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Robust Satisfaction of Temporal Logic over Real-Valued Signals

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Formal Modeling and Analysis of Timed Systems (FORMATS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6246))

Abstract

We consider temporal logic formulae specifying constraints in continuous time and space on the behaviors of continuous and hybrid dynamical system admitting uncertain parameters. We present several variants of robustness measures that indicate how far a given trajectory stands, in space and time, from satisfying or violating a property. We present a method to compute these robustness measures as well as their sensitivity to the parameters of the system or parameters appearing in the formula. Combined with an appropriate strategy for exploring the parameter space, this technique can be used to guide simulation-based verification of complex nonlinear and hybrid systems against temporal properties. Our methodology can be used for other non-traditional applications of temporal logic such as characterizing subsets of the parameter space for which a system is guaranteed to satisfy a formula with a desired robustness degree.

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Authors and Affiliations

  1. CNRS-Verimag, 2 Av. de Vignate, 38610, Gières, France

    Alexandre Donzé & Oded Maler

Authors
  1. Alexandre Donzé
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  2. Oded Maler
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Editors and Affiliations

  1. Institute of Science and Technology, IST Austria, Am Campus 1, 3400, Klosterneuburg, Austria

    Krishnendu Chatterjee

  2. Institute of Science and Technology, IST Austria, V, 3400, Klosterneuburg, Austria

    Thomas A. Henzinger

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Donzé, A., Maler, O. (2010). Robust Satisfaction of Temporal Logic over Real-Valued Signals. In: Chatterjee, K., Henzinger, T.A. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2010. Lecture Notes in Computer Science, vol 6246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15297-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-15297-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15296-2

  • Online ISBN: 978-3-642-15297-9

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