Article ID Journal Published Year Pages File Type
6424814 Annals of Pure and Applied Logic 2012 13 Pages PDF
Abstract

Relying on the extension of the bounded functional interpretation to bar recursive functionals of finite type, we prove that the scheme of bar induction has a bounded functional interpretation via bar recursors. As a consequence, the axiom of dependent choices also has a bounded functional interpretation.

Related Topics
Physical Sciences and Engineering Mathematics Logic
Authors
,