{
  "id": "1802.03516",
  "version": "v1",
  "published": "2018-02-10T04:02:30.000Z",
  "updated": "2018-02-10T04:02:30.000Z",
  "title": "A sequence of neighborhood contingency logics",
  "authors": [
    "Jie Fan"
  ],
  "comment": "10 pages",
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "This note proposes various axiomatizations of contingency logic under neighborhood semantics. In particular, by defining a suitable canonical neighborhood function, we give sound and complete axiomatizations of monotone contingency logic and regular contingency logic, thereby answering two open questions raised by Bakhtiari, van Ditmarsch, and Hansen. The canonical function is inspired by a function proposed by Kuhn in 1995. We show that Kuhn's function is actually equal to a related function originally given by Humberstone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-10T04:02:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B45"
    ],
    "keywords": [
      "neighborhood contingency logics",
      "monotone contingency logic",
      "regular contingency logic",
      "neighborhood semantics",
      "complete axiomatizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}