{
  "id": "2209.10039",
  "version": "v1",
  "published": "2022-09-20T23:18:49.000Z",
  "updated": "2022-09-20T23:18:49.000Z",
  "title": "Intermediate logics in the setting of team semantics",
  "authors": [
    "Nick Bezhanishvili",
    "Fan Yang"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Several authors have recently defined intuitionistic logic based on team semantics (tIPC). In this paper we provide two alternative approaches to intermediate logics in the team semantics setting. We do this by modifying tIPC with axioms written with two different versions of disjunction in the logic, a local one and global one. We prove a characterization theorem in the first approach and we introduce a generalized team semantics in the second one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-20T23:18:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B55",
      "03B60"
    ],
    "keywords": [
      "intermediate logics",
      "defined intuitionistic logic",
      "axioms written",
      "characterization theorem",
      "first approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}