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

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Title in English Parallel Parameter Synthesis for Multi-affine Hybrid Systems from Hybrid CTL Specifications
Authors

ŠMIJÁKOVÁ Eva PASTVA Samuel ŠAFRÁNEK David BRIM Luboš

Year of publication 2020
Type Article in Proceedings
Conference Computational Methods in Systems Biology. CMSB 2020. Lecture Notes in Computer Science, vol 12314
MU Faculty or unit

Faculty of Informatics

Citation
Web https://link.springer.com/chapter/10.1007/978-3-030-60327-4_15
Doi http://dx.doi.org/10.1007/978-3-030-60327-4_15
Keywords Hybrid systems; Parameter synthesis; Rectangular abstraction; Semi-symbolic; Hybrid CTL
Description 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.
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