引用本文:卜磊,李游,王林章,李宣东.BACH:线性混成系统有界可达性模型检验工具.软件学报,2011,22(4):640-658
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BACH:线性混成系统有界可达性模型检验工具
卜磊1,2, 李游1,2, 王林章1,2, 李宣东1,2
1.南京大学 计算机软件新技术国家重点实验室,江苏 南京 210093;2.南京大学 计算机科学与技术系,江苏 南京 210093
摘要:
混成自动机的模型检验问题非常困难,即使是其中相对简单的一个子类——线性混成自动机,它的可达性问题仍然是不可判定的.现有的相关工具大都使用多面体计算来判定线性混成自动机状态空间的可达集,复杂度高、效率低,无法解决实际应用规模的问题.描述了一个面向线性混成系统有界可达性模型检验工具——BACH(bounded reachability checker),该工具能够沿指定路径(组)对单个线性混成自动机、多个线性混成自动机的组合进行可达性检验,并且在此基础上结合路径遍历技术完成对所有路径的有界可达性检验.实验数据显示,BACH 不仅在面向路径可达性检验方面性能优异,可以适用于足够长度的路径,而且在针对所有路径的有界可达性检验时,BACH 可以解决的问题规模也远远超过同类工具,已接近工业界应用的要求.
关键词:  线性混成系统  线性混成自动机  有界可达性检验  线性规划
DOI:10.3724/SP.J.1001.2011.03766
分类号:
基金项目:国家自然科学基金(90818022, 61021062); 国家重点基础研究发展计划(973)(2009CB320702); 国家高技术研究发展计划(863)(2009AA01Z148, 2007AA010302)
BACH: A Toolset for Bounded Reachability Analysis of Linear Hybrid Systems
BU Lei1,2, LI You1,2, WANG Lin-Zhang1,2, LI Xuan-Dong1,2
1.State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, China;2.Department of Computer Science and Technology, Nanjing University, Nanjing 210093, China
Abstract:
The model-checking problem for hybrid systems is very difficult to resolve. Even for a relatively simple class of hybrid systems, the class of linear hybrid automata, the most common problem of reachability is unsolvable. Existing techniques for the reachability analysis of linear hybrid automata do not scale well to problem sizes of practical interest. Instead of developing a tool to perform a reachability checking of the complete state space of linear hybrid automata, a prototype toolset BACH (bounded reachability checker) is presented to perform path-oriented reachability checking and bounded reachability checking of the linear hybrid automata and the compositional linear hybrid systems, where the length of the path being checked can be made very large, and the size of the system can be made large enough to handle problems of practical interest. The experiment data shows that BACH has good performance and scalability and supports the fact that BACH can become a powerful assistant for design engineers in the reachability analysis of linear hybrid automata.
Key words:  linear hybrid system  linear hybrid automata  bounded reachability analysis  linear programming

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