{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T22:44:34Z","timestamp":1757630674976,"version":"3.44.0"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T00:00:00Z","timestamp":1756425600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T00:00:00Z","timestamp":1756425600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T00:00:00Z","timestamp":1756425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,5,20]]},"abstract":"<jats:p>We study the semantics of an untyped lambda-calculus equipped with operators representing read and write operations from and to a global store. We adopt the monadic approach to model side-effects and treat read and write as algebraic operations over a monad. We introduce operational and denotational semantics and a type assignment system of intersection types and prove that types are invariant under the reduction and expansion of term and state configurations. Finally, we characterize convergent terms via their typings.<\/jats:p>","DOI":"10.46298\/fi.10010","type":"journal-article","created":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T19:50:13Z","timestamp":1757533813000},"source":"Crossref","is-referenced-by-count":0,"title":["Intersection Types for a Computational Lambda-Calculus with Global State"],"prefix":"10.46298","volume":"Volume 194, Issue 3","author":[{"given":"Ugo","family":"de'Liguoro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Riccardo","family":"Treglia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2025,8,29]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/2104.01358v5","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/2104.01358v5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T19:50:13Z","timestamp":1757533813000},"score":1,"resource":{"primary":{"URL":"http:\/\/fi.episciences.org\/10010"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,29]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/fi.10010","relation":{"has-preprint":[{"id-type":"arxiv","id":"2104.01358v4","asserted-by":"subject"},{"id-type":"arxiv","id":"2104.01358v3","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2104.01358","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2104.01358","asserted-by":"subject"}]},"ISSN":["1875-8681"],"issn-type":[{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,29]]},"article-number":"10010"}}