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Case Study: A Digital and Analogue Watch

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Refinement in Z and Object-Z

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Abstract

This chapter exemplifies the techniques from Chaps. 9–12 in an extended case study. It describes a variety of specifications and implementations of a digital watch, and how their validity is founded on the new notions of refinement defined earlier.

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Notes

  1. 1.

    The construction here appears to be some kind of product of ADTs, which has monotonicity properties with respect to refinement.

  2. 2.

    Specifications with unbounded numbers in them are not directly implementable on real computers which have bounded storage. Different approaches to addressing this are given in Sect. 14.4 and the bibliographical notes of Chap. 14.

References

  1. Araki, K., Galloway, A., & Taguchi, K. (Eds.) (1999). International Conference on Integrated Formal Methods 1999 (IFM’99). York: Springer.

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  2. Lynch, N. A., & Vaandrager, F. (1992). Forward and backward simulations for timing-based systems. In J. W. de Bakker, W.-P. de Roever, C. Huizing, & G. Rozenberg (Eds.), Real-Time: Theory in Practice, REX Workshop, Mook, The Netherlands, June 1991. Lecture Notes in Computer Science: Vol. 600 (pp. 397–446). Berlin: Springer.

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  3. Schneider, S. (2000). Concurrent and Real-Time Systems: the CSP Approach. New York: Wiley.

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  4. Smith, G., & Hayes, I. J. (1999) Towards real-time Object-Z. In Araki et al. [1] (pp. 49–65).

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Authors and Affiliations

  1. Department of Computer Science, University of Sheffield, Sheffield, UK

    John Derrick

  2. School of Computing, University of Kent, Canterbury, UK

    Eerke A. Boiten

Authors
  1. John Derrick
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  2. Eerke A. Boiten
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© 2014 Springer-Verlag London

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Derrick, J., Boiten, E.A. (2014). Case Study: A Digital and Analogue Watch. In: Refinement in Z and Object-Z. Springer, London. https://doi.org/10.1007/978-1-4471-5355-9_13

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  • DOI: https://doi.org/10.1007/978-1-4471-5355-9_13

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5354-2

  • Online ISBN: 978-1-4471-5355-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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