{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:08Z","timestamp":1753894388489,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2022,7,14]],"date-time":"2022-07-14T00:00:00Z","timestamp":1657756800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We extend the meet-implication fragment of propositional intuitionistic logic\nwith a meet-preserving modality. We give semantics based on semilattices and a\nduality result with a suitable notion of descriptive frame. As a consequence we\nobtain completeness and identify a common (modal) fragment of a large class of\nmodal intuitionistic logics. We recognise this logic as a dialgebraic logic,\nand as a consequence obtain expressivity-somewhere-else. Within the dialgebraic\nframework, we then investigate the extension of the meet-implication fragment\nof propositional intuitionistic logic with a monotone modality and prove\ncompleteness and expressivity-somewhere-else for it.<\/jats:p>","DOI":"10.46298\/lmcs-18(3:1)2022","type":"journal-article","created":{"date-parts":[[2022,8,17]],"date-time":"2022-08-17T07:31:41Z","timestamp":1660721501000},"source":"Crossref","is-referenced-by-count":0,"title":["Modal meet-implication logic"],"prefix":"10.46298","volume":"Volume 18, Issue 3","author":[{"given":"Jim","family":"de Groot","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dirk","family":"Pattinson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2022,7,14]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/9900\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/9900\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T20:19:14Z","timestamp":1687292354000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/7026"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,14]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-18(3:1)2022","relation":{"has-preprint":[{"id-type":"arxiv","id":"2012.13858v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2012.13858v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2012.13858","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2012.13858","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2022,7,14]]},"article-number":"7026"}}