{
  "abstract": "In this paper, we investigate connections between dependence logics, viewed as a subclass of relating logics, and three-valued logics. More specifically, we identify common features of Epstein's subject-matter semantics and the variable-inclusion conditions characteristic of some infectious many-valued logics. Inspired by Del Cerro and Lugardon's sequent calculi for dependence logics, in which classical connectives are combined with connectives satisfying Epstein-style conditions, we introduce two three-valued dependence-like logics that combine classical conjunction and disjunction with infectious negation and implication. We also provide sound, complete, and cut-free bisequent calculi for these logics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Logic and Logical Philosophy, 2026",
  "arxiv": "2610.08293",
  "author_total": 1,
  "authors": [
    {
      "name": "Yaroslav Petrukhin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aahf1vd2wq55b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08293",
  "fulltext_url": null,
  "id": "aahf1vd2wq55b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08293",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.LO"
    ],
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      "arxiv",
      "math.LO"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.08293",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aahf1vd2wq55b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08293",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08293"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "On Three-Valued Dependence-Like Logics",
  "title_text": "On Three-Valued Dependence-Like Logics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/aahf1vd2wq55b",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.12775/llp.2026.016",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}