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Designing arithmetic circuits by refinement in Ruby

  • Geraint Jones
  • Mary Sheeran
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 669)

Abstract

This paper presents in some detail the systematic derivation of a static bit-level parallel algorithm to implement multiplication of integers, that is to say one which might be implemented as an electronic circuit. The circuit is well known, but the derivation shows that its design can be seen as the consequence of decisions made (and explained) in terms of the abstract algorithm. The systematic derivation serves both as an explanation of the circuit, and as a demonstration that it is correct ‘by construction’. We believe that the technique is applicable to a wide range of similar algorithms.

Keywords

Representation Changer Binary Number Parallel Composition Functional Programming Full Adder 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Geraint Jones
    • 1
  • Mary Sheeran
    • 2
  1. 1.Programming Research GroupOxford University Computing LaboratoryOxfordEngland
  2. 2.InformationsbehandlingChalmers Tekniska HögskolaGöteborgSweden

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