{
  "id": "2112.09871",
  "version": "v3",
  "published": "2021-12-18T08:01:59.000Z",
  "updated": "2022-08-29T11:40:18.000Z",
  "title": "An ordinal analysis of $Π_{1}$-Collection",
  "authors": [
    "Toshiyasu Arai"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we give an ordinal analysis of a set theory with $\\Pi_{1}$-Collection.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-08-29T11:40:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03F99"
    ],
    "keywords": [
      "ordinal analysis",
      "collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}