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pro vyhledávání: '"Reitzes, Sarah C."'
In this paper we examine the reverse mathematical strength of a variation of Hindman's Theorem HT constructed by essentially combining HT with the Thin Set Theorem TS to obtain a principle which we call thin-HT. thin-HT says that every coloring $c: \
Externí odkaz:
http://arxiv.org/abs/2203.08658
Hirschfeldt and Jockusch (2016) introduced a two-player game in which winning strategies for one or the other player precisely correspond to implications and non-implications between $\Pi^1_2$ principles over $\omega$-models of $\mathsf{RCA}_0$. They
Externí odkaz:
http://arxiv.org/abs/2008.00907
Publikováno v:
Journal of Mathematical Logic. 22
Hirschfeldt and Jockusch (2016) introduced a two-player game in which winning strategies for one or the other player precisely correspond to implications and non-implications between $\Pi^1_2$ principles over $\omega$-models of $\mathsf{RCA}_0$. They