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Vereinfachte Kollabierungsfunktionen und ihre Anwendungen

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Summary

In this article we define a new and transparent concept of total collapsing functions for an ordinal notation system which is characteristic for the theory (Δ 12 -CA)+(BI). We show that our construction allows the application of Pohler's method of local predicativity as presented in [2] which yields a perspicious proof-theoretic analysis of (Δ 12 -CA)+(BI) being not much more complicated than for ID1.

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Literatur

  1. Buchholz, W., Schütte, K.: Ein Bezeichnungssystem für die beweistheoretische Abgrenzung der (Π 12 )-Separation und Bar-Induktion. Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse (1983)

  2. Jäger, G., Pohlers, W.: Eine beweistheoretische Untersuchung von (Δ 12 -CA)+(BI) und verwandter Systeme. Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse (1982)

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Authors and Affiliations

  1. Institut für Mathematische Logik und Grundlagenforschung, Westfälische Wilhelms-Universität Münster, Einsteinstrasse 62, W-4400, Münster, Federal Republic of Germany

    Andreas Weiermann

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  1. Andreas Weiermann
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Weiermann, A. Vereinfachte Kollabierungsfunktionen und ihre Anwendungen. Arch Math Logic 31, 85–94 (1991). https://doi.org/10.1007/BF01387761

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  • DOI: https://doi.org/10.1007/BF01387761

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