{
  "id": "1905.03477",
  "version": "v1",
  "published": "2019-05-09T07:41:19.000Z",
  "updated": "2019-05-09T07:41:19.000Z",
  "title": "Strong completeness of modal logics over 0-dimensional metric spaces",
  "authors": [
    "Robert Goldblatt",
    "Ian Hodkinson"
  ],
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "We prove strong completeness results for some modal logics with the universal modality, with respect to their topological semantics over 0-dimensional dense-in-themselves metric spaces. We also use failure of compactness to show that, for some languages and spaces, no standard modal deductive system is strongly complete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-09T07:41:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modal logics",
      "standard modal deductive system",
      "dense-in-themselves metric spaces",
      "strong completeness results",
      "universal modality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}