{
  "id": "1711.08704",
  "version": "v1",
  "published": "2017-11-23T14:23:22.000Z",
  "updated": "2017-11-23T14:23:22.000Z",
  "title": "The strength of Ramsey's theorem for pairs and arbitrary many colors",
  "authors": [
    "Theodore A. Slaman",
    "Keita Yokoyama"
  ],
  "comment": "8 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper, we show that $\\mathrm{RT}^{2}+\\mathsf{WKL}_0$ is a $\\Pi^{1}_{1}$-conservative extension of $\\mathrm{B}\\Sigma^0_3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-23T14:23:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ramseys theorem",
      "conservative extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}