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Mathematics / Ergodic theory / Ramsey theory / Semigroup theory / Lemmas / Combinatorics / Piecewise syndetic set / Partition regularity / Syndetic set / Diagonal lemma / IP set / BanachAlaoglu theorem


BROWN’S LEMMA IN SECOND-ORDER ARITHMETIC EMANUELE FRITTAION Abstract. We show that Brown’s lemma is equivalent to IΣ02 over RCA∗0 . We also show that (the infinite) van der Waerden’s theorem is equivalent to BΣ
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Document Date: 2016-02-20 21:08:30


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