Polymorphism is not set-theoretic

  • John C. Reynolds
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 173)


The polymorphic, or second-order, typed lambda calculus is an extension of the typed lambda calculus in which polymorphic functions can be defined. In this paper, we will prove that the standard set-theoretic model of the ordinary typed lambda calculus cannot be extended to model this language extension.


Ordinary Variable Type Expression Language Extension Cartesian Closed Category Lambda Expression 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • John C. Reynolds
    • 1
    • 2
  1. 1.INRIA Centre de Sophia AntipolisValbonneFrance
  2. 2.Syracuse UniversitySyracuseU.S.A.

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