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Using Cylindrical Algebraic Decomposition for the Analysis of Slope Parametric Hybrid Automata

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Formal Techniques in Real-Time and Fault-Tolerant Systems (FTRTFT 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1926))

Abstract

We address the ambitious problem of synthesizing the parameters which stand for the execution speeds in time constrained executions of a real-time system. The core of the paper is a new method based on the Gröbner bases and the so-called Cylindrical Algebraic Decomposition in order to design a simplification algorithm and a test inclusion upon sets of inequalities. The method is illustrated throughout the paper with a small example.

IRCCyN/CNRS UMR 6597 (1 rue de la Noë, BP 92101, 44321 Nantes cedex 03, France) e-mail: fMichael.Adelaide j Olivier.Rouxg@ircyn.ec-nantes.fr

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AdélaÏde, M., Roux, O. (2000). Using Cylindrical Algebraic Decomposition for the Analysis of Slope Parametric Hybrid Automata. In: Joseph, M. (eds) Formal Techniques in Real-Time and Fault-Tolerant Systems. FTRTFT 2000. Lecture Notes in Computer Science, vol 1926. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45352-0_21

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  • DOI: https://doi.org/10.1007/3-540-45352-0_21

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  • Print ISBN: 978-3-540-41055-3

  • Online ISBN: 978-3-540-45352-9

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