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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Exact State Set Representations in the Verification of Linear Hybrid Systems with Large Discrete State Space
verfasst von : Werner Damm, Stefan Disch, Hardi Hungar, Swen Jacobs, Jun Pang, Florian Pigorsch, Christoph Scholl, Uwe Waldmann, Boris Wirtz
Erschienen in: Automated Technology for Verification and Analysis
Verlag: Springer Berlin Heidelberg
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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.