Title
Compositional SCC Analysis for Language Emptiness
Abstract
We propose a refinement approach to language emptiness, which is based on the enumeration and the successive refinements of SCCs on over-approximations of the exact system. Our algorithm is compositional: It performs as much computation as possible on the abstract systems, and prunes uninteresting part of the search space as early as possible. It decomposes the state space disjunctively so that each state subset can be checked in isolation to decide language emptiness for the given system. We prove that the strength of an SCC or a set of SCCs decreases monotonically with composition. This allows us to deploy the proper model checking algorithms according to the strength of the SCC at hand. We also propose to use the approximate distance of a fair cycle from the initial states to guide the search. Experimental studies on a set of LTL model checking problems prove the effectiveness of our method.
Year
DOI
Venue
2006
10.1007/s10703-006-4617-3
Formal Methods in System Design
Keywords
DocType
Volume
language emptiness,model checking,abstraction refinement,LTL,BDD
Journal
28
Issue
ISSN
Citations 
1
0925-9856
6
PageRank 
References 
Authors
0.41
34
5
Name
Order
Citations
PageRank
Chao Wang1110961.81
Roderick Bloem21708101.26
Gary D. Hachtel31069140.38
Kavita Ravi442221.67
Fabio Somenzi53394302.47