Advertisement

An Approach to Combining B and Alloy

  • Leonid Mikhailov
  • Michael Butler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2272)

Abstract

In this paper we propose to combine two software verification approaches, theorem proving and model checking. We focus on the B-method and a theorem proving tool associated with it, and the Alloy specification notation and its model checker “Alloy Constraint Analyser”. We consider how software development in B can be assisted using Alloy and how Alloy can be used for verifying refinement of abstract specifications. We demonstrate our approach with an example.

Keywords

B-method Alloy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.-R. Abrial. The B-Book: Assigning Programs to Meanings. Cambridge University Press, 1996.Google Scholar
  2. 2.
    B-Core (UK) Limited, Oxon, UK. B-Toolkit, On-line manual., 1999. Available at http://www.b-core.com/ONLINEDOC/Contents.html.
  3. 3.
    S. Bensalem, C. Muñoz, S. Owre, H. Rueß, J. Rushby, V. Rusu, H. Saïdi, N. Shankar, E. Singerman, and A. Tiwari. An overview of SAL. In C. M. Holloway, editor, LFM 2000: Fifth NASA Langley Formal Methods Workshop, pages 187–196, Hampton, VA, June 2000. NASA Langley Research Center.Google Scholar
  4. 4.
    J. C. Bicarregui and B. M. Matthews. Proof and refutation in formal software development. In 3rd Irish Workshop on Formal Software Development, http://www.ewic.org.uk, July 1999. British Computer Society, Electornic Workshops in Computing.
  5. 5.
    Formal Systems (Europe) Ltd. Failures-Divergence Refinement-FDR2 user manual, October 1997. Available at http://www.formal.demon.co.uk.
  6. 6.
    M. Gordon. Introduction to the HOL system. In M. Archer, J. J. Joyce, K. N. Levitt, and P. J. Windley, editors, Proceedigns of the International Workshop on the HOL Theorem Proving System and its Applications, pages 2–3, Los Alamitos, CA, USA, Aug. 1992. IEEE Computer Society Press.Google Scholar
  7. 7.
    G. J. Holzmann. The model checker spin. IEEE Trans. on Software Engineering, 23(5):279–295, May 1997.CrossRefMathSciNetGoogle Scholar
  8. 8.
    D. Jackson. Alloy: A lightweight object modelling notation. MIT Lab for Computer Science, July 2000.Google Scholar
  9. 9.
    D. Jackson, I. Schechter, and I. Shlyakhter. Alcoa: the alloy constraint analyser. In Proc. International Conference on Software Engineering, Limerick, Ireland, June 2000.Google Scholar
  10. 10.
    K. MacMillan. The SMV Language. Cadence Berkeley Labs, 1999.Google Scholar
  11. 11.
    K. L. McMillan. Symbolic Model Checking. Kluwer Academic Publishers, Norwell Massachusetts, 1993.Google Scholar
  12. 12.
    L. Mikhailov and M. Butler. Combining B and Alloy. In Proceedings of FMICS’2001, pages 29–45, Paris, July 2001. INRIA.Google Scholar
  13. 13.
    N. Shankar and J. M. Rushby. PVS Tutorial. Computer Science Laboratory, SRI International, Menlo Park, CA, Feb. 1993. Also appears in Tutorial Notes, Formal Methods Europe’ 93: Industrial-Strength Formal Methods, pages 357–406, Odense, Denmark, April 1993.Google Scholar
  14. 14.
    J. M. Spivey. The Z Notation: A Reference Manual. Prentice Hall, 1987.Google Scholar
  15. 16.
    M. Woodman and B. Heal. Introduction to VDM. McGraw-Hill, 1993. ISBN 0-07-707434-3.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Leonid Mikhailov
    • 1
  • Michael Butler
    • 1
  1. 1.Department of Electronics and Computer ScienceUniversity of Southampton, HighfieldSouthamptonUK

Personalised recommendations