Games and Definability for System F

  • Authors:
  • Dominic James Doran Hughes

  • Affiliations:
  • -

  • Venue:
  • LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 1997

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Abstract

We develop a game-theoretic model of the polymorphic lambda-calculus, system F, as a fibred category \mathbb{F}. Our main result is that every morphism \sigma of the model defines a normal form s_\sigma of system F, whose interpretation is \sigma. Thus the model give a precise, non-syntactic account of the calculus.