paper

Recursive axiomatizations for representable posets

arXiv:1806.08328 · doi:10.1142/S021819671950022X

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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