{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:27:19Z","timestamp":1761611239644,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2008,11,21]],"date-time":"2008-11-21T00:00:00Z","timestamp":1227225600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We generalize some of the central results in automata theory to the\nabstraction level of coalgebras and thus lay out the foundations of a universal\ntheory of automata operating on infinite objects.\n  Let F be any set functor that preserves weak pullbacks. We show that the\nclass of recognizable languages of F-coalgebras is closed under taking unions,\nintersections, and projections. We also prove that if a nondeterministic\nF-automaton accepts some coalgebra it accepts a finite one of the size of the\nautomaton. Our main technical result concerns an explicit construction which\ntransforms a given alternating F-automaton into an equivalent nondeterministic\none, whose size is exponentially bound by the size of the original automaton.<\/jats:p>","DOI":"10.2168\/lmcs-4(4:10)2008","type":"journal-article","created":{"date-parts":[[2009,1,9]],"date-time":"2009-01-09T10:25:18Z","timestamp":1231496718000},"source":"Crossref","is-referenced-by-count":20,"title":["Coalgebraic Automata Theory: Basic Results"],"prefix":"10.46298","volume":"Volume 4, Issue 4","author":[{"given":"C.","family":"Kupke","sequence":"first","affiliation":[]},{"given":"Y.","family":"Venema","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2008,11,21]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/1203\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/1203\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T20:05:53Z","timestamp":1681243553000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/1203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,11,21]]},"references-count":0,"URL":"https:\/\/doi.org\/10.2168\/lmcs-4(4:10)2008","relation":{"is-same-as":[{"id-type":"arxiv","id":"0811.1976","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.0811.1976","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2008,11,21]]},"article-number":"1203"}}