这类循环程序是多项式循环程序时,在给定条件下,其在实数域上的终止性问题是可判定的.
Abstract:Termination of multipath loop programs with one variable is analyzed in this paper. It demonstrates that under proper conditions, this kind of loops is non-terminate if and only if there exist fixed points. Especially, if the class of programs are polynomial, then under proper conditions, the termination of the programs is decidable over the reals.
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基金项目:国家自然科学基金(61103110); 重庆市科技攻关项目(cstc2012ggB40004, cstc2013jjys0002) 国家自然科学基金(61103110); 重庆市科技攻关项目(cstc2012ggB40004, cstc2013jjys0002)
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李轶,李传璨,吴文渊.多分支单变量循环程序的终止性分析.软件学报,2015,26(2):297-304

LI Yi,LI Chuan-Can,WU Wen-Yuan.Termination Analysis of Multipath Loop Programs with One Variable.Journal of Software,2015,26(2):297-304