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Linking Discrete and Continuous Models, Applied to Traffic Manoeuvrers

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Provably Correct Systems

Part of the book series: NASA Monographs in Systems and Software Engineering ((NASA))

Abstract

The interplay between discrete and continuous dynamical models is discussed, and a systematic approach to developing and combining these models together is outlined. The combination is done with linking predicates that define refinement relations between the models. As a case study, we build an abstract, discr spatial model and a concrete, continuous dynamic model for traffic manoeuvrers of multiple vehicles on highways. In the discrete model we show the safety (collision freedom) of distance keeping and lane-change manoeuvrers using events and actions to specify state transitions. By linking the discrete and continuous model via suitable predicates that express the discrete events and actions as distances and set-points in the continuous model, the safety carries over to the concrete model.

This research was partially supported by the German Research Foundation (DFG) in the Transregional Collaborative Research Center (SFB/TR 14) AVACS(www.avacs.org). This chapter is a revised and extended version of the conference paper [35].

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Acknowledgements

We thank three anonymous reviewers for their helpful comments.

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Authors and Affiliations

  1. Department of Computing Science, University of Oldenburg, Oldenburg, Germany

    Ernst-Rüdiger Olderog

  2. Department of Computer Science, Aalborg University, Aalborg, Denmark

    Anders P. Ravn

  3. Department of Automation, Aalborg University, Aalborg, Denmark

    Rafael Wisniewski

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  1. Ernst-Rüdiger Olderog
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  2. Anders P. Ravn
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  3. Rafael Wisniewski
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Correspondence to Anders P. Ravn .

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Editors and Affiliations

  1. University of Limerick, Lero-the Irish Software Research Centre University of Limerick, Limerick, Limerick, Ireland

    Mike Hinchey

  2. Museophile Ltd , Oxford, United Kingdom

    Jonathan P. Bowen

  3. Department für Informatik, Universität Oldenburg Department für Informatik, Oldenburg, Germany

    Ernst-Rüdiger Olderog

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Olderog, ER., Ravn, A.P., Wisniewski, R. (2017). Linking Discrete and Continuous Models, Applied to Traffic Manoeuvrers. In: Hinchey, M., Bowen, J., Olderog, ER. (eds) Provably Correct Systems. NASA Monographs in Systems and Software Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-48628-4_5

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  • DOI: https://doi.org/10.1007/978-3-319-48628-4_5

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