Derivatives of normal functions and $$\omega $$ ω -models-Reference-Cited by-同舟云学术

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Derivatives of normal functions and $$\omega $$ ω -models

Published:2017-11-15 Issue:5-6 Volume:57 Page:649-664
ISSN:0933-5846
Container-title:Archive for Mathematical Logic
language:en
Short-container-title:Arch. Math. Logic

Author:

Arai Toshiyasu

Publisher

Springer Science and Business Media LLC

Subject

Logic,Philosophy

Link

http://link.springer.com/article/10.1007/s00153-017-0600-5/fulltext.html

Reference12 articles.

1. Afshari, B., Rathjen, M.: Reverse mathematics and well-ordering principles: a pilot study. Ann. Pure Appl. Log. 160, 231–237 (2009)

2. Arai, T.: Some results on cut-elimination, provable well-orderings, induction and reflection. Ann. Pure Appl. Log. 95, 93–184 (1998)

3. Feferman, S.: Systems of predicative analysis II: representations of ordinals. J. Symb. Log. 33, 193–220 (1968)

4. Girard, J.-Y.: Proof Theory and Logical Complexity, vol. 1. Bibliopolis, Napoli (1987)

5. Hirst, J.L.: Reverse mathematics and ordinal exponentiation. Ann. Pure Appl. Logic 66, 1–18 (1994)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Derivatives of normal functions in reverse mathematics;Annals of Pure and Applied Logic;2021-02

2. Iterations;Ordinal Analysis with an Introduction to Proof Theory;2020

3. Proof-theoretic strengths of the well-ordering principles;Archive for Mathematical Logic;2019-07-30

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