{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T05:28:45Z","timestamp":1750310925941},"reference-count":0,"publisher":"Victoria University of Wellington Library","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AJL"],"abstract":"<jats:p>In this paper, we will develop an algebraic study of substructural propositional logics over FLew, i.e. the logic which is obtained from intuitionistic logics by eliminating the contraction rule. Our main technical tool is to use residuated lattices as the algebraic semantics for them. This enables us to study different kinds of nonclassical logics, including intermediate logics, BCK-logics, Lukasiewicz\u2019s many-valued logics and fuzzy logics, within a uniform framework.<\/jats:p>","DOI":"10.26686\/ajl.v8i0.1813","type":"journal-article","created":{"date-parts":[[2018,4,15]],"date-time":"2018-04-15T23:40:19Z","timestamp":1523835619000},"source":"Crossref","is-referenced-by-count":6,"title":["Logics without the contraction rule and residuated lattices"],"prefix":"10.26686","volume":"8","author":[{"given":"Hiroakira","family":"Ono","sequence":"first","affiliation":[]}],"member":"11224","published-online":{"date-parts":[[2010,9,22]]},"container-title":["The Australasian Journal of Logic"],"original-title":[],"link":[{"URL":"https:\/\/ojs.victoria.ac.nz\/ajl\/article\/download\/1813\/1663","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/ojs.victoria.ac.nz\/ajl\/article\/download\/1813\/1663","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,12]],"date-time":"2023-04-12T22:17:32Z","timestamp":1681337852000},"score":1,"resource":{"primary":{"URL":"https:\/\/ojs.victoria.ac.nz\/ajl\/article\/view\/1813"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9,22]]},"references-count":0,"URL":"https:\/\/doi.org\/10.26686\/ajl.v8i0.1813","relation":{},"ISSN":["1448-5052"],"issn-type":[{"value":"1448-5052","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9,22]]}}}