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A note on the ordinal analysis of KPM

Published online by Cambridge University Press:  24 March 2017

By
Wilfried Buchholz
Edited by
Juha Oikkonen  and
Jouko Väänänen
Wilfried Buchholz
Affiliation:
Mathematisches Institut der Universität München
Juha Oikkonen
Affiliation:
University of Helsinki
Jouko Väänänen
Affiliation:
University of Helsinki
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Chapter
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Logic Colloquium '90 , pp. 1 - 9
Publisher: Cambridge University Press
Print publication year: 2017

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References

Buchholz, Buchholz. A new system of proof-theoretic ordinal functions . Annals of Pure and Applied Logic , vol. 32 (1986), pp. 195–207.Google Scholar
Buchholz, Buchholz. A simplified version of local predicativity . In: Aczel, P., Simmons, H., Wainer, S. (eds.), Proof Theory , Cambridge University Press, 1993.
Buchholz, W., and Schütte, K. Ein Ordinalzahlsystem für die beweistheoretische Abgrenzung der Σ1 1-Separation und Bar-Induktion . Sitzungsberichte der Bayerischen Akademie der Wissenschaften , Mathematisch-Naturwissenschaftliche Klasse (1983).Google Scholar
Jäger, G. ρ-inaccessible ordinals, collapsing functions and a recursive notation system . Archiv für mathematische Logik und Grundlagenforschung , vol. 24 (1984), pp. 49–62.Google Scholar
Rathjen, Rathjen. Ordinal notations based on a weakly Mahlo cardinal . Archiv für mathematische Logik und Grundlagenforschung , vol. 29 (1990), pp. 249–263.Google Scholar
Rathjen, Rathjen. Proof-theoretic analysis of KPM . Archiv für mathematische Logik und Grundlagenforschung , vol. 30 (1991), pp. 377–403.Google Scholar

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