{
  "id": "1805.06763",
  "version": "v1",
  "published": "2018-05-12T08:58:20.000Z",
  "updated": "2018-05-12T08:58:20.000Z",
  "title": "The $Σ_1$-Provability Logic of HA*",
  "authors": [
    "Mohammad Ardeshir",
    "Mojtaba Mojtahedi"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1409.5699",
  "categories": [
    "math.LO"
  ],
  "abstract": "For the Heyting Arithmetic HA, HA* is defined as the theory $\\{A\\mid {\\sf HA}\\vdash A^{\\Box}\\}$, where $A^{\\Box}$ is called the box translation of $A$. We characterize the $\\Sigma_1$-provability logic of HA* as a modal theory ${\\sf iH}_\\sigma^*$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-12T08:58:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "provability logic",
      "box translation",
      "heyting arithmetic ha"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}