{
  "id": "2407.20889",
  "version": "v1",
  "published": "2024-07-30T15:03:08.000Z",
  "updated": "2024-07-30T15:03:08.000Z",
  "title": "Two strong undefinability results in inquisitive and team semantics",
  "authors": [
    "Fausto Barbero"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove two (strong) undefinability results for logics based on inquisitive semantics (or its variant, team semantics). Namely: 1) we show the undefinability of intuitionistic implication in extended propositional inquisitive logic with tensor; 2) we show the undefinability of global disjunction in extended propositional dependence logic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-30T15:03:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C80",
      "03B70",
      "03B60",
      "F.4.1"
    ],
    "keywords": [
      "strong undefinability results",
      "team semantics",
      "extended propositional dependence logic",
      "extended propositional inquisitive logic",
      "intuitionistic implication"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}