文章基本信息

标题：Modeling and Verification of Infinite Systems with Resources
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作者：Martin Lang ; Christof Löding
期刊名称：Logical Methods in Computer Science
印刷版ISSN：1860-5974
电子版ISSN：1860-5974
出版年度：2013
卷号：9
期号：4
页码：1
DOI：10.2168/LMCS-9(4:22)2013
出版社：Technical University of Braunschweig
摘要：We consider formal verification of recursive programs with resource consumption. We introduce prefix replacement systems with non-negative integer counters which can be incremented and reset to zero as a formal model for such programs. In these systems, we investigate bounds on the resource consumption for reachability questions. Motivated by this question, we introduce relational structures with resources and a quantitative first-order logic over these structures. We define resource automatic structures as a subclass of these structures and provide an effective method to compute the semantics of the logic on this subclass. Subsequently, we use this framework to solve the bounded reachability problem for resource prefix replacement systems. We achieve this result by extending the well-known saturation method to annotated prefix replacement systems. Finally, we provide a connection to the study of the logic cost-WMSO.
其他关键词：Pushdown Systems; Reachability with Annotations; Quantitative Automata and Logics.