{
  "id": "2007.05427",
  "version": "v1",
  "published": "2020-07-10T15:00:52.000Z",
  "updated": "2020-07-10T15:00:52.000Z",
  "title": "The fixed point and the Craig interpolation properties for sublogics of $\\mathbf{IL}$",
  "authors": [
    "Sohei Iwata",
    "Taishi Kurahashi",
    "Yuya Okawa"
  ],
  "comment": "37 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We study the fixed point property and the Craig interpolation property for sublogics of the interpretability logic $\\mathbf{IL}$. We provide a complete description of these sublogics concerning the uniqueness of fixed points, the fixed point property and the Craig interpolation property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-10T15:00:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "craig interpolation property",
      "fixed point property",
      "interpretability logic",
      "complete description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}