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Strongly majorizable functionals of finite type: A model for barrecursion containing discontinuous functionals
Journal of Symbolic Logic 50 (3):652-660 (1985)
Abstract
In this paper a model for barrecursion is presented. It has as a novelty that it contains discontinuous functionals. The model is based on a concept called strong majorizability. This concept is a modification of Howard's majorizability notion; see [T, p. 456]Other Versions
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Citations of this work
Bounded functional interpretation.Fernando Ferreira & Paulo Oliva - 2005 - Annals of Pure and Applied Logic 135 (1):73-112.
Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals.Ulrich Kohlenbach - 1996 - Archive for Mathematical Logic 36 (1):31-71.
Pointwise hereditary majorization and some applications.Ulrich Kohlenbach - 1992 - Archive for Mathematical Logic 31 (4):227-241.
Nonstandardness and the bounded functional interpretation.Fernando Ferreira & Jaime Gaspar - 2015 - Annals of Pure and Applied Logic 166 (6):701-712.
Injecting uniformities into Peano arithmetic.Fernando Ferreira - 2009 - Annals of Pure and Applied Logic 157 (2-3):122-129.
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