Abstract
We explore the application of graph database technology to spatio-temporal model checking of cooperating cyber-physical systems-of- systems such as vehicle platoons. We present a translation of spatio-temporal automata (STA) and the spatio-temporal logic STAL to semantically equivalent property graphs and graph queries respectively. We prove a sound reduction of the spatio-temporal verification problem to graph database query solving. The practicability and efficiency of this approach is evaluated by introducing NeoMC, a prototype implementation of our explicit model checking approach based on Neo4j. To evaluate NeoMC we consider case studies of verifying vehicle platooning models. Our evaluation demonstrates the effectiveness of our approach in terms of execution time and counterexample detection.
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Notes
- 1.
To ensure decidability, STAL is syntactically restricted so that quantification over data types is not allowed.
- 2.
This definition clearly generalises to the n-dimensional case.
- 3.
denoted as “(key,value)”.
- 4.
Note: we can derive relative velocity from absolute velocity, and both measurements are always bounded in practise.
- 5.
In this figure, \(n_i\in N \), \(e_i\in \textit{E}\), \(\textit{L}=\{\) “\(\textit{State}\)”\(\}\), \(\textit{T}=\{``\textit{Next}"\}\), \(\textit{Lab}(n_i)=\) “\(\textit{State}\)” and \(\textit{Typ}(e_i)=\) “\(\textit{Next}\)”.
- 6.
By the construction rules of Fig. 8, \(\mathcal {G}_{A}\) is essentially structurally isomorphic to A.
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Acknowledgments
This research has been supported by KTH ICT-TNG project STaRT (Spatio-Temporal Planning at Runtime), as well as the German Federal Ministry of Education and Research (BMBF) through funding for the CISPA-Stanford Center for Cybersecurity (FKZ: 13N1S0762).
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Khosrowjerdi, H., Nemati, H., Meinke, K. (2020). Spatio-Temporal Model-Checking of Cyber-Physical Systems Using Graph Queries. In: Ahrendt, W., Wehrheim, H. (eds) Tests and Proofs. TAP 2020. Lecture Notes in Computer Science(), vol 12165. Springer, Cham. https://doi.org/10.1007/978-3-030-50995-8_4
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