arXiv Open Access 2017

Strong Reductions between Relatives of the Stable Ramsey's Theorem

David Nichols

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Abstrak

A complete analysis is given of the computable reductions that hold between $\mathsf{SRT}^2_2$, $\mathsf{SPT}^2_2$, and $\mathsf{SIPT}^2_2$. In particular, while $\mathsf{D}^2_2\le_{\rm sW}\mathsf{SIPT}^2_2\le_{\rm sW}\mathsf{SPT}^2_2\le_{\rm sW}\mathsf{SRT}^2_2$, it is shown that $\mathsf{SRT}^2_2\not\le_{\rm sc}\mathsf{SPT}^2_2\not\le_{\rm sc}\mathsf{SIPT}^2_2\not\le_{\rm sc}\mathsf{D}^2_2$.

Topik & Kata Kunci

math.LO

Penulis (1)

David Nichols

Format Sitasi

APA MLA BibTeX

Nichols, D. (2017). Strong Reductions between Relatives of the Stable Ramsey's Theorem. https://arxiv.org/abs/1711.06532

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