{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:29Z","timestamp":1753894409551,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,4,17]]},"abstract":"<jats:p>In this paper, we investigate the relationship between two elementary operations on derivations in the framework of graph transformation based on adhesive categories: moving a derivation along a derivation based on parallel and sequential independence on one hand and restriction of a derivation with respect to a monomorphism into the start object on the other hand. Intuitively, a restriction clips off parts of the start object that are never matched by a rule application throughout the derivation on the other hand. As main result, it is shown that moving a derivation preserves its spine being the minimal restriction.<\/jats:p>","DOI":"10.46298\/lmcs-21(2:4)2025","type":"journal-article","created":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T12:50:06Z","timestamp":1744894206000},"source":"Crossref","is-referenced-by-count":0,"title":["Moving a Derivation Along a Derivation Preserves the Spine in Adhesive Categories"],"prefix":"10.46298","volume":"Volume 21, Issue 2","author":[{"given":"Hans-J\u00f6rg","family":"Kreowski","sequence":"first","affiliation":[]},{"given":"Aaron","family":"Lye","sequence":"additional","affiliation":[]},{"given":"Aljoscha","family":"Windhorst","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2025,4,16]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/2312.13510v5","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/2312.13510v5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T12:50:07Z","timestamp":1744894207000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/12739"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,16]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-21(2:4)2025","relation":{"has-preprint":[{"id-type":"arxiv","id":"2312.13510v3","asserted-by":"subject"},{"id-type":"arxiv","id":"2312.13510v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2312.13510v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2312.13510","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2312.13510","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2025,4,16]]},"article-number":"12739"}}