{
  "id": "1902.06863",
  "version": "v1",
  "published": "2019-02-19T02:31:41.000Z",
  "updated": "2019-02-19T02:31:41.000Z",
  "title": "Rosser provability and the second incompleteness theorem",
  "authors": [
    "Taishi Kurahashi"
  ],
  "comment": "21 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "This paper is a continuation of Arai's paper on derivability conditions for Rosser provability predicates. We investigate the limitations of the second incompleteness theorem by constructing three different Rosser provability predicates satisfying several derivability conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-19T02:31:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second incompleteness theorem",
      "derivability conditions",
      "arais paper",
      "rosser provability predicates satisfying",
      "continuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}