<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04004801</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-03T14:55:06+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">The Domino problem is undecidable on every rhombus subshift</title>
            <author role="aut">
              <persName>
                <forename type="first">Benjamin</forename>
                <surname>Hellouin de Menibus</surname>
              </persName>
              <email type="md5">13c613dccdadf443c0354589b6ef16a1</email>
              <email type="domain">lri.fr</email>
              <idno type="idhal" notation="string">benjamin-hellouin</idno>
              <idno type="idhal" notation="numeric">15544</idno>
              <idno type="halauthorid" notation="string">997918-15544</idno>
              <idno type="IDREF">https://www.idref.fr/185921329</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-5194-929X</idno>
              <idno type="VIAF">https://viaf.org/viaf/316671950</idno>
              <affiliation ref="#struct-1062147"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Victor</forename>
                <forename type="middle">H</forename>
                <surname>Lutfalla</surname>
              </persName>
              <idno type="halauthorid">2739724-0</idno>
              <affiliation ref="#struct-388984"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Camille</forename>
                <surname>Noûs</surname>
              </persName>
              <email type="md5">f1d1a646350dac28c8a78f22d8607db0</email>
              <email type="domain">cogitamus.fr</email>
              <idno type="idhal" notation="string">cnous</idno>
              <idno type="idhal" notation="numeric">183511</idno>
              <idno type="halauthorid" notation="string">1808461-183511</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0778-8115</idno>
              <idno type="IDREF">https://www.idref.fr/249647966</idno>
              <idno type="ISNI">http://isni.org/isni/0000000507128266</idno>
              <idno type="VIAF">https://viaf.org/viaf/17159818638813811756</idno>
              <affiliation ref="#struct-1004353"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Victor</forename>
                <surname>Lutfalla</surname>
              </persName>
              <email type="md5">f6667dbef5a2bba31665613326151a70</email>
              <email type="domain">ens-lyon.org</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2023-02-25 16:56:51</date>
              <date type="whenModified">2026-02-12 09:19:44</date>
              <date type="whenReleased">2023-03-14 10:54:29</date>
              <date type="whenProduced">2023-06-12</date>
              <date type="whenEndEmbargoed">2023-02-25</date>
              <ref type="file" target="https://hal.science/hal-04004801v1/document">
                <date notBefore="2023-02-25"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-04004801v1/file/domino-rhombus_lipics.pdf" id="file-4004801-3507263">
                <date notBefore="2023-02-25"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2302.12086"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="1067876">
                <persName>
                  <forename>Victor</forename>
                  <surname>Lutfalla</surname>
                </persName>
                <email type="md5">f6667dbef5a2bba31665613326151a70</email>
                <email type="domain">ens-lyon.org</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04004801</idno>
            <idno type="halUri">https://hal.science/hal-04004801</idno>
            <idno type="halBibtex">hellouindemenibus:hal-04004801</idno>
            <idno type="halRefHtml">&lt;i&gt;27th International Conference, Developments in Language Theory (DLT) 2023&lt;/i&gt;, Frank Drewes; Martin Berglund; Johanna Björklund; Lena Strobl, Jun 2023, Umeå, Sweden. &lt;a target="_blank" href="https://dx.doi.org/10.1007/978-3-031-33264-7_9"&gt;&amp;#x27E8;10.1007/978-3-031-33264-7_9&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">27th International Conference, Developments in Language Theory (DLT) 2023, Frank Drewes; Martin Berglund; Johanna Björklund; Lena Strobl, Jun 2023, Umeå, Sweden. &amp;#x27E8;10.1007/978-3-031-33264-7_9&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4004801-3507263"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="ENSI-CAEN">Ecole Nationale Supérieure d'Ingénieurs de Caen</idno>
            <idno type="stamp" n="GREYC">Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (GREYC)</idno>
            <idno type="stamp" n="GREYC-AMACC" corresp="GREYC">GREYC amacc</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="ENSICAEN">École Nationale Supérieure d’Ingénieurs de Caen</idno>
            <idno type="stamp" n="UNICAEN">Université de Caen Normandie</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="LISN">Laboratoire Interdisciplinaire des Sciences du Numérique</idno>
            <idno type="stamp" n="GS-COMPUTER-SCIENCE">Graduate School Computer Science</idno>
            <idno type="stamp" n="LISN-GALAC" corresp="LISN">Graphes, Algorithmes et Combinatoire </idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">The Domino problem is undecidable on every rhombus subshift</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Benjamin</forename>
                    <surname>Hellouin de Menibus</surname>
                  </persName>
                  <email type="md5">13c613dccdadf443c0354589b6ef16a1</email>
                  <email type="domain">lri.fr</email>
                  <idno type="idhal" notation="string">benjamin-hellouin</idno>
                  <idno type="idhal" notation="numeric">15544</idno>
                  <idno type="halauthorid" notation="string">997918-15544</idno>
                  <idno type="IDREF">https://www.idref.fr/185921329</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-5194-929X</idno>
                  <idno type="VIAF">https://viaf.org/viaf/316671950</idno>
                  <affiliation ref="#struct-1062147"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Victor</forename>
                    <forename type="middle">H</forename>
                    <surname>Lutfalla</surname>
                  </persName>
                  <idno type="halauthorid">2739724-0</idno>
                  <affiliation ref="#struct-388984"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Camille</forename>
                    <surname>Noûs</surname>
                  </persName>
                  <email type="md5">f1d1a646350dac28c8a78f22d8607db0</email>
                  <email type="domain">cogitamus.fr</email>
                  <idno type="idhal" notation="string">cnous</idno>
                  <idno type="idhal" notation="numeric">183511</idno>
                  <idno type="halauthorid" notation="string">1808461-183511</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0778-8115</idno>
                  <idno type="IDREF">https://www.idref.fr/249647966</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000507128266</idno>
