An expressive temporal logic for real time

Yoram Hirshfeld*, Alexander Rabinovich

*Corresponding author for this work

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

20 Scopus citations

Abstract

We add to the standard temporal logic with the modalities "Until" and "Since", a sequence of "counting modalities": For each n the modality Cn(X), which says that X will be true at least at n points in the next unit of time, and its past counterpart C n, which says that X has happened at least n times in the last unit of time. We prove that this temporal logic is as expressive as can be hoped for; all the modalities that can be expressed in a strong natural decidable predicate logic framework, are expressible in this temporal logic.

Original languageEnglish
Title of host publicationMathematical Foundations of Computer Science 2006 - 31st International Symposium, MFCS 2006, Proceedings
PublisherSpringer Verlag
Pages492-504
Number of pages13
ISBN (Print)3540377913, 9783540377917
DOIs
StatePublished - 2006
Event31st International Symposium on Mathematical Foundations of Computer Science, MFCS 2006 - Stara Lesna, Slovakia
Duration: 28 Aug 20061 Sep 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4162 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference31st International Symposium on Mathematical Foundations of Computer Science, MFCS 2006
Country/TerritorySlovakia
CityStara Lesna
Period28/08/061/09/06

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