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math.LO2015
Dickson's lemma and weak Ramsey theory
Yasuhiko Omata, Florian Pelupessy
We explore the connections between Dickson's lemma and weak Ramsey theory. We show that a weak version of the Paris--Harrington principle for pairs in colors and miniaturized D…
math.LO2015★ 2 cited
On "finitary" Ramsey's theorem
Florian Pelupessy
We examine a version of Ramsey's theorem based on Tao, Gaspar and Kohlenbach's "finitary" infinite pigeonhole principle.We will show that the "finitary" infinite Ramsey's theorem n…