{
  "id": "2404.01670",
  "version": "v1",
  "published": "2024-04-02T06:19:12.000Z",
  "updated": "2024-04-02T06:19:12.000Z",
  "title": "Locally tabular products of modal logics",
  "authors": [
    "Ilya B. Shapirovsky",
    "Vladislav Sliusarev"
  ],
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "In the product $L_1\\times L_2$ of two Kripke complete consistent logics, local tabularity of $L_1$ and $L_2$ is necessary for local tabularity of $L_1\\times L_2$. However, it is not sufficient: the product of two locally tabular logics can be not locally tabular. We provide extra semantic and axiomatic conditions which give criteria of local tabularity of the product of two locally tabular logics. Then we apply them to identify new families of locally tabular products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-02T06:19:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B45"
    ],
    "keywords": [
      "locally tabular products",
      "modal logics",
      "local tabularity",
      "locally tabular logics",
      "kripke complete consistent logics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}