{
  "id": "2308.16697",
  "version": "v1",
  "published": "2023-08-31T13:02:30.000Z",
  "updated": "2023-08-31T13:02:30.000Z",
  "title": "Game semantics for the constructive $μ$-calculus",
  "authors": [
    "Leonardo Pacheco"
  ],
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "We define game semantics for the constructive $\\mu$-calculus and prove its correctness. We use these game semantics to prove that the $\\mu$-calculus collapses to modal logic over $\\mathsf{CS5}$ frames. Finally, we prove the completeness of $\\mathsf{\\mu CS5}$ over $\\mathsf{CS5}$ frames.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-31T13:02:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B45",
      "03F55",
      "03B62"
    ],
    "keywords": [
      "constructive",
      "define game semantics",
      "calculus collapses",
      "modal logic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}