Refinement Plans for Informed Formal Design

  • Gudmund Grov
  • Andrew Ireland
  • Maria Teresa Llano
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7316)

Abstract

Refinement is a powerful technique for tackling the complexities that arise when formally modelling systems. Here we focus on a posit-and-prove style of refinement, and specifically where a user requires guidance in order to overcome a failed refinement step. We take an integrated approach – combining the complementary strengths of top-down planning and bottom-up theory formation. In this paper we focus mainly on the planning perspective. Specifically, we propose a new technique called refinement plans which combines both modelling and reasoning perspectives. When a refinement step fails, refinement plans provide a basis for automatically generating modelling guidance by abstracting away from the details of low-level proof failures. The refinement plans described here are currently being implemented for the Event-B modelling formalism, and have been assessed on paper using case studies drawn from the literature. Longer-term, our aim is to identify refinement plans that are applicable to a range of modelling formalisms.

Keywords

Concrete Model Selection Heuristic Accumulator Variable Modelling Guidance Accumulator Pattern 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Abrial, J.-R.: Modelling in Event-B: System and Software Engineering. Cambridge University Press (2010)Google Scholar
  2. 2.
    Abrial, J.-R., Hoang, T.S.: Using Design Patterns in Formal Methods: An Event-B Approach. In: Fitzgerald, J.S., Haxthausen, A.E., Yenigun, H. (eds.) ICTAC 2008. LNCS, vol. 5160, pp. 1–2. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  3. 3.
    Bendisposto, J., Leuschel, M.: Automatic Flow Analysis for Event-B. In: Giannakopoulou, D., Orejas, F. (eds.) FASE 2011. LNCS, vol. 6603, pp. 50–64. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  4. 4.
    Bundy, A.: A science of reasoning. In: Computational Logic: Essays in Honor of Alan Robinson. MIT Press (1991)Google Scholar
  5. 5.
    Butler, M.: Decomposition Structures for Event-B. In: Leuschel, M., Wehrheim, H. (eds.) IFM 2009. LNCS, vol. 5423, pp. 20–38. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  6. 6.
    Butler, M., Yadav, D.: An incremental development of the mondex system in Event-B. Formal Aspects of Computing 20(1) (2008)Google Scholar
  7. 7.
    Cavalcanti, A., Woodcock, J.: ZRC - A Refinement Calculus for Z. Formal Aspects of Computing 10(3) (1998)Google Scholar
  8. 8.
    Colton, S.: Automated Theory Formation in Pure Mathematics. Springer (2002)Google Scholar
  9. 9.
    Damchoom, K.: An Incremental Refinement Approach to a Development of a Flash-Based File System in Event-B. PhD thesis, University of Southampton (2010)Google Scholar
  10. 10.
    Salehi Fathabadi, A., Butler, M.: Applying Event-B Atomicity Decomposition to a Multi Media Protocol. In: de Boer, F.S., Bonsangue, M.M., Hallerstede, S., Leuschel, M. (eds.) FMCO 2009. LNCS, vol. 6286, pp. 89–104. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  11. 11.
    Salehi Fathabadi, A., Rezazadeh, A., Butler, M.: Applying Atomicity and Model Decomposition to a Space Craft System in Event-B. In: Bobaru, M., Havelund, K., Holzmann, G.J., Joshi, R. (eds.) NFM 2011. LNCS, vol. 6617, pp. 328–342. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  12. 12.
    Fürst, A.: Design Patterns in Event-B and Their Tool Support. Master’s thesis, ETH Zürich (2009)Google Scholar
  13. 13.
    Gamma, E., Helm, R., Johnson, R., Vlissides, J.: Design Patterns: Elements of Reusable Object-Oriented Software. Addison-Wesley (1995)Google Scholar
  14. 14.
    Hallerstede, S.: Structured Event-B Models and Proofs. In: Frappier, M., Glässer, U., Khurshid, S., Laleau, R., Reeves, S. (eds.) ABZ 2010. LNCS, vol. 5977, pp. 273–286. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  15. 15.
    Hoang, T.S., Basin, D., Kuruma, H., Abrial, J.-R.: Development of a network topology discovery algorithm. DEPLOY project Repository, http://deploy-eprints.ecs.soton.ac.uk/82/
  16. 16.
    Iliasov, A.: Refinement Patterns for Rapid Development of Dependable Systems. In: EFTS. ACM Press (2007)Google Scholar
  17. 17.
    Iliasov, A.: Design Components. PhD thesis, University of Newcastle (2008)Google Scholar
  18. 18.
    Ireland, A.: The Use of Planning Critics in Mechanizing Inductive Proofs. In: Voronkov, A. (ed.) LPAR 1992. LNCS, vol. 624, pp. 178–189. Springer, Heidelberg (1992)CrossRefGoogle Scholar
  19. 19.
    Ireland, A., Grov, G., Butler, M.: Reasoned Modelling Critics: Turning Failed Proofs into Modelling Guidance. In: Frappier, M., Glässer, U., Khurshid, S., Laleau, R., Reeves, S. (eds.) ABZ 2010. LNCS, vol. 5977, pp. 189–202. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  20. 20.
    Ireland, A., Grov, G., Llano, M., Butler, M.: Reasoned modelling critics: turning failed proofs into modelling guidance. In: Science of Computer Programming. Elsevier (2011) (in Press)Google Scholar
  21. 21.
    Jones, C.B.: Systematic Software Development using VDM. Prentice Hall (1990)Google Scholar
  22. 22.
    Leuschel, M., Butler, M.: ProB: A Model Checker for B. In: Araki, K., Gnesi, S., Mandrioli, D. (eds.) FME 2003. LNCS, vol. 2805, pp. 855–874. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  23. 23.
    Llano, M., Grov, G., Ireland, A.: Automatic guidance for refinement based formal methods. In: AFM Workshop (2010)Google Scholar
  24. 24.
    Llano, M.T., Ireland, A., Pease, A.: Discovery of invariants through automated theory formation. In: Refine Workshop. EPTCS, vol. 55 (2011)Google Scholar
  25. 25.
    Morgan, C.: Programming from Specifications. Prentice–Hall (1990)Google Scholar
  26. 26.
    Requet, A.: BART: A Tool for Automatic Refinement. In: Börger, E., Butler, M., Bowen, J.P., Boca, P. (eds.) ABZ 2008. LNCS, vol. 5238, pp. 345–345. Springer, Heidelberg (2008)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gudmund Grov
    • 1
  • Andrew Ireland
    • 2
  • Maria Teresa Llano
    • 2
  1. 1.School of InformaticsUniversity of EdinburghEdinburghUK
  2. 2.Heriot-Watt University, MACSEdinburghUK

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