{
  "abstract": "A first-order theory $T$ has the {\\em finite model property} if every first-order sentence that is implied by $T$ has a finite model. We give a characterization of when a complete $ω$-categorical theory $T$ has the finite model property. The characterization makes it possible to transfer stability theoretic results in [29] to certain classes of finite structures. This approach also gives information concerning properties that a sequence of finite ``base structures'' of ever larger size must have in order for its random expansions to a larger vocabulary to have a chance to satisfy a convergence law for first-order logic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16163",
  "author_total": 1,
  "authors": [
    {
      "name": "Vera Koponen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3mdm7e767h76h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16163",
  "fulltext_url": null,
  "id": "3mdm7e767h76h",
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  "landing_url": "https://arxiv.org/abs/2610.16163",
  "language": null,
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.LO"
    ],
    [
      "arxiv",
      "math.LO"
    ],
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      "openalex",
      "2608|Advanced Topology and Set Theory"
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  "pdf_url": "https://arxiv.org/pdf/2610.16163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3mdm7e767h76h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16163"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "A characterization of the finite model property for $ω$-categorical theories",
  "title_text": "A characterization of the finite model property for ω-categorical theories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/3mdm7e767h76h",
  "venue": "arXiv",
  "versions": []
}