{
  "id": "1809.08299",
  "version": "v1",
  "published": "2018-09-21T20:14:07.000Z",
  "updated": "2018-09-21T20:14:07.000Z",
  "title": "On elimination of quantifiers in some non-classical mathematical theories",
  "authors": [
    "Guillermo Badia",
    "Andrew Tedder"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Elimination of quantifiers is shown to fail dramatically for a group of well-known mathematical theories (classically enjoying the property) against a wide range of relevant logical backgrounds. Furthermore, it is suggested that only by moving to more extensional underlying logics can we get the property back.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-21T20:14:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-classical mathematical theories",
      "elimination",
      "quantifiers",
      "well-known mathematical theories",
      "relevant logical backgrounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}