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Formal System Modelling Using Abstract Data Types in Event-B

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Abstract State Machines, Alloy, B, TLA, VDM, and Z (ABZ 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8477))

Abstract

We present a formal modelling approach using Abstract Data Types (ADTs) for developing large-scale systems in Event-B. The novelty of our approach is the combination of refinement and instantiation techniques to manage the complexity of systems under development. With ADTs, we model system components on an abstract level, specifying only the necessary properties of the components. At the same time, we postpone the introduction of their concrete definitions to later development steps. We evaluate our approach using a largescale case study in train control systems. The results show that our approach helps reduce system details during early development stages and leads to simpler and more automated proofs.

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References

  1. Abrial, J.-R.: The B-book: Assigning Programs to Meanings. Cambridge University Press (1996)

    Google Scholar 

  2. Abrial, J.-R.: Formal Methods in Industry: Achievements, Problems, Future. In: Osterweil, L.J., Rombach, H.D., Soffa, M.L. (eds.) ICSE, pp. 761–768. ACM (2006)

    Google Scholar 

  3. Abrial, J.-R.: Modeling in Event-B: System and Software Engineering. Cambridge University Press (2010)

    Google Scholar 

  4. Abrial, J.-R.: From Z to B and then Event-B: Assigning Proofs to Meaningful Programs. In: Johnsen, E.B., Petre, L. (eds.) IFM 2013. LNCS, vol. 7940, pp. 1–15. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Abrial, J.-R., Hallerstede, S.: Refinement, Decomposition, and Instantiation of Discrete Models: Application to Event-B. Fundam. Inform. 77(1-2), 1–28 (2007)

    MATH  MathSciNet  Google Scholar 

  6. European Railway Agency. ERTMS/ETCS Functional Requirements Specification. European Railway Agency, Valencinnes, France (2007)

    Google Scholar 

  7. Basin, D., Fürst, A., Hoang, T.S., Miyazaki, K., Sato, N.: Abstract Data Types in Event-B - An Application of Generic Instantiation. CoRR (2012)

    Google Scholar 

  8. Behm, P., Benoit, P., Faivre, A., Meynadier, J.-M.: Météor: A Successful Application of B in a Large Project. In: Wing, J.M., Woodcock, J. (eds.) FM 1999. LNCS, vol. 1708, pp. 369–387. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  9. Bjørner, D.: New Results and Trends in Formal Techniques & Tools for the Development of Software for Transportation Systems. In: FORMS (2003)

    Google Scholar 

  10. Breitman, K., Cavalcanti, A. (eds.): ICFEM 2009. LNCS, vol. 5885. Springer, Heidelberg (2009)

    Google Scholar 

  11. Butler, M., Maamria, I.: Practical theory extension in Event-B. In: Liu, Z., Woodcock, J., Zhu, H. (eds.) Theories of Programming and Formal Methods. LNCS, vol. 8051, pp. 67–81. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Ehrig, H., Mahr, B.: Fundamentals of Algebraic Specification 1: Equations und Initial Semantics. EATCS Monographs on Theoretical Computer Science, vol. 6. Springer (1985)

    Google Scholar 

  13. Fürst, A., Desai, K., Hoang, T.S., Sato, N.: Generic Instantiation Plug-in, http://sourceforge.net/projects/gen-inst/

  14. Haxthausen, A.E., Peleska, J.: Formal Development and Verification of a Distributed Railway Control System. In: Wing, J.M., Woodcock, J., Davies, J. (eds.) FM 1999. LNCS, vol. 1709, pp. 1546–1563. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  15. IEEE Std 1474.1-2004. IEEE Standard for Communications-Based Train Control (CBTC) Performance and Functional Requirements. IEEE, New York, USA (2005)

    Google Scholar 

  16. Liskov, B., Zilles, S.: Programming with Abstract Data Types. In: Proceedings of the ACM SIGPLAN Symposium on Very High Level Languages, pp. 50–59. ACM, New York (1974)

    Chapter  Google Scholar 

  17. Platzer, A., Quesel, J.-D.: European Train Control System: A Case Study in Formal Verification. In: Breitman, Cavalcanti [10], pp. 246–265

    Google Scholar 

  18. Sannella, D., Tarlecki, A.: Essential Concepts of Algebraic Specification and Program Development. Formal Asp. Comput. 9(3), 229–269 (1997)

    Article  MATH  Google Scholar 

  19. Silva, R., Butler, M.: Supporting Reuse of Event-B Developments through Generic Instantiation. In: Breitman, Cavalcanti [10], pp. 466–484

    Google Scholar 

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Fürst, A., Hoang, T.S., Basin, D., Sato, N., Miyazaki, K. (2014). Formal System Modelling Using Abstract Data Types in Event-B. In: Ait Ameur, Y., Schewe, KD. (eds) Abstract State Machines, Alloy, B, TLA, VDM, and Z. ABZ 2014. Lecture Notes in Computer Science, vol 8477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43652-3_20

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  • DOI: https://doi.org/10.1007/978-3-662-43652-3_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43651-6

  • Online ISBN: 978-3-662-43652-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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