{
  "id": "2202.03476",
  "version": "v1",
  "published": "2022-02-07T19:32:12.000Z",
  "updated": "2022-02-07T19:32:12.000Z",
  "title": "Admissible extensions of subtheories of second order arithmetic",
  "authors": [
    "Gerhard Jäger",
    "Michael Rathjen"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we study admissible extensions of several theories T of reverse mathematics. The idea is that in such an extension the structure M = (N,S,\\in) of the natural numbers N and collection of sets of natural numbers S has to obey the axioms of T while simultaneously one also has a set-theoretic world with transfinite levels erected on top of M governed by the axioms of Kripke-Platek set theory, KP.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-07T19:32:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03F05",
      "03F15",
      "03F25",
      "03E30",
      "03B15",
      "03C70"
    ],
    "keywords": [
      "second order arithmetic",
      "natural numbers",
      "subtheories",
      "kripke-platek set theory",
      "reverse mathematics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}