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RT22 does not imply WKL0

Published online by Cambridge University Press:  12 March 2014

Jiayi Liu
Jiayi Liu*
Affiliation:
Department of Mathematics, Central South University, South Campus, South Dormitory No. 6 Room 619, Changsha, 410083, China, E-mail: g.jiayi.liu@gmail.com
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Abstract

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We prove that by showing that for any set C not of PA-degree and any set A, there exists an infinite subset G of A or such that G ⊕ C is also not of PA-degree.

Keywords

recursion theorycomputability theoryreverse mathematicsRamsey's theoremweak Konig lemmaMathias forcing
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 2 , June 2012 , pp. 609 - 620
Copyright
Copyright © Association for Symbolic Logic 2012

References

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