                  <idno type="VIAF">https://viaf.org/viaf/17159818638813811756</idno>
                  <affiliation ref="#struct-1004353"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">Developments in Language Theory. 27th International Conference, DLT 2023, Umeå, Sweden, June 12–16, 2023, Proceedings. Lecture Notes in Computer Science (LNCS, volume 13911)</title>
                <meeting>
                  <title>27th International Conference, Developments in Language Theory (DLT) 2023</title>
                  <date type="start">2023-06-12</date>
                  <date type="end">2023-06-16</date>
                  <settlement>Umeå</settlement>
                  <country key="SE">Sweden</country>
                </meeting>
                <respStmt>
                  <resp>conferenceOrganizer</resp>
                  <name>Frank Drewes</name>
                  <name>Martin Berglund</name>
                  <name>Johanna Björklund</name>
                  <name>Lena Strobl</name>
                </respStmt>
                <editor>Springer</editor>
                <imprint>
                  <biblScope unit="volume">13911</biblScope>
                </imprint>
              </monogr>
              <idno type="arxiv">2302.12086</idno>
              <idno type="doi">10.1007/978-3-031-33264-7_9</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Domino problem</term>
                <term xml:lang="en">Decidability</term>
                <term xml:lang="en">Rhombus tiling</term>
              </keywords>
              <classCode scheme="halDomain" n="info">Computer Science [cs]</classCode>
              <classCode scheme="halDomain" n="math">Mathematics [math]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We extend the classical Domino problem to any tiling of rhombus-shaped tiles. For any subshift X of edge-to-edge rhombus tilings, such as the Penrose subshift, we prove that the associated X-Domino problem is Π 0 1-hard and therefore undecidable. It is Π 0 1-complete when the subshift X is given by a computable sequence of forbidden patterns.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-1062147" status="VALID">
          <orgName>Graphes, Algorithmes et Combinatoire - LISN</orgName>
          <orgName type="acronym">GALaC</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <addrLine>Université Paris-Saclay, Bâtiment 650, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1061259" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-419361" type="indirect"/>
            <relation name="UMR9015" active="#struct-441569" type="indirect"/>
            <relation active="#struct-1065373" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-388984" status="VALID">
          <orgName>Equipe AMACC - Laboratoire GREYC - UMR6072</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-150" type="direct"/>
            <relation active="#struct-7127" type="indirect"/>
            <relation active="#struct-455934" type="indirect"/>
            <relation active="#struct-246955" type="indirect"/>
            <relation name="UMR6072" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-1004353" status="VALID">
          <idno type="IdRef">257685405</idno>
          <orgName>Laboratoire Cogitamus = Cogitamus Laboratory</orgName>
          <date type="start">2020-03-20</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cogitamus.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1061259" status="VALID">
          <idno type="IdRef">253160316</idno>
          <idno type="RNSR">202123711L</idno>
          <idno type="ROR">https://ror.org/00rd81916</idno>
          <idno type="Wikidata">Q109620676</idno>
          <orgName>Laboratoire Interdisciplinaire des Sciences du Numérique</orgName>
          <orgName type="acronym">LISN</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <addrLine>Campus Universitaire bât 507Rue du Belvédère91405 Orsay cedexet Campus Universitaire bât 6401 rue Raimond Castaing91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.lisn.upsaclay.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UMR9015" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-1065373" status="VALID">
          <orgName>Algorithmes, Apprentissage et Calcul</orgName>
          <orgName type="acronym">AAC</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1061259" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-419361" type="indirect"/>
            <relation name="UMR9015" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-150" status="VALID">
          <idno type="IdRef">035827335</idno>
          <idno type="ISNI">0000 0000 9466 2590</idno>
          <idno type="RNSR">201722568L</idno>
          <idno type="ROR">https://ror.org/043749971</idno>
          <idno type="Wikidata">Q3117752</idno>
          <orgName>Groupe de Recherche en Informatique, Image et Instrumentation de Caen</orgName>
          <orgName type="acronym">GREYC</orgName>
          <date type="start">1995-01-01</date>
          <desc>
            <address>
              <addrLine>Boulevard du Maréchal Juin - 14050 CAEN Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.greyc.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-7127" type="direct"/>
            <relation active="#struct-455934" type="indirect"/>
            <relation active="#struct-246955" type="direct"/>
            <relation name="UMR6072" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-7127" status="VALID">
          <idno type="IdRef">026403064</idno>
          <idno type="ISNI">0000000121864076</idno>
          <idno type="ROR">https://ror.org/051kpcy16</idno>
          <orgName>Université de Caen Normandie</orgName>
          <orgName type="acronym">UNICAEN</orgName>
          <date type="start">1432-01-01</date>
          <desc>
            <address>
              <addrLine>Esplanade de la Paix - CS 14032 - 14032 CAEN Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.unicaen.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-455934" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-455934" status="VALID">
          <idno type="IdRef">190906332</idno>
          <idno type="ISNI">0000000417859671 </idno>
          <idno type="ROR">https://ror.org/01k40cz91</idno>
          <orgName>Normandie Université</orgName>
          <orgName type="acronym">NU</orgName>
          <date type="start">2015-01-01</date>
          <desc>
            <address>
              <addrLine>Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.normandie-univ.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-246955" status="VALID">
          <idno type="IdRef">190907991</idno>
          <idno type="ROR">https://ror.org/01fpqqe90</idno>
          <orgName>École Nationale Supérieure d'Ingénieurs de Caen</orgName>
          <orgName type="acronym">ENSICAEN</orgName>
          <desc>
            <address>
              <addrLine>6, Boulevard du Maréchal Juin CS 45053 14050 CAEN cedex 04</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ensicaen.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-455934" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>