Abstract
Cosimulation techniques are popular in the design and early testing of cyber-physical systems. Such systems are typically composed of heterogeneous components and specified using a variety of languages and tools; this makes their formal analysis beyond simulation challenging. We here present work on formalised models and proofs about cosimulations in our theorem prover Isabelle/UTP, illustrated by an industrial case study from the railways sector. Novel contributions are a mechanised encoding of the FMI framework for cosimulation, simplification and translation of (case-study) models into languages supported by our proof system, and an encoding of an FMI instantiation.
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References
Modelica Association: Functional Mock-up Interface for Model Exchange and Co-Simulation. Technical Report Document Version 2.0, Linköping University (Sweden), July 2014. http://fmi-standard.org/downloads/
Cavalcanti, A., Sampaio, A., Woodcock, J.: A refinement strategy for \({ Circus}\). Form. Asp. Comput. 15(2), 146–181 (2003)
Cavalcanti, A., Woodcock, J., Amálio, N.: Behavioural models for FMI co-simulations. In: Sampaio, A., Wang, F. (eds.) ICTAC 2016. LNCS, vol. 9965, pp. 255–273. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46750-4_15
Chaochen, Z., Hoare, T., Ravn, A.P.: A calculus of durations. Inf. Process. Lett. 40(5), 269–276 (1991)
Broman, D., et al.: Determinate composition of FMUs for co-simulation. In: Proceedings of EMSOFT 2013, pp. 2:1–2:12. IEEE Press, September 2013
Larsen, P.G., et al.: Tutorial for Overture/VDM-RT. Technical Report TR-005, September 2015. http://overturetool.org/documentation/tutorials.html
Blochwitz, T., et al.: The functional mockup interface for tool independent exchange of simulation models. In: Proceedings of the 8th International Modelica Conference (2011)
Foster, S., Cavalcanti, A., Canham, S., Pierce, K., Woodcock, J.: Final Semantics of VDM-RT. Deliverable 2.2b, INTO-CPS Project, H2020 Grant 644047, December 2016. http://projects.au.dk/fileadmin/D2.2b_Final_VDM-RT_Semantics.pdf
Foster, S., Thiele, B., Cavalcanti, A., Woodcock, J.: Towards a UTP semantics for modelica. In: Bowen, J.P., Zhu, H. (eds.) UTP 2016. LNCS, vol. 10134, pp. 44–64. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-52228-9_3
Foster, S., Zeyda, F., Woodcock, J.: Isabelle/UTP: a mechanised theory engineering framework. In: Naumann, D. (ed.) UTP 2014. LNCS, vol. 8963, pp. 21–41. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-14806-9_2
Gomes, C., Thule, C., Broman, D., Larsen, P.G., Vangheluwe, H.: Co-simulation: state of the art. ArXiv e-prints, arXiv:1702.00686, February 2017
Jifeng, H., Qin, L.: A hybrid relational modelling language. In: Gibson-Robinson, T., Hopcroft, P., Lazić, R. (eds.) Concurrency, Security, and Puzzles. LNCS, vol. 10160, pp. 124–143. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-51046-0_7
Hoare, T.: Communicating Sequential Processes. Prentice-Hall, Upper Saddle River (1985)
Immler, F., Hölzl, J.: Numerical analysis of ordinary differential equations in Isabelle/HOL. In: Beringer, L., Felty, A. (eds.) ITP 2012. LNCS, vol. 7406, pp. 377–392. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32347-8_26
Iugan, L.G., Boucheneb, H., Nicolescu, G.: A generic conceptual framework based on formal representation for the design of continuous/discrete co-simulation tools. Des. Autom. Embed. Syst. 19(3), 243–275 (2015)
Jones, C.B.: Systematic Software Development using VDM. Prentice-Hall, Upper Saddle River (1990)
Lausdahl, K., Verhoef, M., Larsen, P.G., Wolff, S.: Overview of VDM-RT constructs and semantic issues. In Proceedings of the 8th Overture Workshop, CS-TR, vol. 1224, pp. 57–67, September 2010
Modelica Association: Modelica® – A Unified Object-Oriented Language for Systems Modeling, Language Specification, Version 3.4, April 2017. https://www.modelica.org/documents/
Morgan, C.: Programming from Specifications. Prentice-Hall, Upper Saddle River (1996)
Petzold, L.: Differential/algebraic equations are not ODEs. SIAM J. Sci. Stat. Comput. 3(3), 367–384 (1982)
van Amerongen, J., Kleijn, C., Gamble, C.: Continuous-time modelling in 20-sim. In: Fitzgerald, J., Larsen, P.G., Verhoef, M. (eds.) Collaborative Design for Embedded Systems, pp. 27–59. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54118-6_3
Woodcock, J., Davies, J.: Using Z: Specification, Refinement, and Proof. Prentice-Hall, Upper Saddle River (1996)
Zeyda, F., Foster, S., Cavalcanti, A.: Mechanisation of the FMI. Technical report, University of York, UK, June 2017. https://github.com/isabelle-utp/utp-main/blob/master/fmi/fmi_report.pdf
Acknowledgement
We would like to thank the anonymous reviewers for their valuable comments. The work was funded by the INTO-CPS EC grant 644047.
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Zeyda, F., Ouy, J., Foster, S., Cavalcanti, A. (2018). Formalising Cosimulation Models. In: Cerone, A., Roveri, M. (eds) Software Engineering and Formal Methods. SEFM 2017. Lecture Notes in Computer Science(), vol 10729. Springer, Cham. https://doi.org/10.1007/978-3-319-74781-1_31
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