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Ordinal arithmetic with simultaneously defined theta-functions

✍ Scribed by Andreas Weiermann; Gunnar Wilken

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 187 KB
Volume: 57
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200910125

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✦ Synopsis

This article provides a detailed comparison between two systems of collapsing functions. These functions play a crucial role in proof theory, in the analysis of patterns of resemblance, and the analysis of maximal order types of well partial orders. The exact correspondence given here serves as a starting point for far reaching extensions of current results on patterns and well partial orders.

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