Progress on Reachability Analysis of Hybrid Systems Using Predicate Abstraction

Loading...
Thumbnail Image
Penn collection
Departmental Papers (CIS)
Degree type
Discipline
Subject
CPS Model-Based Design
CPS Formal Methods
Funder
Grant number
License
Copyright date
Distributor
Related resources
Author
Dang, Thao
Ivancic, Franjo
Contributor
Abstract

Predicate abstraction has emerged to be a powerful technique for extracting finite-state models from infinite-state systems, and has been recently shown to enhance the effectiveness of the reachability computation techniques for hybrid systems. Given a hybrid system with linear dynamics and a set of linear predicates, the verifier performs an on-the-fly search of the finite discrete quotient whose states correspond to the truth assignments to the input predicates. To compute the transitions out of an abstract state, the tool needs to compute the set of discrete and continuous successors, and find out all the abstract states that this set intersects with. The complexity of this computation grows exponentially with the number of abstraction predicates. In this paper we present various optimizations that are aimed at speeding up the search in the abstract state-space, and demonstrate their benefits via case studies. We also discuss the completeness of the predicate abstraction technique for proving safety of hybrid systems.

Advisor
Date of presentation
2003-04-03
Conference name
Departmental Papers (CIS)
Conference dates
2023-05-16T22:30:59.000
Conference location
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
From the 6th International Workshop, HSCC 2003 Prague, Czech Republic, April 3–5, 2003.
Postprint version. Published in Lecture Notes in Computer Science, Volume 2623, Hybrid Systems: Computation and Control, 2003, pages 4-19. Publisher URL: http://www.springerlink.com/link.asp?id=l66mrr28aknv91dd
Recommended citation
Collection