{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:37:15Z","timestamp":1753889835568,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2007,7,19]],"date-time":"2007-07-19T00:00:00Z","timestamp":1184803200000},"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>The paper presents probabilistic extensions of interval temporal logic (ITL)\nand duration calculus (DC) with infinite intervals and complete Hilbert-style\nproof systems for them. The completeness results are a strong completeness\ntheorem for the system of probabilistic ITL with respect to an abstract\nsemantics and a relative completeness theorem for the system of probabilistic\nDC with respect to real-time semantics. The proposed systems subsume\nprobabilistic real-time DC as known from the literature. A correspondence\nbetween the proposed systems and a system of probabilistic interval temporal\nlogic with finite intervals and expanding modalities is established too.<\/jats:p>","DOI":"10.2168\/lmcs-3(3:3)2007","type":"journal-article","created":{"date-parts":[[2008,6,3]],"date-time":"2008-06-03T13:08:48Z","timestamp":1212498528000},"source":"Crossref","is-referenced-by-count":4,"title":["Probabilistic Interval Temporal Logic and Duration Calculus with Infinite Intervals: Complete Proof Systems"],"prefix":"10.46298","volume":"Volume 3, Issue 3","author":[{"given":"Dimitar P.","family":"Guelev","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2007,7,19]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/947\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/947\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T19:59:41Z","timestamp":1681243181000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/947"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,19]]},"references-count":0,"URL":"https:\/\/doi.org\/10.2168\/lmcs-3(3:3)2007","relation":{"is-same-as":[{"id-type":"arxiv","id":"0706.0692","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.0706.0692","asserted-by":"subject"}],"is-referenced-by":[{"id-type":"doi","id":"10.1007\/978-3-642-23963-2_18","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2007,7,19]]},"article-number":"947"}}