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An SMT-based Approach to analyze Non-Linear Relations of Parameters for Hybrid Systems

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Formal Modeling and Verification of Cyber-Physical Systems

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Abstract

Deriving constraints over parameters to avoid unexpected system behaviors is extremely important for parametric analysis of hybrid systems. In the long run, our project aims for an SMT-based approach to reveal non-linear relations between parameters for hybrid systems that are specified by parameterized formal models using standard data types (reals, integers and booleans) and affine dynamics. The problem we address is undecidable since the underlying logic consists of boolean combinations of propositional logic atoms as well as atoms from non-linear arithmetic theories over integers and reals with quantifiers. Currently, a symbolic simulation algorithm has been prototypically implemented based on a new developed prototypical constraint solver.

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Authors and Affiliations

  1. Embedded Systems Group, Department of Computer Science, University of Kaiserslautern, Kaiserslautern, Germany

    Xian Li & Klaus Schneider (PhD advisor)

Authors
  1. Xian Li
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  2. Klaus Schneider
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Correspondence to Xian Li .

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Editors and Affiliations

  1. University of Bremen, Bremen, Germany

    Rolf Drechsler

  2. University of Bremen, Bremen, Germany

    Ulrich Kühne

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Li, X., Schneider, K. (2015). An SMT-based Approach to analyze Non-Linear Relations of Parameters for Hybrid Systems. In: Drechsler, R., Kühne, U. (eds) Formal Modeling and Verification of Cyber-Physical Systems. Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-09994-7_16

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  • DOI: https://doi.org/10.1007/978-3-658-09994-7_16

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  • Publisher Name: Springer Vieweg, Wiesbaden

  • Print ISBN: 978-3-658-09993-0

  • Online ISBN: 978-3-658-09994-7

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