Skip to main content

A Refinement Relation for Families of Timed Automata

  • Conference paper
  • First Online:
Formal Methods: Foundations and Applications (SBMF 2017)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10623))

Included in the following conference series:

Abstract

Software Product Lines (SPLs) are families of systems that share a high number of common assets while differing in others. In component-based systems, components themselves can be SPLs, i.e., each component can be seen as a family of variations, with different interfaces and functionalities, typically parameterized by a set of features and a feature model that specifies the valid combinations of features. This paper explores how to safely replace such families of components with more refined ones. We propose a notion of refinement for Interface Featured Timed Automata (IFTA), a formalism to model families of timed automata with support for multi-action transitions. We separate the notion of IFTA refinement into behavioral and variability refinement, i.e., the refinement of the underlying timed automata and feature model. Furthermore, we define behavioral refinement for the semantic level, i.e., transition systems, as an alternating simulation between systems, and lift this definition to IFTA refinement. We illustrate this notion with examples throughout the text and show that refinement is a pre-order and compositional.

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 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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

Notes

  1. 1.

    http://www.uppaal.org.

  2. 2.

    https://github.com/haslab/ifta.

References

  1. de Alfaro, L., Henzinger, T.A.: Interface automata. SIGSOFT Softw. Eng. Notes 26(5), 109–120 (2001). http://doi.acm.org/10.1145/503271.503226

  2. de Alfaro, L., Henzinger, T.A.: Interface-based design. In: Broy, M., Grünbauer, J., Harel, D., Hoare, T. (eds.) Engineering Theories of Software Intensive Systems. NATO Science Series (Series II: Mathematics, Physics and Chemistry), vol. 195. Springer, Dordrecht (2005)

    Chapter  Google Scholar 

  3. Alur, R., Henzinger, T.A., Kupferman, O., Vardi, M.Y.: Alternating refinement relations. In: Sangiorgi, D., Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 163–178. Springer, Heidelberg (1998). https://doi.org/10.1007/BFb0055622

    Chapter  Google Scholar 

  4. Baier, C., Katoen, J.P., Larsen, K.G.: Principles of model checking (2008)

    Google Scholar 

  5. Classen, A., Heymans, P., Schobbens, P.Y., Legay, A.: Symbolic model checking of software product lines. In: International Conference on Software Engineering (ICSE), pp. 321–330 (2011). http://dl.acm.org/citation.cfm?id=1985838

  6. Cledou, G.: A Virtual Factory for Smart City Service Integration (forthcoming). Ph.D. thesis, Universidades do Minho, Aveiro and Porto (Joint MAP-i Doctoral Programme) (2018, to appear)

    Google Scholar 

  7. Cledou, G., Proença, J., Barbosa, L.: Composing families of timed automata. FSEN 2017. LNCS, vol. 10522. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-68972-2_4

    Chapter  Google Scholar 

  8. Cordy, M., Schobbens, P.Y., Heymans, P., Legay, A.: Behavioural modelling and verification of real-time software product lines. In: Proceedings of the 16th International Software Product Line Conference, vol. 1, pp. 66–75. ACM (2012)

    Google Scholar 

  9. David, A., Larsen, K.G., Legay, A., Nyman, U., Wasowski, A.: Timed I/O automata: a complete specification theory for real-time systems. In: Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2010), pp. 91–100. ACM, New York (2010). http://doi.acm.org/10.1145/1755952.1755967

  10. Thum, T., Batory, D., Kastner, C.: Reasoning about edits to feature models. In: Proceedings of the 31st International Conference on Software Engineering (ICSE 2009), pp. 254–264. IEEE Computer Society, Washington (2009). http://dx.doi.org/10.1109/ICSE.2009.5070526

Download references

Acknowledgements

The first author is supported by the European Regional Development Fund (ERDF) through the Operational Programme for Competitiveness and Internationalisation (COMPETE 2020), and by National Funds through the Portuguese funding agency, FCT, within project TRUST, POCI-01-0145- FEDER-016826. In addition the first and second author are supported by FCT grants PD/BD/52238/2013 and SFRH/BPD/91908/2012, respectively.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guillermina Cledou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Cledou, G., Proença, J., Barbosa, L.S. (2017). A Refinement Relation for Families of Timed Automata. In: Cavalheiro, S., Fiadeiro, J. (eds) Formal Methods: Foundations and Applications. SBMF 2017. Lecture Notes in Computer Science(), vol 10623. Springer, Cham. https://doi.org/10.1007/978-3-319-70848-5_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70848-5_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70847-8

  • Online ISBN: 978-3-319-70848-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics