A uniform approach for characterizing the provably total number-theoretic functions of KPM and (some of) its subsystems
Studia Logica 62 (3):399-427 (1999)
| Abstract | In this article we show how to extract with the use of the Buchholz-Cichon-Weiermann approach to subrecursive hierarchies from Rathjen's 1991 ordinal analysis of KPM a characterization of the provably total number-theoretic functions of KPM and some of its (most prominent) subsystems in a uniform and direct way. | |||||||||
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Toshiyasu Arai (1998). Variations on a Theme by Weiermann. Journal of Symbolic Logic 63 (3):897-925.
Andreas Weiermann (1996). How to Characterize Provably Total Functions by Local Predicativity. Journal of Symbolic Logic 61 (1):52-69.
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