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Logic in Computer Science, Symposium on (1997)
Warsaw, POLAND
June 29, 1997 to July 2, 1997
ISSN: 1043-6871
ISBN: 0-8186-7925-5
pp: 183
P.S. Thiagarajan , SPIC Mathematical Institute
I. Walukiewicz , Institute of Informatics, Warsaw University
ABSTRACT
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.
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CITATION

I. Walukiewicz and P. Thiagarajan, "An Exprssively Complete Linear Time Temporal Logic for Mazurkiewicz Traces.," Logic in Computer Science, Symposium on(LICS), Warsaw, POLAND, 1997, pp. 183.
doi:10.1109/LICS.1997.614946
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