Model checking systems and specifications with parameterized atomic propositions

Orna Grumberg*, Orna Kupferman, Sarai Sheinvald

*Corresponding author for this work

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

13 Scopus citations


In classical LTL model checking, both the system and the specification are over a finite set of atomic propositions. We present a natural extension of this model, in which the atomic propositions are parameterized by variables ranging over some (possibly infinite) domain. For example, by parameterizing the atomic propositions send and receive by a variable x ranging over possible messages, the specification specifies that not only each send signal is followed by a receive signal, but also that the content of the received message agrees with the content of the one sent. Our extended setting consists of Variable LTL (VLTL) - a specification formalism that extends LTL with atomic propositions parameterized by variables, and abstract systems - systems in which atomic propositions may be parameterized by variables. We study the model-checking problem in this setting. We show that while the general setting is undecidable, some useful special cases are decidable. In particular, for fragments of VLTL that restrict the quantification over the variables, the model checking is PSPACE-complete, and thus is not harder than the LTL model checking problem. The latter result conveys the strength and advantage of our setting.

Original languageAmerican English
Title of host publicationAutomated Technology for Verification and Analysis - 10th International Symposium, ATVA 2012, Proceedings
Number of pages15
StatePublished - 2012
Event10th International Symposium on Automated Technology for Verification and Analysis, ATVA 2012 - Thiruvananthapuram, India
Duration: 3 Oct 20126 Oct 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7561 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference10th International Symposium on Automated Technology for Verification and Analysis, ATVA 2012


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