A fully abstract bidomain model of unary FPC

  • Authors:
  • Jim Laird

  • Affiliations:
  • COGS, University of Sussex, UK

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

Quantified Score

Hi-index 0.00

Visualization

Abstract

We present a fully abstract and effectively presentable model of unary FPC (a version of FPC with lifting rather than lifted sums) in a category of bicpos and continuous and stable functions. We show universality for the corresponding model of unary PCF, and then show that this implies full abstraction for unary FPC. We use a translation into this metalanguage to show that the "canonical" bidomain model of the lazy λ-calculus (with seqential convergence testing) is fully abstract.