English

Factorization of the Shoenfield-like bounded functional interpretation

Logic 2010-09-10 v1

Abstract

We adapt Streicher and Kohlenbach's proof of the factorization S = KD of the Shoenfield translation S in terms of Krivine's negative translation K and the G\"odel functional interpretation D, obtaining a proof of the factorization U = KB of Ferreira's Shoenfield-like bounded functional interpretation U in terms of K and Ferreira and Oliva's bounded functional interpretation B.

Cite

@article{arxiv.1009.1868,
  title  = {Factorization of the Shoenfield-like bounded functional interpretation},
  author = {Jaime Gaspar},
  journal= {arXiv preprint arXiv:1009.1868},
  year   = {2010}
}
R2 v1 2026-06-21T16:11:57.723Z