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Differential Dynamic Logic for Verifying Parametric Hybrid Systems

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Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4548))

Abstract

We introduce a first-order dynamic logic for reasoning about systems with discrete and continuous state transitions, and we present a sequent calculus for this logic. As a uniform model, our logic supports hybrid programs with discrete and differential actions. For handling real arithmetic during proofs, we lift quantifier elimination to dynamic logic. To obtain a modular combination, we use side deductions for verifying interacting dynamics. With this, our logic supports deductive verification of hybrid systems with symbolic parameters and first-order definable flows. Using our calculus, we prove a parametric inductive safety constraint for speed supervision in a train control system.

This research was supported by a fellowship of the German Academic Exchange Service (DAAD) and 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, see www.avacs.org).

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Authors and Affiliations

  1. University of Oldenburg, Department of Computing Science, Germany, Carnegie Mellon University, Computer Science Department, Pittsburgh, PA,  

    André Platzer

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  1. André Platzer
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Nicola Olivetti

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Platzer, A. (2007). Differential Dynamic Logic for Verifying Parametric Hybrid Systems. In: Olivetti, N. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2007. Lecture Notes in Computer Science(), vol 4548. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73099-6_17

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  • DOI: https://doi.org/10.1007/978-3-540-73099-6_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73098-9

  • Online ISBN: 978-3-540-73099-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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