文章基本信息

标题：An Expressively Complete Linear Time Temporal Logic for Mazurkiewicz Traces
本地全文：下载
作者：P. S. Thiagarajan ; Igor Walukiewicz
期刊名称：BRICS Report Series
印刷版ISSN：0909-0878
出版年度：1996
卷号：3
期号：62
语种：English
出版社：Aarhus University
摘要：A basic result concerning LTL, the propositional temporal logic of linear time, is that it is expressively complete; it is equal in expressive power to the first order theory of sequences. We present here a smooth extension of this result to the class of partial orders known as Mazurkiewicz traces. These partial orders arise in a variety of contexts in concurrency theory and they provide the conceptual basis for many of the partial order reduction methods that have been developed in connection with LTL-specifications. We show that LTrL, our linear time temporal logic, is equal in expressive power to the first order theory of traces when interpreted over (finite and) infinite traces. This result fills a prominent gap in the existing logical theory of infinite traces. LTrL also provides a syntactic characterisation of the so-called trace consistent (robust) LTL-specifications. These are specifications expressed as LTL formulas that do not distinguish between different linearisations of the same trace and hence are amenable to partial order reduction methods.