{
  "id": "2106.10931",
  "version": "v1",
  "published": "2021-06-21T09:02:16.000Z",
  "updated": "2021-06-21T09:02:16.000Z",
  "title": "Algebraic Semantics for the Logic of Proofs",
  "authors": [
    "Amir Farahmand Parsa",
    "Meghdad Ghari"
  ],
  "comment": "24 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We present algebraic semantics for the classical logic of proofs based on Boolean algebras. We also extend the language of the logic of proofs in order to have a Boolean structure on justification terms and equality predicate on terms. In the end, the completeness theorem and certain generalizations of Stone's representation theorem are obtained for all proposed algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-21T09:02:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B45"
    ],
    "keywords": [
      "algebraic semantics",
      "stones representation theorem",
      "boolean algebras",
      "completeness theorem",
      "boolean structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}