Pithya: A Parallel Tool for Parameter Synthesis of Piecewise Multi-Affine Dynamical Systems

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Authors

BENEŠ Nikola BRIM Luboš DEMKO Martin PASTVA Samuel ŠAFRÁNEK David

Year of publication 2017
Type Article in Proceedings
Conference Computer Aided Verification. CAV 2017
MU Faculty or unit

Faculty of Informatics

Citation
Web https://doi.org/10.1007/978-3-319-63387-9_29
Doi http://dx.doi.org/10.1007/978-3-319-63387-9_29
Field Informatics
Keywords model checking; satisfiability modulo theories; Computational Tree Logic; dynamical systems; distributed algorithms
Description We present a novel tool for parameter synthesis of piecewise multi-affine dynamical systems from specifications expressed in a hybrid branching-time temporal logic. The tool is based on the algorithm of parallel semi-symbolic coloured model checking that extends standard model checking methods to cope with parametrised Kripke structures. The tool implements state-of-the-art techniques developed in our previous research and is primarily intended to be used for the analysis of dynamical systems with uncertain parameters that frequently arise in computational systems biology. However, it can be employed for any dynamical system where the non-linear equations can be sufficiently well approximated by piecewise multi-affine equations.
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