Intersection and singleton type assignment characterizing finite Böhm-trees

  • Authors:
  • Toshihiko Kurata

  • Affiliations:
  • Department of Mathematics, Tokyo Metropolitan University, Minami-Osawa, Hachioji-shi, Tokyo, Japan

  • Venue:
  • Information and Computation
  • Year:
  • 2002

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Abstract

Intersection types and type constants representing unsolvability and singleton sets of λ-terms are incorporated into the Curry version of a simple type assignment system. Two restricted forms of typability in the system turn out to be equivalent to finiteness of Böhm-trees.