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Reverse mathematics and a Ramsey-type König's Lemma

Published online by Cambridge University Press:  12 March 2014

Stephen Flood
Stephen Flood*
Affiliation:
Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556, USA, E-mail: sflood@nd.edu
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Abstract

In this paper, we propose a weak regularity principle which is similar to both weak König's lemma and Ramsey's theorem. We begin by studying the computational strength of this principle in the context of reverse mathematics. We then analyze different ways of generalizing this principle.

Keywords

Ramsey's theoremweak König's lemmareverse mathematics

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 4 , December 2012 , pp. 1272 - 1280
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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