{
  "id": "1503.07982",
  "version": "v1",
  "published": "2015-03-27T07:33:07.000Z",
  "updated": "2015-03-27T07:33:07.000Z",
  "title": "Axiomatizing some small classes of set functions",
  "authors": [
    "Toshiyasu Arai"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this note we axiomatize the class of rudimentary functions, one of primitive recursive functions, one of safe recursive set functions, one of predicatively computable functions augmented with an iota-operator, and relativized classes of these.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-27T07:33:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03F99"
    ],
    "keywords": [
      "small classes",
      "safe recursive set functions",
      "axiomatizing",
      "rudimentary functions",
      "relativized classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}