Abstract
We study a component-based approach to simplify the challenges of verifying large-scale hybrid systems. Component-based modeling can be used to split large models into partial models to reduce modeling complexity. Yet, verification results also need to transfer from components to composites. In this paper, we propose a component-based hybrid system verification approach that combines the advantages of component-based modeling (e.g., reduced model complexity) with the advantages of formal verification (e.g., guaranteed contract compliance). Our strategy is to decompose the system into components, verify their local safety individually and compose them to form an overall system that provably satisfies a global contract, without proving the whole system. We introduce the necessary formalism to define the structure and behavior of components and a technique how to compose components such that safety properties provably emerge from component safety.
Work partly funded by BMVIT grant FFG BRIDGE 838526, OeAD Marietta Blau grant ICM-2014-08600, FWF P28187-N31, and ERC PIOF-GA-2012-328378.
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Notes
- 1.
- 2.
Bound variables of a hybrid program are all those that may potentially be written to, while free variables are all those that may potentially be read [23].
- 3.
Note that in this case the output property and the safety property coincide. This is not necessarily always the case.
- 4.
Definition 5 restricts how variables between components can be shared.
- 5.
All proofs were done in KeYmaera X [8].
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Müller, A., Mitsch, S., Retschitzegger, W., Schwinger, W., Platzer, A. (2016). A Component-Based Approach to Hybrid Systems Safety Verification. In: Ábrahám, E., Huisman, M. (eds) Integrated Formal Methods. IFM 2016. Lecture Notes in Computer Science(), vol 9681. Springer, Cham. https://doi.org/10.1007/978-3-319-33693-0_28
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