{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:03Z","timestamp":1753894383684,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T00:00:00Z","timestamp":1642118400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>In the graphical calculus of planar string diagrams, equality is generated by\nexchange moves, which swap the heights of adjacent vertices. We show that left-\nand right-handed exchanges each give strongly normalizing rewrite strategies\nfor connected string diagrams. We use this result to give a linear-time\nsolution to the equivalence problem in the connected case, and a quadratic\nsolution in the general case. We also give a stronger proof of the Joyal-Street\ncoherence theorem, settling Selinger's conjecture on recumbent isotopy.<\/jats:p>","DOI":"10.46298\/lmcs-18(1:10)2022","type":"journal-article","created":{"date-parts":[[2022,1,19]],"date-time":"2022-01-19T20:54:16Z","timestamp":1642625656000},"source":"Crossref","is-referenced-by-count":0,"title":["Normalization for planar string diagrams and a quadratic equivalence algorithm"],"prefix":"10.46298","volume":"Volume 18, Issue 1","author":[{"given":"Antonin","family":"Delpeuch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamie","family":"Vicary","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2022,1,14]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/8960\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/8960\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T20:17:28Z","timestamp":1687292248000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/6067"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,14]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-18(1:10)2022","relation":{"has-preprint":[{"id-type":"arxiv","id":"1804.07832v4","asserted-by":"subject"},{"id-type":"arxiv","id":"1804.07832v3","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1804.07832","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1804.07832","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2022,1,14]]},"article-number":"6067"}}