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Mathematical Logic Quarterly
Article . 1998 . Peer-reviewed
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Reverse Mathematics and Ordinal Multiplication

Reverse mathematics and ordinal multiplication
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1998 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 44, pages 459-464 (issn: 0942-5616, eissn: 1521-3870, Copyright policy )
Authors: Jeffry L. Hirst;

doi: 10.1002/malq.19980440404

Reverse Mathematics and Ordinal Multiplication

Abstract

AbstractThis paper uses the framework of reverse mathematics to analyze the proof theoretic content of several statements concerning multiplication of countable well‐orderings. In particular, a division algorithm for ordinal arithmetic is shown to be equivalent to the subsystem ATR0.

Related Organizations
Keywords

division algorithm, Ordinal and cardinal numbers, ordinal arithmetic, ordinal multiplication, reverse mathematics, Second- and higher-order arithmetic and fragments

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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