Skip to main content

An Abstract Model for Proving Safety of Autonomous Urban Traffic

  • Conference paper
  • First Online:
Theoretical Aspects of Computing – ICTAC 2016 (ICTAC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9965))

Included in the following conference series:

Abstract

The specification of Multi-lane Spatial Logic (MLSL) was introduced in [1, 2] for proving safety (collision freedom) on multi-lane motorways and country roads. We now consider an extension of MLSL to deal with urban traffic scenarios, thereby focusing on crossing manoeuvres at intersections. To this end, we modify the existing abstract model by introducing a generic topology of urban traffic networks. We then show that even at intersections we can use purely spatial reasoning, detached from the underlying car dynamics, to prove safety of controllers modelled as extended timed automata.

This research was partially supported by the German Research Council (DFG) in the Transregional Collaborative Research Center SFB/TR 14 AVACS.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Hilscher, M., Linker, S., Olderog, E.-R., Ravn, A.P.: An abstract model for proving safety of multi-lane traffic manoeuvres. In: Qin, S., Qiu, Z. (eds.) ICFEM 2011. LNCS, vol. 6991, pp. 404–419. Springer, Heidelberg (2011). doi:10.1007/978-3-642-24559-6_28

    Chapter  Google Scholar 

  2. Hilscher, M., Linker, S., Olderog, E.-R.: Proving safety of traffic manoeuvres on country roads. In: Liu, Z., Woodcock, J., Zhu, H. (eds.) Theories of Programming and Formal Methods. LNCS, vol. 8051, pp. 196–212. Springer, Heidelberg (2013). doi:10.1007/978-3-642-39698-4_12

    Chapter  Google Scholar 

  3. Moszkowski, B.: A temporal logic for multilevel reasoning about hardware. Computer 18, 10–19 (1985)

    Article  Google Scholar 

  4. Zhou, C., Hoare, C., Ravn, A.: A calculus of durations. Inf. Process. Lett. 40, 269–276 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  5. Schäfer, A.: A calculus for shapes in time and space. In: Liu, Z., Araki, K. (eds.) ICTAC 2004. LNCS, vol. 3407, pp. 463–477. Springer, Heidelberg (2005). doi:10.1007/978-3-540-31862-0_33

    Chapter  Google Scholar 

  6. Loos, S.M., Platzer, A.: Safe intersections: at the crossing of hybrid systems and verification. In: Yi, K. (ed.) Intelligent Transportation Systems (ITSC), pp. 1181–1186. Springer, Heidelberg (2011)

    Google Scholar 

  7. Werling, M., Gindele, T., Jagszent, D., Gröll, L.: A robust algorithm for handling moving traffic in urban scenarios. In: Proceedings of IEEE Intelligent Vehicles Symposium, Eindhoven, The Netherlands, pp. 168–173 (2008)

    Google Scholar 

  8. Colombo, A., Del Vecchio, D.: Efficient algorithms for collision avoidance at intersections. In: Proceedings of the 15th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2012, pp. 145–154. ACM, New York (2012)

    Google Scholar 

  9. Alur, R., Dill, D.: A theory of timed automata. TCS 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  10. Woodcock, J., Davies, J.: Using Z - Specification, Refinement, and Proof. Prentice Hall, Upper Saddle River (1996)

    MATH  Google Scholar 

  11. Linker, S., Hilscher, M.: Proof theory of a multi-lane spatial logic. In: Liu, Z., Woodcock, J., Zhu, H. (eds.) ICTAC 2013. LNCS, vol. 8049, pp. 231–248. Springer, Heidelberg (2013). doi:10.1007/978-3-642-39718-9_14

    Chapter  Google Scholar 

  12. Behrmann, G., David, A., Larsen, K.G.: A tutorial on Uppaal. In: Bernardo, M., Corradini, F. (eds.) SFM-RT 2004. LNCS, vol. 3185, pp. 200–236. Springer, Heidelberg (2004). doi:10.1007/978-3-540-30080-9_7

    Chapter  Google Scholar 

  13. Damm, W., Hungar, H., Olderog, E.R.: Verification of cooperating traffic agents. Int. J. Control 79, 395–421 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  14. Damm, W., Möhlmann, E., Rakow, A.: Component based design of hybrid systems: a case study on concurrency and coupling. In: Proceedings of the 17th International Conference on Hybrid Systems: Computation and Control, pp. 145–150. ACM (2014)

    Google Scholar 

  15. Olderog, E., Ravn, A.P., Wisniewski, R.: Linking spatial and dynamic models for traffic maneuvers. In: 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, pp. 6809–6816, 15–18 December 2015

    Google Scholar 

  16. Linker, S.: Proofs for Traffic Safety - Combining Diagrams and Logic. Ph.d thesis, University of Oldenburg (2015)

    Google Scholar 

  17. Fränzle, M., Hansen, M.R., Ody, H.: No need knowing numerous neighbours. In: Meyer, R., Platzer, A., Wehrheim, H. (eds.) Correct System Design. LNCS, vol. 9360, pp. 152–171. Springer, Heidelberg (2015). doi:10.1007/978-3-319-23506-6_11

    Chapter  Google Scholar 

  18. Alrahman, Y.A., De Nicola, R., Loreti, M., Tiezzi, F., Vigo, R.:A calculus for attribute-based communication. In: Proceedings of the 30th Annual ACM Symposium on Applied Computing, SAC 2015, pp. 1840–1845. ACM, New York (2015)

    Google Scholar 

  19. Pnueli, A.: The temporal logic of programs. In: Proceedings of the 18th Annual Symposium on Foundations of Computer Science, SFCS 1977, Washington, DC, USA, pp. 46–57. IEEE Computer Society (1977)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maike Schwammberger .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Hilscher, M., Schwammberger, M. (2016). An Abstract Model for Proving Safety of Autonomous Urban Traffic. In: Sampaio, A., Wang, F. (eds) Theoretical Aspects of Computing – ICTAC 2016. ICTAC 2016. Lecture Notes in Computer Science(), vol 9965. Springer, Cham. https://doi.org/10.1007/978-3-319-46750-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46750-4_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46749-8

  • Online ISBN: 978-3-319-46750-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics