Deciding global partial-order properties

Rajeev Alur, Ken McMillan, Doron Peled

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

12 Scopus citations


Model checking of asynchronous systems is traditionally based on the interleaving model, where an execution is modeled by a total order between events. Recently, the use of partial order semantics that allows independent events of concurrent processes to be unordered is becoming popular. Temporal logics that are interpreted over partial orders allow specifications relating global snapshots, and permit reduction algorithms to generate only one representative linearization of every possible partial-order execution during state-space search. This paper considers the satisfiability and the model checking problems for temporal logics interpreted over partially ordered sets of global configurations. For such logics, only undecidability results have been proved previously. In this paper, we present an EXPSPACE decision procedure for a fragment that contains an eventuality operator and its dual. We also sharpen previous undecidability results, which used global predicates over configurations. We show that although our logic allows only local propositions (over events), it becomes undecidable when adding some natural until operator.

Original languageEnglish
Title of host publicationAutomata, Languages and Programming - 25th International Colloquium, ICALP 1998, Proceedings
PublisherSpringer Verlag
Number of pages12
ISBN (Print)3540647813, 9783540647812
StatePublished - 1998
Externally publishedYes
Event25th International Colloquium on Automata, Languages and Programming, ICALP 1998 - Aalborg, Denmark
Duration: 13 Jul 199817 Jul 1998

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1443 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference25th International Colloquium on Automata, Languages and Programming, ICALP 1998


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