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arxiv: 1602.07769 · v2 · pith:DLEFK57Qnew · submitted 2016-02-25 · 🧮 math.LO

Adjacent Ramsey theory and Higman's lemma

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keywords higmanlemmaadjacentprooframseyalternativeboundfriedman
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We show a short proof of Higman's lemma using Friedman's adjacent Ramsey theorem for pairs. This provides an alternative proof of the known upper bound for the reverse mathematical status of Higman's lemma and that of its miniaturised version.

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