{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T03:33:51Z","timestamp":1767929631311,"version":"3.49.0"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>Logical relations built on top of an operational semantics are one of the\nmost successful proof methods in programming language semantics. In recent\nyears, more and more expressive notions of operationally-based logical\nrelations have been designed and applied to specific families of languages.\nHowever, a unifying abstract framework for operationally-based logical\nrelations is still missing. We show how fibrations can provide a uniform\ntreatment of operational logical relations, using as reference example a\nlambda-calculus with generic effects endowed with a novel, abstract operational\nsemantics defined on a large class of categories. Moreover, this abstract\nperspective allows us to give a solid mathematical ground also to differential\nlogical relations -- a recently introduced notion of higher-order distance\nbetween programs -- both pure and effectful, bringing them back to a common\npicture with traditional ones.<\/jats:p>","DOI":"10.46298\/lmcs-20(2:1)2024","type":"journal-article","created":{"date-parts":[[2024,4,8]],"date-time":"2024-04-08T09:35:07Z","timestamp":1712568907000},"source":"Crossref","is-referenced-by-count":1,"title":["A Fibrational Tale of Operational Logical Relations: Pure, Effectful and Differential"],"prefix":"10.46298","volume":"Volume 20, Issue 2","author":[{"given":"Francesco","family":"Dagnino","sequence":"first","affiliation":[]},{"given":"Francesco","family":"Gavazzo","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2024,4,4]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/13364\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/13364\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,16]],"date-time":"2024-04-16T15:30:10Z","timestamp":1713281410000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/11041"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,4]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-20(2:1)2024","relation":{"has-preprint":[{"id-type":"arxiv","id":"2303.03271v4","asserted-by":"subject"},{"id-type":"arxiv","id":"2303.03271v3","asserted-by":"subject"},{"id-type":"arxiv","id":"2303.03271v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2303.03271","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2303.03271","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,4]]},"article-number":"11041"}}