{
  "id": "1406.5700",
  "version": "v2",
  "published": "2014-06-22T10:46:53.000Z",
  "updated": "2015-02-27T10:52:25.000Z",
  "title": "A dichotomy for some elementarily generated modal logics",
  "authors": [
    "Stanislav Kikot"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we consider the normal modal logics of elementary classes defined by first-order formulas of the form $\\forall x_0 \\exists x_1 \\dots \\exists x_n \\bigwedge x_i R_\\lambda x_j$. We prove that many properties of these logics, such as finite axiomatisability, elementarity, axiomatisability by a set of canonical formulas or by a single generalised Sahlqvist formula, together with modal definability of the initial formula, either simultaneously hold or simultaneously do not hold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-22T10:46:53.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-27T10:52:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementarily generated modal logics",
      "normal modal logics",
      "single generalised sahlqvist formula",
      "initial formula",
      "elementary classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5700K"
    }
  }
}