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Well formed programs optimal with respect to structural complexity

  • Giorgio De Michelis
  • Carla Simone
Grundlagen Der Programmierung
Part of the Lecture Notes in Computer Science book series (LNCS, volume 34)

Abstract

A measure of the complicacy of a program can be given considering the minimum number of exits of iterative blocks needed in order to write a program strongly equivalent to the given one.

On the basis of such intuitive notion we introduce in the paper a measure of the "structural complexity" of programs.

This complexity for arbitrary programs can be evaluated by constructing suitable well formed programs. The definition of well formedness is presented and it is shown to be a modification of the one given by Peterson, Kasami and Tokura. On the basis of the above definitions we present an algorithm to construct well formed programs and we prove that the notion of well formedness introduced is well founded.

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5) References

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    W.W. Peterson, T.Kasami and Tokura, "On the capabilities of while, repeat and exit statements", Comm. ACM (1973).Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • Giorgio De Michelis
    • 1
  • Carla Simone
    • 1
  1. 1.Gruppo di Elettronica e Cibernetica, Istituto di FisicaUniversità di MilanoMilano

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