{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T08:32:43Z","timestamp":1775550763327,"version":"3.50.1"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>The author has recently introduced an abstract algebraic framework of\nanalogical proportions within the general setting of universal algebra. This\npaper studies analogical proportions in the boolean domain consisting of two\nelements 0 and 1 within his framework. It turns out that our notion of boolean\nproportions coincides with two prominent models from the literature in\ndifferent settings. This means that we can capture two separate modellings of\nboolean proportions within a single framework which is mathematically appealing\nand provides further evidence for the robustness and applicability of the\ngeneral framework.<\/jats:p>","DOI":"10.46298\/lmcs-20(2:2)2024","type":"journal-article","created":{"date-parts":[[2024,4,16]],"date-time":"2024-04-16T15:26:09Z","timestamp":1713281169000},"source":"Crossref","is-referenced-by-count":1,"title":["Boolean proportions"],"prefix":"10.46298","volume":"Volume 20, Issue 2","author":[{"given":"Christian","family":"Anti\u0107","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2024,4,9]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/13376\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/13376\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T11:55:06Z","timestamp":1713354906000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/11055"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,9]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-20(2:2)2024","relation":{"has-preprint":[{"id-type":"arxiv","id":"2109.00388v6","asserted-by":"subject"},{"id-type":"arxiv","id":"2109.00388v5","asserted-by":"subject"},{"id-type":"arxiv","id":"2109.00388v4","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2109.00388","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2109.00388","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,9]]},"article-number":"11055"}}