An Implementation of Type: Type

  • Authors:
  • Thierry Coquand;Makoto Takeyama

  • Affiliations:
  • -;-

  • Venue:
  • TYPES '00 Selected papers from the International Workshop on Types for Proofs and Programs
  • Year:
  • 2000

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Abstract

We present a denotational semantics of a type system with dependent types, where types are interpreted as finitary projections. We prove then the correctness of a type-checking algorithm w.r.t. this semantics. In this way, we can justify some simple optimisation in this algorithm. We then sketch how to extend this semantics to allow a simple record mechanism with manifest fields.