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arXiv · 1711.08704

The strength of Ramsey's theorem for pairs and arbitrarily many colors

Theodore A. Slaman·Keita Yokoyama
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Abstract

In this paper, we show that $\mathrm{RT}^{2}+\mathsf{WKL}_0$ is a $Π^{1}_{1}$-conservative extension of $\mathrm{B}Σ^0_3$.

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Theodore A. Slaman, Keita Yokoyama. 2018-07-05. The strength of Ramsey's theorem for pairs and arbitrarily many colors. https://arxiv.org/abs/1711.08704

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