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 220 discrete states) to demonstrate the relevance of the approach.
This work was partly supported by the German Research Council (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR 14 AVACS, http://www.avacs.org/).
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Damm, W. et al. (2007). Exact State Set Representations in the Verification of Linear Hybrid Systems with Large Discrete State Space . In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds) Automated Technology for Verification and Analysis. ATVA 2007. Lecture Notes in Computer Science, vol 4762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75596-8_30
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