Factorization of the Shoenfield-like bounded functional interpretation
arXiv:1009.1868 · doi:10.1215/00294527-2008-027
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 Gödel 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.