{
  "id": "1811.09964",
  "version": "v1",
  "published": "2018-11-25T06:45:17.000Z",
  "updated": "2018-11-25T06:45:17.000Z",
  "title": "Proof-theoretic ordinals of the well ordering principles",
  "authors": [
    "Toshiyasu Arai"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this note the proof-theoretic ordinal of the well-ordering principle for the strictly increasing functions $g$ on ordinals is shown to be equal to the least closure point of $g$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-25T06:45:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03F35"
    ],
    "keywords": [
      "proof-theoretic ordinal",
      "ordering principles",
      "closure point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}