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.
@article{1232375162,
author = {Gaspar, Jaime},
title = {Factorization of the Shoenfield-like Bounded Functional Interpretation},
journal = {Notre Dame J. Formal Logic},
volume = {50},
number = {1},
year = {2009},
pages = { 53-60},
language = {en},
url = {http://dml.mathdoc.fr/item/1232375162}
}
Gaspar, Jaime. Factorization of the Shoenfield-like Bounded Functional Interpretation. Notre Dame J. Formal Logic, Tome 50 (2009) no. 1, pp. 53-60. http://gdmltest.u-ga.fr/item/1232375162/