TY - JOUR
AU - P. Thiagarajan
AU - Igor Walukiewicz
PY - 1996/12/02
Y2 - 2020/02/29
TI - An Expressively Complete Linear Time Temporal Logic for Mazurkiewicz Traces
JF - BRICS Report Series
JA - BRICS
VL - 3
IS - 62
SE - Articles
DO - 10.7146/brics.v3i62.18563
UR - https://tidsskrift.dk/brics/article/view/18563
AB - 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.
ER -