English

Recursive axiomatizations for representable posets

Logic 2019-02-01 v2

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.

Keywords

Cite

@article{arxiv.1806.08328,
  title  = {Recursive axiomatizations for representable posets},
  author = {Rob Egrot},
  journal= {arXiv preprint arXiv:1806.08328},
  year   = {2019}
}

Comments

Minor edits

R2 v1 2026-06-23T02:37:31.915Z