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  Exact State Set Representations in the Verification of Linear Hybrid Systems with Large Discrete State Space

Damm, W., Disch, S., Hungar, H., Jacobs, S., Pang, J., Pigorsch, F., et al. (2007). Exact State Set Representations in the Verification of Linear Hybrid Systems with Large Discrete State Space. In K. S. Namjoshi, T. Yoneda, T. Higashino, & Y. Okamura (Eds.), Automated Technology for Verification and Analysis, 5th International Symposium, ATVA 2007 (pp. 425-440). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1F25-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1F26-3
Genre: Conference Paper

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 Creators:
Damm, Werner, Author
Disch, Stefan, Author
Hungar, Hardi, Author
Jacobs, Swen1, 2, Author           
Pang, Jun, Author
Pigorsch, Florian, Author
Scholl, Christoph, Author
Waldmann, Uwe1, 2, Author           
Wirtz, Boris, Author
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We propose algorithms significantly extending the limits for maintaining exact representations in the verification of linear hybrid systems with large discrete state spaces. We use AND-Inverter Graphs (AIGs) extended with linear constraints (LinAIGs) as symbolic representation of the hybrid state space, and show how methods for maintaining compactness of AIGs can be lifted to support model-checking of linear hybrid systems with large discrete state spaces. This builds on a novel approach for eliminating sets of redundant constraints in such rich hybrid state representations by a suitable exploitation of the capabilities of SMT solvers, which is of independent value beyond the application context studied in this paper. We used a benchmark derived from an Airbus flap control system (containing $2^{20}$ discrete states) to demonstrate the relevance of the approach.

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Language(s): eng - English
 Dates: 2008-03-252007
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 356419
DOI: 10.1007/978-3-540-75596-8_30
Other: Local-ID: C12573CC004A8E26-C98F37E2DC867E72C12573AA0044D59D-DammDischHungarJacobsPangPigorschSchollWaldmannWirtz2007
 Degree: -

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Title: Untitled Event
Place of Event: Tokyo, Japan
Start-/End Date: 2007-10-22 - 2007-10-25

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Title: Automated Technology for Verification and Analysis, 5th International Symposium, ATVA 2007
Source Genre: Proceedings
 Creator(s):
Namjoshi, Kedar S., Editor
Yoneda, Tomohiro, Editor
Higashino, Teruo, Editor
Okamura, Yoshio, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 425 - 440 Identifier: ISBN: 3-540-75595-1

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -