Reverse mathematics and a Ramsey-type König's Lemma

Details Reverse mathematics and a Ramsey-type König's Lemma Reverse mathematics and a Ramsey-type König's Lemma

2011-11-10

arxiv.org/abs/1111.2526v2

Mathematics

Logic

8 pages, 1 figure. This version includes a number of small expository changes. More significantly, Yokoyama Keita answered a q

Scientific paper

In this paper, we propose a weak regularity principle which is similar to
both weak K\"onig's lemma and Ramsey's theorem. We begin by studying the
computational strength of this principle in the context of reverse mathematics.
We then analyze different ways of generalizing this principle.

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