{
  "id": "1804.09638",
  "version": "v1",
  "published": "2018-04-25T15:41:27.000Z",
  "updated": "2018-04-25T15:41:27.000Z",
  "title": "Reverse mathematics and colorings of hypergraphs",
  "authors": [
    "Caleb Davis",
    "Jeffry Hirst",
    "Jake Pardo",
    "Timothy Ransom"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Working in subsystems of second order arithmetic, we formulate several representations for hypergraphs. We then prove the equivalence of various vertex coloring theorems to ${\\sf WKL}_0$, ${\\sf ACA}_0$ and $\\Pi ^1_ 1$-${\\sf CA}_0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-25T15:41:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B30",
      "03F35"
    ],
    "keywords": [
      "reverse mathematics",
      "hypergraphs",
      "second order arithmetic",
      "vertex coloring theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}