{
  "id": "1112.5237",
  "version": "v2",
  "published": "2011-12-22T05:57:27.000Z",
  "updated": "2012-06-12T18:04:16.000Z",
  "title": "Towards a Model Theory for Transseries",
  "authors": [
    "Matthias Aschenbrenner",
    "Lou van den Dries",
    "Joris van der Hoeven"
  ],
  "comment": "Notre Dame J. Form. Log., to appear; 33 pp",
  "categories": [
    "math.LO",
    "math.DS"
  ],
  "abstract": "The differential field of transseries extends the field of real Laurent series, and occurs in various context: asymptotic expansions, analytic vector fields, o-minimal structures, to name a few. We give an overview of the algebraic and model-theoretic aspects of this differential field, and report on our efforts to understand its first-order theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-12T18:04:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "model theory",
      "differential field",
      "real laurent series",
      "analytic vector fields",
      "model-theoretic aspects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5237A"
    }
  }
}