NDLI: Random Relaxation Abstractions for Bounded Reachability Analysis of Linear Hybrid Automata: Distributed Randomized Abstractions in Model Checking

Content Provider	IEEE Xplore Digital Library
Author	Jha, S.K. Jha, S.
Copyright Year	2008
Description	Author affiliation: Electr. Eng. & Comput. Sci. Dept., Univ. of California Berkeley, Berkeley, CA (Jha, S.) \|\| Sch. of Comput. Sci., Carnegie Mellon Univ., Pittsburgh, PA (Jha, S.K.)
Abstract	The state of the art in the validation of linear hybrid automata has been restricted to systems with tens of variables because of the extremely high computational complexity of manipulating polyhedra in high dimensions. In this paper, we present a distributed algorithm that constructs low dimensional randomized over-approximate relaxation abstractions of linear hybrid automata and analyzes these low dimensional hybrid automata to perform bounded model checking of the original high dimensional linear hybrid automata. Our algorithm relies on the feasibility preserving nature of random linear relaxations and the Johnson Lindenstrauss lemma to show that random relaxations preserve the infeasibility of linear constraints with a nonzero probability.
Starting Page	147
Ending Page	153
File Size	197107
Page Count	7
File Format	PDF
ISBN	9780769534824
ISSN	15302059
DOI	10.1109/HASE.2008.38
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-12-03
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reachability analysis Automata Algorithm design and analysis Concrete Biological system modeling Embedded software Linear programming Systems engineering and theory Computer science Computational complexity Distributed Algorithms Johnson Lindenstrauss lemma Model Checking Verification Linear Hybrid Automata Hybrid Systems Cyber-Physical Systems Randomized Algorithms
Content Type	Text
Resource Type	Article

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