{"title":"How to compute the refinement relation for parameterized systems","authors":"F. Bellegarde, C. Charlet, O. Kouchnarenko","doi":"10.1109/MEMCOD.2003.1210095","DOIUrl":null,"url":null,"abstract":"In this paper, we present a refinement verification for a class of parameterized systems. These systems are composed of an arbitrary number of similar processes. As in (Abdulla et al., 199) we represent the states by regular languages and the transitions by transducers over regular languages. If we can compute a symbolic model by acceleration of the actions, then we can also verify a refinement relation R between the symbolic models. We show that, under some conditions, if R is verified between two symbolic models, then refinement is verified between concrete parameterized systems. Then, we can take advantage of the property (safety and PLTL properties) preservation by refinement for their verification.","PeriodicalId":213762,"journal":{"name":"First ACM and IEEE International Conference on Formal Methods and Models for Co-Design, 2003. MEMOCODE '03. Proceedings.","volume":"132 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"First ACM and IEEE International Conference on Formal Methods and Models for Co-Design, 2003. MEMOCODE '03. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MEMCOD.2003.1210095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we present a refinement verification for a class of parameterized systems. These systems are composed of an arbitrary number of similar processes. As in (Abdulla et al., 199) we represent the states by regular languages and the transitions by transducers over regular languages. If we can compute a symbolic model by acceleration of the actions, then we can also verify a refinement relation R between the symbolic models. We show that, under some conditions, if R is verified between two symbolic models, then refinement is verified between concrete parameterized systems. Then, we can take advantage of the property (safety and PLTL properties) preservation by refinement for their verification.
本文给出了一类参数化系统的精化验证方法。这些系统由任意数量的类似过程组成。在(Abdulla et al.， 1999)中，我们用常规语言表示状态，用常规语言上的换能器表示转换。如果我们可以通过动作的加速来计算符号模型，那么我们也可以验证符号模型之间的细化关系R。在一定条件下，如果在两个符号模型之间验证R，则在具体参数化系统之间验证细化。然后，我们可以利用属性(安全和PLTL属性)保存的优势，通过细化来进行验证。
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