{"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":1753894409200,"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":[[2025,3,11]]},"abstract":"<jats:p>We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based approach, we establish that the satisfiability problem for CTL(Z) (CTL with constraints in Z) is ExpTime-complete and the satisfiability problem for CTL*(Z) is 2ExpTime-complete solving a longstanding open problem (only decidability was known so far). By-product results with other concrete domains and other logics, such as description logics with concrete domains, are also briefly presented.<\/jats:p>","DOI":"10.46298\/lmcs-21(2:16)2025","type":"journal-article","created":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T08:40:10Z","timestamp":1750408810000},"source":"Crossref","is-referenced-by-count":0,"title":["Constraint Automata on Infinite Data Trees: From CTL(Z)\/CTL*(Z) To Decision Procedures"],"prefix":"10.46298","volume":"Volume 21, Issue 2","author":[{"given":"Stephane","family":"Demri","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Karin","family":"Quaas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2025,5,30]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/2302.05327v7","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/2302.05327v7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T08:40:10Z","timestamp":1750408810000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/12982"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,30]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-21(2:16)2025","relation":{"has-preprint":[{"id-type":"arxiv","id":"2302.05327v5","asserted-by":"subject"},{"id-type":"arxiv","id":"2302.05327v4","asserted-by":"subject"},{"id-type":"arxiv","id":"2302.05327v3","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2302.05327","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2302.05327","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2025,5,30]]},"article-number":"12982"}}