Paper Info
Title
Forward Analysis for WSTS, Part III: Karp-Miller Trees.
Abstract
This paper is a sequel of "Forward Analysis for WSTS, Part I: Completions" [STACS 2009, LZI Intl. Proc. in Informatics 3, 433-444] and "Forward Analysis for WSTS, Part II: Complete WSTS" [Logical Methods in Computer Science 8(3), 2012]. In these two papers, we provided a framework to conduct forward reachability analyses of WSTS, using finite representations of downward-closed sets. We further develop this framework to obtain a generic Karp-Miller algorithm for the new class of very-WSTS. This allows us to show that coverability sets of very-WSTS can be computed as their finite ideal decompositions. Under natural effectiveness assumptions, we also show that LTL model checking for very-WSTS is decidable. The termination of our procedure rests on a new notion of acceleration levels, which we study. We characterize those domains that allow for only finitely many accelerations, based on ordinal ranks.
Year
DOI
Venue
2020
10.23638/LMCS-16(2:13)2020
LOGICAL METHODS IN COMPUTER SCIENCE
Keywords
DocType
Volume
well-structured transition systems,Karp-Miller trees,model checking,coverability,ideals
Journal
16
Issue
ISSN
Citations 
2
1860-5974
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Michael Blondin1279.06
Alain Finkel2554.77
Jean Goubault-Larrecq358240.90