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Parallel Parameter Synthesis for Multi-affine Hybrid Systems from Hybrid CTL Specifications

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Computational Methods in Systems Biology (CMSB 2020)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 12314))

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Abstract

We consider the parameter synthesis problem for multi-affine hybrid systems and properties specified using a hybrid extension of CTL (HCTL). The goal is to determine the sets of parameter valuations for which the given hybrid system satisfies the desired HCTL property. As our main contribution, we propose a shared-memory parallel algorithm which efficiently computes such parameter valuation sets. We combine a rectangular discretisation of the continuous dynamics with the discrete transitions of the hybrid system to obtain a single over-approximating semi-symbolic transition system. Such system can be then analysed using a fixed-point parameter synthesis algorithm to obtain all satisfying parametrisations. We evaluate the scalability of the method and demonstrate its applicability in a biological case study.

L. Brim–This work has been supported by the Czech Science Foundation grant No. 18-00178S.

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Author information

Authors and Affiliations

  1. Faculty of Informatics, Masaryk University, Brno, Czech Republic

    Eva Šmijáková, Samuel Pastva, David Šafránek & Luboš Brim

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  1. Eva Šmijáková
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  2. Samuel Pastva
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Correspondence to David Šafránek .

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Editors and Affiliations

  1. Department of Computer Science, University of Oxford, Oxford, UK

    Alessandro Abate

  2. Department of Computer and Information Science, University of Konstanz, Konstanz, Germany

    Tatjana Petrov

  3. Department of Computer Science, Saarland University, Saarbrücken, Germany

    Verena Wolf

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Šmijáková, E., Pastva, S., Šafránek, D., Brim, L. (2020). Parallel Parameter Synthesis for Multi-affine Hybrid Systems from Hybrid CTL Specifications. In: Abate, A., Petrov, T., Wolf, V. (eds) Computational Methods in Systems Biology. CMSB 2020. Lecture Notes in Computer Science(), vol 12314. Springer, Cham. https://doi.org/10.1007/978-3-030-60327-4_15

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  • DOI: https://doi.org/10.1007/978-3-030-60327-4_15

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