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Categories for the working hardware designer

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Hardware Specification, Verification and Synthesis: Mathematical Aspects

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 408))

Abstract

We show how standard results from category theory can be used to derive useful theorems about a hardware description language. The theorems correspond to behaviour preserving circuit transformations. We also show how a categorical viewpoint can help in the design of a formally based hardware description language. All necessary category theory is introduced.

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References

  1. R.J.M. Hughes, Projections for Polymorphic Strictness Analysis, Proc. Int. Conf. on Category Theory in Computer Science, Manchester, Springer-Verlag, 1989.

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  2. G. Jones, Fast Fourier transform by program transformation of the discrete Fourier transform, (submitted for publication).

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  3. G. Jones & M. Sheeran, Timeless Truths about Sequential Circuits, Chapter 14 in S.K. Tewksbury et al (eds.) Concurrent Computations: Algorithms, Architecture and Technology, Plenum Press, 1988.

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  4. C.E. Leiserson & J.B. Saxe, Retiming Synchronous Circuitry, Tech. Report 13, Digital Systems Research Center, Palo Alto, California 94301, 1986.

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  5. M. Sheeran, Retiming and Slowdown in Ruby, in G. Milne (ed.) The Fusion of Hardware Design and Verification, North-Holland, 1988.

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  6. M. Sheeran, Describing Hardware Algorithms in Ruby, to appear in Proc. IFIP WG10.1 Int. Workshop on Concepts and Characteristics of Declarative Systems, North-Holland, 1989.

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  7. P.L. Wadler, Theorems for Free!, to appear in Proc. Int. Conf. on Functional Programming Languages and Computer Architecture, London, Springer-Verlag, 1989.

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Author information

Authors and Affiliations

  1. Computing Science Dept., Glasgow University, G12 8QQ, Glasgow, Scotland

    Mary Sheeran

Authors
  1. Mary Sheeran
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Editor information

Miriam Leeser Geoffrey Brown

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© 1990 Springer-Verlag Berlin Heidelberg

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Sheeran, M. (1990). Categories for the working hardware designer. In: Leeser, M., Brown, G. (eds) Hardware Specification, Verification and Synthesis: Mathematical Aspects. Lecture Notes in Computer Science, vol 408. Springer, New York, NY. https://doi.org/10.1007/0-387-97226-9_38

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  • DOI: https://doi.org/10.1007/0-387-97226-9_38

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97226-8

  • Online ISBN: 978-0-387-34801-8

  • eBook Packages: Springer Book Archive

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