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Usability: formalising (un)definedness in typed lambda calculus

  • Jan Kuper
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 933)

Abstract

In this paper we discuss usability, and propose to take that notion as a formalisation of (un)definedness in typed lambda calculus, especially in calculi based on PCF. We discuss some important properties that make usability attractive as a formalisation of (un)definedness. There is a remarkable difference between usability and solvability: in the untyped lambda calculus the solvable terms are precisely the terms with a head normal form, whereas in typed lambda calculus the usable terms are “between” the terms with a normal form and the terms with a (weak) head normal form.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Jan Kuper
    • 1
  1. 1.Department of Computer ScienceUniversity of TwenteAE EnschedeThe Netherlands

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