Factorization of the Shoenfield-like bounded functional interpretation

Mathematics – Logic

Scientific paper

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Scientific paper

10.1215/00294527-2008-027

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.

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