{
  "id": "2403.04254",
  "version": "v1",
  "published": "2024-03-07T06:36:07.000Z",
  "updated": "2024-03-07T06:36:07.000Z",
  "title": "Finite final segments of the d.c.e. Turing degrees",
  "authors": [
    "Steffen Lempp",
    "Yiqun Liu",
    "Yong Liu",
    "Keng Meng Ng",
    "Cheng Peng",
    "Guohua Wu"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that every finite distributive lattice is isomorphic to a final segment of the d.c.e. Turing degrees (i.e., the degrees of differences of computably enumerable sets).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-07T06:36:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite final segments",
      "turing degrees",
      "finite distributive lattice",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}