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On Recursive Free Types in Z

  • Conference paper
Z User Workshop, York 1991

Part of the book series: Workshops in Computing ((WORKSHOPS COMP.))

Abstract

Inconsistent specifications may give rise to false conclusions in reasoning, thus destroying the point of having a specification. This report is concerned with inconsistent specifications which may arise when using the formal specification language Z. In particular, the report is concerned with the inconsistencies that can arise when using recursive free types, and recursive functions defined over recursive free types. The intended audience of the report consists of Z practitioners who wish to avoid writing meaningless specifications.

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References

  1. The HOL System (Description), SRI International, Cambridge Research Centre, December 1989.

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  2. T. F. Melham, “Automating Recursive Type Definitions in Higher Order Logic”, in Current Trends in Hardware Verification and Automated Theorem Proving, edited by G. Birtwistle and P.A. Subrahmanyam (Springer-Verlag, 1989), pp. 341–386.

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  3. J. M. Spivey, The Z Notation, Prentice Hall International, 1989.

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  4. J. M. Spivey, Understanding Z, Cambridge University Press, 1988.

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  5. J.M. Spivey, “Free Type Definitions”, in Proceedings of the Third Annual Z Users Meeting, Oxford University Computing Laboratory, Programming Research group, December 1988.

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  6. R. D. Arthan, On Free Type Definitions in Z, Issue 1.7, ICL Defence Systems, ref DS/FMU/IED/WRK/016, April 1991.

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Author information

Authors and Affiliations

  1. DRA Malvern, St. Andrews Road, Great Malvern, Worcs, WR14 3PS, UK

    Alf Smith

Authors
  1. Alf Smith
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Editor information

Editors and Affiliations

  1. Programming Research Group, Oxford University Computing Laboratory, 8-11 Keble Road, Oxford, 0X1 3QD, UK

    J. E. Nicholls MA

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© 1991 British Crown Copyright

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Smith, A. (1991). On Recursive Free Types in Z. In: Nicholls, J.E. (eds) Z User Workshop, York 1991. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3203-5_1

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  • DOI: https://doi.org/10.1007/978-1-4471-3203-5_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19780-5

  • Online ISBN: 978-1-4471-3203-5

  • eBook Packages: Springer Book Archive

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