RT₂² does not imply WKL₀

Journal of Symbolic Logic 77 (2):609-620 (2012)
Abstract
We prove that RCA₀ + RT $RT\begin{array}{*{20}{c}} 2 \\ 2 \\ \end{array} $ ̸͢ WKL₀ by showing that for any set C not of PA-degree and any set A, there exists an infinite subset G of A or ̅Α, such that G ⊕ C is also not of PA-degree
Keywords recursion theory   computability theory   reverse mathematics   Ramsey's theorem   weak Konig lemma   Mathias forcing
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DOI 10.2178/jsl/1333566640
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Cohesive Sets and Rainbows.Wei Wang - 2014 - Annals of Pure and Applied Logic 165 (2):389-408.
Reverse Mathematical Bounds for the Termination Theorem.Silvia Steila & Keita Yokoyama - 2016 - Annals of Pure and Applied Logic 167 (12):1213-1241.

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