{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:36:05Z","timestamp":1753889765729,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2008,3,25]],"date-time":"2008-03-25T00:00:00Z","timestamp":1206403200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/assumed-1991-2003"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We show that a special case of the Feferman-Vaught composition theorem gives\nrise to a natural notion of automata for finite words over an infinite\nalphabet, with good closure and decidability properties, as well as several\nlogical characterizations. We also consider a slight extension of the\nFeferman-Vaught formalism which allows to express more relations between\ncomponent values (such as equality), and prove related decidability results.\n  From this result we get new classes of decidable logics for words over an\ninfinite alphabet.<\/jats:p>","DOI":"10.2168\/lmcs-4(1:8)2008","type":"journal-article","created":{"date-parts":[[2008,6,3]],"date-time":"2008-06-03T13:27:47Z","timestamp":1212499667000},"source":"Crossref","is-referenced-by-count":9,"title":["An Application of the Feferman-Vaught Theorem to Automata and Logics for Words over an Infinite Alphabet"],"prefix":"10.46298","volume":"Volume 4, Issue 1","author":[{"given":"Alexis","family":"B\u00e8s","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2008,3,25]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/1202\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/1202\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T20:05:51Z","timestamp":1681243551000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/1202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,3,25]]},"references-count":0,"URL":"https:\/\/doi.org\/10.2168\/lmcs-4(1:8)2008","relation":{"is-same-as":[{"id-type":"arxiv","id":"0801.2498","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.0801.2498","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2008,3,25]]},"article-number":"1202"}}