{
  "id": "2110.14872",
  "version": "v2",
  "published": "2021-10-28T03:52:35.000Z",
  "updated": "2023-04-08T18:26:09.000Z",
  "title": "Some observations on the FGH theorem",
  "authors": [
    "Taishi Kurahashi"
  ],
  "comment": "28 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We investigate the Friedman--Goldfarb--Harrington theorem from two perspectives. Firstly, in the frameworks of classical and modal propositional logics, we study the forms of sentences whose existence is guaranteed by the FGH theorem. Secondly, we prove some variations of the FGH theorem with respect to Rosser provability predicates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-04-08T18:26:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fgh theorem",
      "observations",
      "modal propositional logics",
      "rosser provability predicates",
      "friedman-goldfarb-harrington theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}