{
  "id": "2103.17024",
  "version": "v1",
  "published": "2021-03-31T12:15:37.000Z",
  "updated": "2021-03-31T12:15:37.000Z",
  "title": "A Lindström theorem for intuitionistic first-order logic",
  "authors": [
    "Grigory Olkhovikov",
    "Guillermo Badia",
    "Reihane Zoghifard"
  ],
  "comment": "50 pages, 0 figures",
  "categories": [
    "math.LO"
  ],
  "abstract": "We extend the main result of (G. Badia and G. Olkhovikov. A Lindstr\\\"om theorem for intuitionistic propositional logic. Notre Dame Journal of Formal Logic, 61 (1): 11--30 (2020)) to the first-order intuitionistic logic (with and without equality), showing that it is the maximal (with respect to expressive power) abstract logic satisfying a certain form of compactness, the Tarski union property and preservation under asimulations. A similar result is also shown for the intuitionistic logic of constant domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-31T12:15:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C95",
      "03B20",
      "03B55"
    ],
    "keywords": [
      "intuitionistic first-order logic",
      "lindström theorem",
      "tarski union property",
      "intuitionistic propositional logic",
      "notre dame journal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}