{
  "id": "2409.07156",
  "version": "v1",
  "published": "2024-09-11T10:01:53.000Z",
  "updated": "2024-09-11T10:01:53.000Z",
  "title": "Building Models of Determinacy from Below",
  "authors": [
    "Obrad Kasum",
    "Grigor Sargsyan"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We present an $L$-like construction that produces the minimal model of $\\mathsf{AD}_\\mathbb{R}+$\"$\\Theta$ is regular\". In fact, our construction can produce any model of $\\mathsf{AD}^++\\mathsf{AD}_\\mathbb{R}+V=L(\\mathcal{P}(\\mathbb{R}))$ in which there is no hod mouse with a measurable limit of Woodins.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-11T10:01:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E60",
      "03E15",
      "03E45"
    ],
    "keywords": [
      "building models",
      "determinacy",
      "construction",
      "minimal model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}