{
  "id": "2009.02209",
  "version": "v1",
  "published": "2020-09-04T14:10:32.000Z",
  "updated": "2020-09-04T14:10:32.000Z",
  "title": "Forcing the $Π^1_3$-Reduction Property",
  "authors": [
    "Stefan Hoffelner"
  ],
  "comment": "18 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We force over the constructible universe to obtain a model of the $\\Pi^1_3$-reduction property, thus lowering the best known large cardinal strength from $\\bf{\\Delta^1_2}$-determinacy to just ZFC.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-04T14:10:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E35",
      "03E45"
    ],
    "keywords": [
      "reduction property",
      "large cardinal strength",
      "constructible universe",
      "determinacy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}