{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:38:55Z","timestamp":1753889935756,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2017,9,6]],"date-time":"2017-09-06T00:00:00Z","timestamp":1504656000000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,9,6]],"date-time":"2017-09-06T00:00:00Z","timestamp":1504656000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,9,6]],"date-time":"2017-09-06T00:00:00Z","timestamp":1504656000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>Notions of simulation, among other uses, provide a computationally tractable and sound (but not necessarily complete) proof method for language inclusion. They have been comprehensively studied by Lynch and Vaandrager for nondeterministic and timed systems; for B\\&amp;quot;{u}chi automata the notion of fair simulation has been introduced by Henzinger, Kupferman and Rajamani. We contribute to a generalization of fair simulation in two different directions: one for nondeterministic tree automata previously studied by Bomhard; and the other for probabilistic word automata with finite state spaces, both under the B\\&amp;quot;{u}chi acceptance condition. The former nondeterministic definition is formulated in terms of systems of fixed-point equations, hence is readily translated to parity games and is then amenable to Jurdzi\\'{n}ski's algorithm; the latter probabilistic definition bears a strong ranking-function flavor. These two different-looking definitions are derived from one source, namely our coalgebraic modeling of B\\&amp;quot;{u}chi automata. Based on these coalgebraic observations, we also prove their soundness: a simulation indeed witnesses language inclusion.<\/jats:p>","DOI":"10.23638\/lmcs-13(3:20)2017","type":"journal-article","created":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:32:13Z","timestamp":1743701533000},"source":"Crossref","is-referenced-by-count":1,"title":["Fair Simulation for Nondeterministic and Probabilistic Buechi Automata: a Coalgebraic Perspective"],"prefix":"10.23638","volume":"Volume 13, Issue 3","author":[{"given":"Natsuki","family":"Urabe","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8300-4650","authenticated-orcid":false,"given":"Ichiro","family":"Hasuo","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2017,9,6]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/1606.04680v4","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/1606.04680v4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:32:13Z","timestamp":1743701533000},"score":1,"resource":{"primary":{"URL":"http:\/\/lmcs.episciences.org\/3226"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,6]]},"references-count":0,"URL":"https:\/\/doi.org\/10.23638\/lmcs-13(3:20)2017","relation":{"has-preprint":[{"id-type":"arxiv","id":"1606.04680v3","asserted-by":"subject"},{"id-type":"arxiv","id":"1606.04680v2","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1606.04680","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1606.04680","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2017,9,6]]},"article-number":"3226"}}