3 years ago

A Probabilistic Calculus of Cyber-Physical Systems.

Massimo Merro, Simone Tini, Ruggero Lanotte

We propose a hybrid probabilistic process calculus for modelling and reasoning on cyber-physical systems (CPSs). The dynamics of the calculus is expressed in terms of a probabilistic labelled transition system in the SOS style of Plotkin. This is used to define a bisimulation-based probabilistic behavioural semantics which supports compositional reasonings. For a more careful comparison between CPSs, we provide two compositional probabilistic metrics to formalise the notion of behavioural distance between systems, also in the case of bounded computations. Finally, we provide a non-trivial case study, taken from an engineering application, and use it to illustrate our definitions and our compositional behavioural theory for CPSs.

Publisher URL: http://arxiv.org/abs/1707.02279

DOI: arXiv:1707.02279v2

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