{
  "id": "1902.00895",
  "version": "v1",
  "published": "2019-02-03T13:54:53.000Z",
  "updated": "2019-02-03T13:54:53.000Z",
  "title": "A note on derivability conditions",
  "authors": [
    "Taishi Kurahashi"
  ],
  "comment": "31 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We investigate relationships between versions of derivability conditions for provability predicates. We show several implications and non-implications between the conditions, and we discuss unprovability of consistency statements induced by derivability conditions. Among other things, we improve Buchholz's schematic proof of provable $\\Sigma_1$-completeness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-03T13:54:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "derivability conditions",
      "buchholzs schematic proof",
      "provability predicates",
      "consistency statements",
      "non-implications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}