{
  "abstract": "We establish a general result on the proof-theoretic strength of well-ordering principles in reverse mathematics. The novelty is that our result gives information over base theories as weak as $\\mathsf{RCA}_0$, while previous results of Arai, Pakhomov-Walsh and Buriola-Weiermann required the stronger base theory $\\mathsf{ACA}_0$. On the way, we strengthen a result of Carlucci-Mainardi-Rathjen about the ordinal analysis of theories of the form $\\mathsf{RCA}_0+\\text{``$α$ is a well-order\"}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26336",
  "author_total": 4,
  "authors": [
    {
      "name": "Gabriele Buriola"
    },
    {
      "name": "Giacomo Cozzi"
    },
    {
      "name": "Antonia Dammrau"
    },
    {
      "name": "Anton Freund"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1117mbjx6j2t6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26336",
  "fulltext_url": null,
  "id": "1117mbjx6j2t6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26336",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
    ]
  ],
  "openalex": "W7223040596",
  "pdf_url": "https://arxiv.org/pdf/2610.26336",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1117mbjx6j2t6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26336",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26336"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Well-ordering principles over recursive comprehension",
  "title_text": "Well-ordering principles over recursive comprehension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/1117mbjx6j2t6",
  "venue": "arXiv",
  "versions": []
}