Interleaving set temporal logic

Shmuel Katz, Doron Peled

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

2 Scopus citations

Abstract

A new temporal logic and interpretation are suggested which have features from linear temporal logic, branching time temporal logic, and partial order temporal logic. The new logic can describe properties essential to the specification and correctness proofs of distributed algorithms such as those for global snapshots. It is also appropriate for the justification of proof rules and ascribing temporal semantics to properties such as layering of a program. These properties cannot be described with existing temporal logics. The semantic model of the logic is based on a collection of sets of interleaving sequences which reflect partial orders from the underlying semantics of the computational model. For the common partial order derived from sequentiality in execution of each process, the logic will distinguish between nondeterminism due to the parallel execution and nondeterminism due to local nondeterministic choices. The difference in expressive power is thus qualitative, and not merely due to the presence or absence of a particular temporal operator. In the logic, theorems are proven which clarify when it is possible to establish a property P for some of the interleaving computations, and yet conclude the truth of P for every interleaving.

Original languageEnglish
Title of host publicationTemporal Logic in Specification, Proceedings
EditorsAmir Pnueli, Behnam Banieqbal, Howard Barringer
PublisherSpringer Verlag
Pages21-43
Number of pages23
ISBN (Print)9783540518037
DOIs
StatePublished - 1989
Externally publishedYes
EventInternational Colloquium on Temporal Logic in Specification, 1987 - Altrincham, United Kingdom
Duration: 8 Apr 198710 Apr 1987

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume398 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Colloquium on Temporal Logic in Specification, 1987
Country/TerritoryUnited Kingdom
CityAltrincham
Period8/04/8710/04/87

Bibliographical note

Publisher Copyright:
© 1989, Springer-Verlag.

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