{
  "id": "1306.5559",
  "version": "v4",
  "published": "2013-06-24T10:00:48.000Z",
  "updated": "2014-01-20T17:08:03.000Z",
  "title": "Characterising Complexity Classes by Inductive Definitions in Bounded Arithmetic",
  "authors": [
    "Naohi Eguchi"
  ],
  "comment": "Technical report",
  "categories": [
    "math.LO"
  ],
  "abstract": "Famous descriptive characterisations of P and PSPACE are restated in terms of the Cook-Nguyen style second order bounded arithmetic. We introduce an axiom of inductive definitions over second order bounded arithmetic. We show that P can be captured by the axiom of inflationary inductive definitions whereas PSPACE can be captured by the axiom of non-inflationary inductive definitions.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-01-20T17:08:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inductive definitions",
      "characterising complexity classes",
      "style second order bounded arithmetic",
      "cook-nguyen style second order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5559E"
    }
  }
}