Proof-theoretic strengths of the well-ordering principles

Archive for Mathematical Logic:1-19 (forthcoming)

Abstract
In this note the proof-theoretic ordinal of the well-ordering principle for the normal functions \ on ordinals is shown to be equal to the least fixed point of \. Moreover corrections to the previous paper are made.
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DOI 10.1007/s00153-019-00689-4
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References found in this work BETA

Proof Theory.Gaisi Takeuti - 1990 - Studia Logica 49 (1):160-161.
Proof Theory and Logical Complexity.J. Y. Girard - 1991 - Annals of Pure and Applied Logic 53 (4):197.
Derivatives of Normal Functions and $$\Omega $$ Ω -Models.Toshiyasu Arai - 2018 - Archive for Mathematical Logic 57 (5-6):649-664.
The Veblen Functions for Computability Theorists.Alberto Marcone & Antonio Montalbán - 2011 - Journal of Symbolic Logic 76 (2):575 - 602.

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