English

On Statman's Finite Completeness Theorem

Logic in Computer Science 2023-09-08 v1

Abstract

We give a complete self-contained proof of Statman's finite completeness theorem and of a corollary of this theorem stating that the λ\lambda-definability conjecture implies the higher-order matching conjecture.

Keywords

Cite

@article{arxiv.2309.03602,
  title  = {On Statman's Finite Completeness Theorem},
  author = {Richard Statman and Gilles Dowek},
  journal= {arXiv preprint arXiv:2309.03602},
  year   = {2023}
}
R2 v1 2026-06-28T12:15:09.228Z