{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:01Z","timestamp":1753894381002,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2021,8,13]],"date-time":"2021-08-13T00:00:00Z","timestamp":1628812800000},"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>We study the expressive power of successor-invariant first-order logic, which\nis an extension of first-order logic where the usage of an additional successor\nrelation on the structure is allowed, as long as the validity of formulas is\nindependent of the choice of a particular successor on finite structures.\n  We show that when the degree is bounded, successor-invariant first-order\nlogic is no more expressive than first-order logic.<\/jats:p>","DOI":"10.46298\/lmcs-17(3:20)2021","type":"journal-article","created":{"date-parts":[[2021,8,23]],"date-time":"2021-08-23T20:49:04Z","timestamp":1629751744000},"source":"Crossref","is-referenced-by-count":1,"title":["Successor-Invariant First-Order Logic on Classes of Bounded Degree"],"prefix":"10.46298","volume":"Volume 17, Issue 3","author":[{"given":"Julien","family":"Grange","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2021,8,13]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/8357\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/8357\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T20:18:11Z","timestamp":1687292291000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/6803"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,13]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-17(3:20)2021","relation":{"has-preprint":[{"id-type":"arxiv","id":"2009.11758v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2009.11758v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2009.11758","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2009.11758","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2021,8,13]]},"article-number":"6803"}}