“Next” Heuristic for OntheFly Model Checking
 Rajeev Alur,
 BowYaw Wang
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Abstract
We present a new heuristic for onthefly enumerative invariant verification. The heuristic is based on a construct for temporal scaling, called next, that compresses a sequence of transitions leading to a given target set into a single metatransition. First, we give an onthefly algorithm to search a process expression built using the constructs of hiding, parallel composition, and temporal scaling. Second, we show that as long the target set Θ of transitions includes all transitions that access variables shared with the environment, the process next Θ for P and P are equivalent according to the weaksimulation equivalence. As a result, to search the product of given processes, we can cluster processes into groups with as little communication among them as possible, and compose the groups only after applying appropriate hiding and temporal scaling operators. Applying this process recursively gives an expression that has multiple nested applications of next, and has potentially much fewer states than the original product. We report on an implementation, and show significant reductions for a treestructured parity computer and a ringstructured leaderelection protocol.
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 Title
 “Next” Heuristic for OntheFly Model Checking
 Book Title
 CONCUR’99 Concurrency Theory
 Book Subtitle
 10th International Conference Eindhoven, The Netherlands, August 24—27, 1999 Proceedings
 Pages
 pp 98113
 Copyright
 1999
 DOI
 10.1007/3540483209_9
 Print ISBN
 9783540664253
 Online ISBN
 9783540483205
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 1664
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 Industry Sectors
 eBook Packages
 Editors

 Jos C. M. Baeten ^{(4)}
 Sjouke Mauw ^{(4)}
 Editor Affiliations

 4. Department of Computing Science, Eindhoven University of Technology
 Authors

 Rajeev Alur ^{(5)} ^{(6)}
 BowYaw Wang ^{(5)}
 Author Affiliations

 5. Department of Computer and Information Science, University of Pennsylvania, Pennsylvania
 6. Bell Laboratories, Lucent Technologies, USA
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