The Thin Set Theorem for Pairs Implies DNR

Brian Rice

doi:10.1215/00294527-3153606

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Home > Journals > Notre Dame J. Formal Logic > Volume 56 > Issue 4 > Article

2015 The Thin Set Theorem for Pairs Implies DNR

Brian Rice

Notre Dame J. Formal Logic 56(4): 595-601 (2015). DOI: 10.1215/00294527-3153606

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Abstract

Answering a question in the reverse mathematics of combinatorial principles, we prove that the thin set theorem for pairs (TS(2)) implies the diagonally noncomputable set principle (DNR) over the base axiom system $\mathrm{RCA}_{0}$ .