A sound and complete CPS-translation for λµ-calculus

  • Authors:
  • Ken-Etsu Fujita

  • Affiliations:
  • Department of Mathematics and Computer Science, Shimane University, Matsue, Japan

  • Venue:
  • TLCA'03 Proceedings of the 6th international conference on Typed lambda calculi and applications
  • Year:
  • 2003

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Abstract

We investigate injectivity of the novel CPS-translation with surjective pairing which is originally introduced by Hofmann-Streicher. It is syntactically proved that the CPS-translation is sound and complete not only for the λ-calculus but also for the extensional λµ-calculus. The injective CPS-translation reveals a Church-Rosser fragment of the λ-calculus with surjective pairing and a neat connection to C-monoids.