{
  "abstract": "We determine the decidability of Karp's NP-complete problems on structures which are first-order definable over the theory of equality, also known as orbit-finite sets with atoms or nominal sets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38436",
  "author_total": 2,
  "authors": [
    {
      "name": "Aidan Healy"
    },
    {
      "name": "Bartek Klin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6sh821dnqwzzr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38436",
  "fulltext_url": null,
  "id": "6sh821dnqwzzr",
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  "landing_url": "https://arxiv.org/abs/2609.38436",
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.38436",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6sh821dnqwzzr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.38436",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38436"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Karp's NP-complete problems over first-order definable structures",
  "title_text": "Karp's NP-complete problems over first-order definable structures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/6sh821dnqwzzr",
  "venue": "arXiv",
  "versions": []
}