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Recursive axiomatizations for representable posets

Published 21 Jun 2018 in math.LO | (1806.08328v2)

Abstract: We use model theoretic techniques to construct explicit first-order axiomatizations for the classes of posets that can be represented as systems of sets, where the order relation is given by inclusion, and existing meets and joins of specified countable cardinalities correspond to intersections and unions respectively.

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