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Extraction of Abstraction Invariants for Data Refinement

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ZB 2002:Formal Specification and Development in Z and B (ZB 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2272))

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Abstract

In this paper, we describe an approach to generating abstraction invariants for data refinement from specifications mixing B and CSP notations. A model-checker can be used to check automatically refinement of the CSP parts. However, we need to translate the CSP into B in order to verify data refinement of the whole specification. The Csp2B tool generates the B specification automatically from the CSP parts. Our proposal is to generate in addition the abstraction invariants, by analysing the labelled transition systems provided by a model-checker. The approach is illustrated with a case study in which a simple distributed information system is specified and two refinements are given, both of which have been fully verified using the proposed combination of model-checking with theorem proving (both automatic and interactive).

We acknowledge the support of the EPRSC (GR/M91013) for the ABCD project (http://www.dsse.ecs.soton.ac.uk/ABCD/).

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Authors and Affiliations

  1. Department of Electronics and Computer Science, University of Southampton, SO17 1BJ, Highfield Southampton, UK

    Marielle Doche & Andrew Gravell

Authors
  1. Marielle Doche
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  2. Andrew Gravell
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Editors and Affiliations

  1. Laboratoire LSR, IMAG, CNRS, 681,rue de la Passerelle, 38402, Saint Martin d’Hères Cedex, France

    Didier Bert

  2. SCISM, Centre for Applied Fromal Methods, SouthBank University, Borough Road, SE1 0AA, London, UK

    Jonathan P. Bowen

  3. Department of Computer Science, University of Essex, Wivenhoe Park, CO4 3SQ, Colchester, UK

    Martin C. Henson

  4. CAESER, The School of Computer Science and Engineering, The University of New South Wales, UNSW, 2052, Sydney, NSW, Australia

    Ken Robinson

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Doche, M., Gravell, A. (2002). Extraction of Abstraction Invariants for Data Refinement. In: Bert, D., Bowen, J.P., Henson, M.C., Robinson, K. (eds) ZB 2002:Formal Specification and Development in Z and B. ZB 2002. Lecture Notes in Computer Science, vol 2272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45648-1_7

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  • DOI: https://doi.org/10.1007/3-540-45648-1_7

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  • Print ISBN: 978-3-540-43166-4

  • Online ISBN: 978-3-540-45648-3

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