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University of Connecticut

Doctoral Dissertations

Theses/Dissertations

Mathematics

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Effective Techniques In Reverse Mathematics, David Nichols Apr 2019

Effective Techniques In Reverse Mathematics, David Nichols

Doctoral Dissertations

We develop the theory of strong reductions in the reverse mathematics zoo and show by means of novel tree labeling constructions that strong computable reduction is sufficient to separate four stable relatives of Ramsey's theorem for 2-colorings of pairs.