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Finitary Treatment of Operator Controlled Derivations
Mathematical Logic Quarterly 47 (3):363-396 (2001)
Abstract
By combining the methods of two former papers of ours we develop a finitary ordinal analysis of the axiom system KPi of Kripke-P atek set theory with an inaccessible universe. As a main result we obtain an upper bound for the provably recursive functions of KPi.Other Versions
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2013-11-03
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Citations of this work
Lifting proof theory to the countable ordinals: Zermelo-Fraenkel set theory.Toshiyasu Arai - 2014 - Journal of Symbolic Logic 79 (2):325-354.
A Buchholz Derivation System for the Ordinal Analysis of KP + Π₃-Reflection.Markus Michelbrink - 2006 - Journal of Symbolic Logic 71 (4):1237 - 1283.
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