3-Valued abstraction: More precision at less cost

Sharon Shoham*, Orna Grumberg

*Corresponding author for this work

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


This paper investigates both the precision and the model checking efficiency of abstract models designed to preserve branching time logics w.r.t. a 3-valued semantics. Current abstract models use ordinary transitions to over approximate the concrete transitions, while they use hyper transitions to under approximate the concrete transitions. In this work we refer to precision, measured w.r.t. the choice of abstract states, independently of the formalism used to describe abstract models. We show that current abstract models do not allow maximal precision. We suggest a new class of models and a construction of an abstract model which is most precise w.r.t. any choice of abstract states. As before, the construction of such models might involve an exponential blowup, which is inherent by the use of hyper transitions. We therefore suggest an efficient algorithm in which the abstract model is constructed during model checking, by need. Our algorithm, achieves maximal precision w.r.t. the given property while remaining quadratic in the number of abstract states. To complete the picture, we incorporate it into an abstraction-refinement framework.

Original languageEnglish
Title of host publicationProceedings - 21st Annual IEEE Symposium on Logic in Computer Science, LICS 2006
Number of pages10
StatePublished - 2006
Externally publishedYes
Event21st Annual IEEE Symposium on Logic in Computer Science, LICS 2006 - Seattle, WA, United States
Duration: 12 Aug 200615 Aug 2006

Publication series

NameProceedings - Symposium on Logic in Computer Science
ISSN (Print)1043-6871


Conference21st Annual IEEE Symposium on Logic in Computer Science, LICS 2006
Country/TerritoryUnited States
CitySeattle, WA


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