Simulation Based Computation of Certificates for Safety of Dynamical Systems

0477866 - ÚI 2018 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Ratschan, Stefan
Simulation Based Computation of Certificates for Safety of Dynamical Systems.
Formal Modeling and Analysis of Timed Systems. Cham: Springer, 2017 - (Abbate, A.; Geeraerts, G.), s. 303-317. Lecture Notes in Computer Science, 10419. ISBN 978-3-319-65764-6. ISSN 0302-9743.
[FORMATS 2017. International Conference /15./. Berlin (DE), 05.09.2017-07.09.2017]
Grant CEP: GA ČR GA15-14484S
Institucionální podpora: RVO:67985807
Klíčová slova: formal verification * dynamical systems
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

In this paper, we present an algorithm for synthesizing certificates for safety of continuous time dynamical systems, so-called barrier certificates. Unlike the usual approach of using constraint solvers to compute the certificate from the system dynamics, we synthesize the certificate from system simulations. This makes the algorithm applicable even in cases where the dynamics is either not explicitly available, or too complicated to be analyzed by constraint solvers, for example, due to the presence of transcendental function symbols. The algorithm itself allows the usage of heuristic techniques in which case it does not formally guarantee correctness of the result. However, in cases that do allow rigorous constraint solving, the computed barrier certificate can be rigorously verified, if desired. Hence, in such cases, our algorithm reduces the problem of finding a barrier certificate to the problem of formally verifying a given barrier certificate.
Trvalý link: http://hdl.handle.net/11104/0274082