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A comparison of two systems of ordinal notations

A comparison of two systems of ordinal notations The standard method of generating countable ordinals from uncountable ordinals can be replaced by a use of fixed point extractors available in the term calculus of Howard’s system. This gives a notion of the intrinsic complexity of an ordinal analogous to the intrinsic complexity of a function described in Gödel’s T. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

A comparison of two systems of ordinal notations

Archive for Mathematical Logic , Volume 43 (1) – Aug 6, 2003

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-003-0177-z
Publisher site
See Article on Publisher Site

Abstract

The standard method of generating countable ordinals from uncountable ordinals can be replaced by a use of fixed point extractors available in the term calculus of Howard’s system. This gives a notion of the intrinsic complexity of an ordinal analogous to the intrinsic complexity of a function described in Gödel’s T.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Aug 6, 2003

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