{
  "id": "1405.4485",
  "version": "v1",
  "published": "2014-05-18T10:36:03.000Z",
  "updated": "2014-05-18T10:36:03.000Z",
  "title": "Well ordering principles and bar induction",
  "authors": [
    "Michael Rathjen",
    "Pedro Francisco Valencia Vizcaino"
  ],
  "comment": "29 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we show that the existence of omega-models of bar induction is equivalent to the principle saying that applying the Howard-Bachmann operation to any well-ordering yields again a well-ordering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-18T10:36:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B30",
      "03F05",
      "03F15",
      "03F35",
      "03F35"
    ],
    "keywords": [
      "bar induction",
      "ordering principles",
      "howard-bachmann operation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4485R"
    }
  }
}