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

Autor: Slaman, Theodore A., Yokoyama, Keita
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we show that $\mathrm{RT}^{2}+\mathsf{WKL}_0$ is a $\Pi^{1}_{1}$-conservative extension of $\mathrm{B}\Sigma^0_3$.
Comment: 9 pages
Databáze: arXiv