This paper presents a substitution mechanism for systems having a continuous behavior. It shall preserve the safety property stating that the output of both systems remain in a safety envelope. The whole approach is formalized using Event-B, and relies on the Rodin tools and a theory of Reals provided by the Rodin Theory Plug-in to check the internal consistency with respect to safety properties, invariants and events.
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% BibTex
@inproceedings{BabinASP16,
author = {Guillaume Babin and
Yamine A{\"{\i}}t Ameur and
Neeraj Kumar Singh and
Marc Pantel},
editor = {Michael J. Butler and
Klaus{-}Dieter Schewe and
Atif Mashkoor and
Mikl{\'{o}}s Bir{\'{o}}},
title = {Handling Continuous Functions in Hybrid Systems Reconfigurations:
{A} Formal Event-B Development},
booktitle = {Abstract State Machines, Alloy, B, TLA, VDM, and {Z} - 5th International
Conference, {ABZ} 2016, Linz, Austria, May 23-27, 2016, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9675},
pages = {290--296},
publisher = {Springer},
year = {2016},
url = {https://doi.org/10.1007/978-3-319-33600-8\_23},
doi = {10.1007/978-3-319-33600-8\_23},
timestamp = {Sat, 30 Sep 2023 09:34:45 +0200},
biburl = {https://dblp.org/rec/conf/asm/BabinASP16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}