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基于SVM的多项式循环程序秩函数生成
引用本文:李轶,蔡天训,樊建峰,吴文渊,冯勇.基于SVM的多项式循环程序秩函数生成[J].软件学报,2019,30(7):1903-1915.
作者姓名:李轶  蔡天训  樊建峰  吴文渊  冯勇
作者单位:中国科学院 重庆绿色智能技术研究院 自动推理与认知重庆市重点实验室, 重庆 400714,萨基姆通讯(深圳)有限公司, 广东 深圳 518000,中国科学院 重庆绿色智能技术研究院 自动推理与认知重庆市重点实验室, 重庆 400714;中国科学院大学 计算机科学与技术学院, 北京 100093,中国科学院 重庆绿色智能技术研究院 自动推理与认知重庆市重点实验室, 重庆 400714,中国科学院 重庆绿色智能技术研究院 自动推理与认知重庆市重点实验室, 重庆 400714
基金项目:国家自然科学基金(61572024,61103110,11471307)
摘    要:程序终止性问题是自动程序验证领域中的一个研究热点.秩函数探测是进行终止性分析的主要方法.针对单重无条件分支的多项式循环程序,将其秩函数计算问题归结为二分类问题,从而可利用支持向量机(SVM)算法来计算程序的秩函数.与基于量词消去技术的秩函数计算方法不同,该方法能在可接受的时间范围内探测到更为复杂的秩函数.

关 键 词:程序终止性  SVM  机器学习  秩函数
收稿时间:2018/7/10 0:00:00
修稿时间:2018/9/28 0:00:00

SVM-based Method for Detecting Ranking Functions in Polynomial Loop Programs
LI Yi,CAI Tian-Xun,FAN Jian-Feng,WU Wen-Yuan and FENG Yong.SVM-based Method for Detecting Ranking Functions in Polynomial Loop Programs[J].Journal of Software,2019,30(7):1903-1915.
Authors:LI Yi  CAI Tian-Xun  FAN Jian-Feng  WU Wen-Yuan and FENG Yong
Affiliation:Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China,Sagemcom Technologies Inc., Shenzhen 518000, China,Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China;School of Computer and Control Engineering, University of Chinese Academy of Sciences, Beijing 100093, China,Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China and Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China
Abstract:Synthesizing ranking functions of polynomial loop programs is the dominant method for checking their termination. In this study, the synthesis of ranking functions of a class of polynomial loop program is reduced to the binary problem. The support vector machine (SVM) technique then is applied to solve such the binary problem. This naturally relates detection of ranking functions to SVM. Different from the CAD-based method for synthesizing ranking functions, the proposed method can get more expressive polynomial ranking functions in an acceptable time.
Keywords:program termination  SVM  machine learning  ranking functions
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