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Calculational derivation of a counter with bounded response time and bounded power dissipation

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Summary

A counter is calculationally designed by applying a functional way of programming, in which a machine is conceived as a function from states to behaviours. The design exploits the fine-grained concurrency available in VLSI. It is obtained by applying a series of correctness-preserving transformations on an initial design, which satisfies the functional specification but does not meet the cost/performance requirements. The transformations are purely calculational, i.e. they are based on a few simple axioms. The design is generic in that it describes counters with all possible periods. An attractive property of the design is that all these counters have the same response time as well as the same power dissipation.

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References

  1. van Berkel CH, Kessels JLW, Roncken ME, Saeijs RWJJ, Schalij FP: The VLSI-programming language Tangram and its translation into handshake circuits. Proc Eur Conf on Design Automation, Amsterdam 1991, pp 384–389

  2. van Berkel CH: VLSI programming of a modulo-N counter with constant response time and constant power. Proc Working Conference on Asynchronous Design Methodologies, Manchester 1993

  3. Dijkstra EW: A discipline of programming. Series in Automatic Computation, Prentice-Hall, Englewood Cliffs, NY 1976

    Google Scholar 

  4. Dijkstra EW, Scholten CS: Predicate calculus and program semantics. Texts and Monographs in Computer Science, Springer, Berlin Heidelberg, New York, 1989

    Google Scholar 

  5. Ebergen JC, Peeters AMG: Modulo-N counters: design and analysis of delay insensitive circuits. Proc 2nd Workshop on Designing Correct Circuits, Lyngby 1992, pp 27–46

  6. Hennessy M: Algebraic theory of processes. Series in the Foundation of Computing. MIT Press, Cambridge Massachusetts, 1988

    Google Scholar 

  7. Hoare CAR: Communicating sequential processes Commun ACM 21:666–677 (1978)

    Google Scholar 

  8. Hoare CAR: Communicating sequential processes. Series in Computer Science. Prentice-Hall, Englewood Cliffs, NY 1985

    Google Scholar 

  9. Hoare CAR et al.: Laws of programming. Commun ACM 30: 672–686 (1987)

    Google Scholar 

  10. Josephs MB, Udding JT: Implementing a stack as a delay-insensitive-circuit. Proc Working Conference on Asynchronous Design Methodologies, Manchester 1993

  11. Kessels JLW, Rem M: Designing systolic, distributed buffers with bounded response time. Distrib Comput 4: 37–43 (1990)

    Google Scholar 

  12. Kessels JLW: The systematic design of a systolic RSA converter. Proc Workshop on Correct Hardware Design Methodologies, Turin. Elsevier, Amsterdam New York 1991, pp 235–251

    Google Scholar 

  13. Kessels JLW: Designing counters with bounded response time. CS Scholten dedicata: van oude machines en nieuwe rekenwijzen. Academic Service, Schoonhoven, The Netherlands 1991, pp 127–140

    Google Scholar 

  14. Martin AJ: Compiling communicating processes into delay-insensitive VLSI circuits. Distrib Comput 1: 226–234 (1986)

    Google Scholar 

  15. Milner R: A calculus of communicating systems. Lect Notes Comput Sci, Vol 92. Springer, Berlin Heidelberg New York 1980

    Google Scholar 

  16. Rem M: Trace theory and systolic computations. Proc Conf Parallel Architectures and Languages Europe (Parle), Eindhoven, The Netherlands. Lect Notes Comput Sci, Vol 258. Springer, Berlin Heidelberg New York 1987, pp 14–33

    Google Scholar 

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Joep Kessels is a senior scientist at Philips Research Laboratories. He was involved in projects on applicative programming, distributed processing and local area networks. Currently he is engaged in a project on designing asynchronous VLSI circuits. His main research interests are design methodology and distributed processing.

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Kessels, J.L.W. Calculational derivation of a counter with bounded response time and bounded power dissipation. Distrib Comput 8, 143–149 (1995). https://doi.org/10.1007/BF02242716

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