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A note on abstract interpretation of polymorphic functions

  • Gebreselassie Baraki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 523)

Abstract

Strictness analysis of monomorphic functional programs by abstract interpretation has been extensively studied. Abramsky's work describes the extension to polymorphic functions. However, if different instances of a polymorphic function are used in a program, we have to re-analyse to compute abstract functions at each instance used. In the first-order case, Hughes showed how to compute the needed abstract functions without re-analysis. In this paper we develop a method of computing safe approximations to abstract functions of higher-order functions. The approximations are computed from abstract functions of simple instances of polymorphic functions. In the first-order case, the method gives exact values.

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References

  1. [Abramsky 85]
    S. Abramsky. Strictness Analysis and Polymorphic Invariance. In Programs as Data Objects, LNCS 217, 1985.Google Scholar
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    S. Abramsky and C.L. Hankin (eds). Abstract Interpretation of Declarative Languages. Ellis-Horwood, 1987.Google Scholar
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    S. Abramsky. Notes on Strictness Analysis for Polymorphic Functions. Draft paper, 1988.Google Scholar
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    P. Wadler. Strictness Analysis on Non-Flat Domains by Abstract Interpretation. In [AH 87].Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Gebreselassie Baraki
    • 1
  1. 1.Computing Science DepartmentUniversity of GlasgowGlasgowScotland

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