Title
Complexity Of Strong Satisfiability Problems For Reactive System Specifications
Abstract
Many fatal accidents involving safety-critical reactive systems have occurred in unexpected situations, which were not considered during the design and test phases of system development. To prevent such accidents, reactive systems should be designed to respond appropriately to any request from an environment at any time. Verifying this property during the specification phase reduces the development costs of safety-critical reactive systems. This property of a specification is commonly known as realizability. The complexity of the realizability problem is 2EXPTIME-complete. We have introduced the concept of strong satisfiability, which is a necessary condition for realizability. Many practical unrealizable specifications are also strongly unsatisfiable. In this paper, we show that the complexity of the strong satisfiability problem is EXPSPACE-complete. This means that strong satisfiability offers the advantage of lower complexity for analysis, compared to realizability. Moreover, we show that the strong satisfiability problem remains EXPSPACE-complete even when only formulae with a temporal depth of at most 2 are allowed.
Year
DOI
Venue
2013
10.1587/transinf.E96.D.2187
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
Field
DocType
reactive system, strong satisfiability, realizability, complexity, LTL specification
Pattern recognition,Computer science,Satisfiability,Algorithm,Theoretical computer science,Artificial intelligence,Reactive system,Realizability
Journal
Volume
Issue
ISSN
E96D
10
1745-1361
Citations 
PageRank 
References 
2
0.40
6
Authors
3
Name
Order
Citations
PageRank
Masaya Shimakawa1417.54
Shigeki Hagihara27812.33
Naoki Yonezaki310720.02