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Comparing models of the non-extensional typed λ-calculus extended abstract

  • R. Hoofman
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 813)

Abstract

In this paper we consider “powerset models” of the non-extensional typed lambda calculus. Although the interpretation of the type constructor ⇒ is in general not uniquely determined, we can make a canonical choice in this particular ase; there exists a minimal interpretation of ⇒ (with respect to a certain class of interpretations) which yields models with a maximal theory (in that class).

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References

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    Gunther, C. A., Comparing Categories of Domains, in: A. Melton (Ed.), Mathematical Foundations of Programming Semantics, Proceedings Int. Conference 1985, Lect. Notes in Comp. Sci., vol. 239, Springer-Verlag, Berlin, 1986, pp. 101–121.Google Scholar
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    Hayashi, S., Adjunction of Semifunctors: Categorical Structures in Non-Extensional Lambda-Calculus, Theor. Comput. Sci. 41 (1985), 95–104.Google Scholar
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    Hoofman, R., The Theory of Semi-Functors, Mathematical Structures in Computer Science, 3 (1993), 93–128.Google Scholar
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    Plotkin, G. D., Set-Theoretical and other Elementary Models of the λ-calculus, Theoretical Computer Science, 121 (1993), 351–409.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • R. Hoofman
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of AmsterdamThe Netherlands

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