{
  "abstract": "We introduce communication-complexity lifting techniques into the study of recognizable picture languages. As an application, we resolve a long-standing open problem of Anselmo et al. ( 2006) by constructing a language in UREC whose complement does not belong to REC. Our lower-bound argument is inspired by the communication-complexity approach to unambiguous automata of Göös et al. (2022), although its implementation in the setting of picture languages requires substantially different technical ingredients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Antonin Callard"
    },
    {
      "name": "Andrei Romashchenko"
    },
    {
      "name": "Véronique Terrier"
    },
    {
      "name": "Pascal Vanier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72wkvr89kde16.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "72wkvr89kde16",
  "issns": [],
  "landing_url": "https://hal-lirmm.ccsd.cnrs.fr/lirmm-05758681v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.info"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.info.info-cc"
    ],
    [
      "hal",
      "1.info.info-dm"
    ],
    [
      "hal",
      "1.math.math-it"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal-lirmm.ccsd.cnrs.fr/lirmm-05758681/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72wkvr89kde16.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:54Z",
      "native_id": "lirmm-05758681",
      "source": "hal",
      "url": "https://hal-lirmm.ccsd.cnrs.fr/lirmm-05758681v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Recognizable Picture Languages: Separating UREC from coUREC via Communication Complexity",
  "title_text": "Recognizable Picture Languages: Separating UREC from coUREC via Communication Complexity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:54Z",
  "url": "https://research.draconitic.com/paper/72wkvr89kde16",
  "venue": "HAL",
  "versions": []
}