From liveness to promptness

Orna Kupferman*, Nir Piterman, Moshe Y. Vardi

*Corresponding author for this work

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

13 Scopus citations


Liveness temporal properties state that something "good" eventually happens, e.g., every request is eventually granted. In Linear Temporal Logic (LTL), there is no a priori bound on the "wait time" for an eventuality to be fulfilled. That is, Fθ asserts that θ holds eventually, but there is no bound on the time when θ will hold. This is troubling, as designers tend to interpret an eventuality Fθ as an abstraction of a bounded eventuality F≤kθ, for an unknown k, and satisfaction of a liveness property is often not acceptable unless we can bound its wait time. We introduce here PROMPT-LTL, an extension of LTL with the prompt-eventually operator Fp. A system S satisfies a PROMPT-LTL formula φ if there is some bound k on the wait time for all prompt-eventually subformulas of φ in all computations of S. We study various problems related to PROMPT-LTL, including realizability, model checking, and assume-guarantee model checking, and show that they can be solved by techniques that are quite close to the standard techniques for LTL.

Original languageAmerican English
Title of host publicationComputer Aided Verification - 19th International Conference, CAV 2007, Proceedings
PublisherSpringer Verlag
Number of pages14
ISBN (Print)3540733671, 9783540733676
StatePublished - 2007
Event19th International Conference on Computer Aided Verification, CAV 2007 - Berlin, Germany
Duration: 3 Jul 20077 Jul 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4590 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference19th International Conference on Computer Aided Verification, CAV 2007


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