English

A constructive proof of Skolem theorem for constructive logic

Logic in Computer Science 2023-05-18 v1

Abstract

If the sequent (Gamma entails forall x exists y A) is provable in first order constructive natural deduction, then the theory (Gamma, forall x (f (x)/y)A), where f is a new function symbol, is a conservative extension of Gamma.

Keywords

Cite

@article{arxiv.2305.10016,
  title  = {A constructive proof of Skolem theorem for constructive logic},
  author = {Gilles Dowek and Benjamin Werner},
  journal= {arXiv preprint arXiv:2305.10016},
  year   = {2023}
}
R2 v1 2026-06-28T10:36:47.757Z