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Remove Irrelevant Atomic Formulas for Timed Automaton Model Checking
作者姓名:Jian-Hua Zhao  Xuan-Dong Li  Tao Zheng  and Guo-Liang Zheng
作者单位:[1]State Key Laboratory of Novel Software Technology, Nanjing University, Nanjing 210093, P.R. China [2]Department of Computer Science and Technology, Nanjing University, Nanjing 210093, P.R. China
基金项目:Supported by the National Natural Science Foundation of China (Grant Nos. 60203009, 60233020 and 60425204), the NSF of Jiangsu Province (Grant No. BK2003408) and the National Basic Research 973 Program of China (Grant No. 2002CB312001).
摘    要:Most of the timed automata reachability analysis algorithms in the literature explore the state spaces by enumeration of symbolic states, which use time constraints to represent a set of concrete states. A time constraint is a conjunction of atomic formulas which bound the differences of clock values. In this paper, it is shown that some atomic formulas of symbolic states generated by the algorithms can be removed to improve the model checking time- and space-efficiency. Such atomic formulas are called as irrelevant atomic formulas. A method is also presented to detect irrelevant formulas based on the test-reset information about clock variables. An optimized model-checking algorithm is designed based on these techniques. The case studies show that the techniques presented in this paper significantly improve the space- and time-efficiency of reachability analysis.

关 键 词:模拟检测  同步自动机械  可达性  时钟变量
收稿时间:2004-08-30
修稿时间:2004-08-302005-08-09

Remove Irrelevant Atomic Formulas for Timed Automaton Model Checking
Jian-Hua Zhao,Xuan-Dong Li,Tao Zheng,and Guo-Liang Zheng.Remove Irrelevant Atomic Formulas for Timed Automaton Model Checking[J].Journal of Computer Science and Technology,2006,21(1):41-51.
Authors:Jian-Hua Zhao  Xuan-Dong Li  Tao Zheng  Guo-Liang Zheng
Affiliation:(1) State Key Laboratory of Novel Software Technology, Nanjing University, Nanjing, 210093, P.R. China;(2) Department of Computer Science and Technology, Nanjing University, Nanjing, 210093, P.R. China
Abstract:Most of the timed automata reachability analysis algorithms in the literature explore the state spaces by enumeration of symbolic states, which use time constraints to represent a set of concrete states. A time constraint is a conjunction of atomic formulas which bound the differences of clock values. In this paper, it is shown that some atomic formulas of symbolic states generated by the algorithms can be removed to improve the model checking time- and spaceefficiency. Such atomic formulas are called as irrelevant atomic formulas. A method is also presented to detect irrelevant formulas based on the test-reset information about clock variables. An optimized model-checking algorithm is designed based on these techniques. The case studies show that the techniques presented in this paper significantly improve the space- and time-efficlency of reachability analysis.
Keywords:formal method  model checking  timed automaton
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