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On colorings of variable words

Published 4 Sep 2014 in math.CO | (1409.1471v1)

Abstract: In this note, we prove that the base case of the Graham--Rothschild Theorem, i.e., the one that considers colorings of the ($1$-dimensional) variable words, admits bounds in the class $\mathcal{E}5$ of Grzegorczyk's hierarchy.

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