{“状态”:“确定”,“消息类型”:“工作”,“信息版本”:“1.0.0”,“邮件”:{“索引”:{-“日期-部件”:[[2024,8,27]],“日期-时间”:“2024-08-27T13:49:00Z”,“时间戳”:1724766540319},“参考-计数”:20,“出版商”:“剑桥大学出版社(CUP)”,“问题”:“3”,“许可证”:[{“开始”:{-date-parts“:[[2014,3,12]],“时间me“:”2014-03-12T00:00:00Z“,”时间戳“:1394582400000},“content-version”:“unspecified”,“delay-in-days”:2384,“URL”:“https:\/\/www.cambridge.org\/core\/terms”}],“content-domain”:{“domain”:[],“crossmark-restriction”:false},”short-container-title“:[”J.symb.log.“],”published-print“:{”date-parts“:[[2007,9]}”,“abstract”:“”摘要<\/jats:title>子结构模糊逻辑是关于格约简为实单位区间[0,1]的代数的完备子结构逻辑。本文介绍了Uninormal逻辑UL作为乘法加法直觉线性逻辑用预线性公理扩展MAILL((A\u2192 B)\u2227 t)V((B\u2192A)\u22527 t)</jats:italic>。的公理化扩展UL<\/jats:bold>包括已知的模糊逻辑,如Monoidt<\/jats:italic>-范数逻辑MIX和G\u00f6del逻辑G<\/jats:bold>和新的无削弱逻辑。这些逻辑的代数语义由(可表示的)点有界交换剩余格的子变种提供。在超序列的框架中给出了允许剪切消除的Gentzen系统。建立了具有格约简[0,1]的代数的完备性UL<\/jats:bold>和几个使用两部分策略的扩展。首先,证明了用Takeuti和Titani密度规则扩展的逻辑的完备性。然后使用超连续演算给出了规则的语法消除。作为一个代数推论,它得出了某些类型的剩余格是由其成员用格约简[0,1]生成的<\/jats:p>“,”DOI“:”10.2178\/jsl\/1191333844“,”type“:”journal-article“,”created“:{”date-parts“:[[2007,12,19]],”date-time“:”2007-12-19T11:25:04Z“,”timestamp“:1198063504000},”page“:“834-864”,“source”:“Crossref”,“is-referenced-by-count”:114,“title”:[“Substructural fuzzy logics”],“prefix”:“10.1017”,“volume”:“72”,“作者”:[{“给定”:“乔治”,“家庭”:“Metcalfe“,”sequence“:”first“,”affiliation“:[]},{”given“:”Franco“,”family“:”Montagna“,”sequence“:”additional“,”filiation”:[]{“,”member“:”56“,”published-online“:{”date-parts“:[[2014,3,12]},”reference“:[{”key“:“S0022481200005107_ref006”,”doi-asserted-by“:“publisher”,“doi”:“10.1007\/s00153-006-0011-5“}”,{“密钥”:“S0022481200005107_ref016”,“首页“:”900“,”卷“:”48“,”作者“:”Pottinger“,”年份“:”1983“,”日志标题“:”T,S4和S5的统一、无裁剪公式(摘要)“},{“key”:“S0022481200005107_ref003”,“首页”:“315\u2013332”,“article-title”:“基于单体T范数逻辑的分析计算”,“卷”:“59”,“author”:“Baaz”,”年份:“2004”,“日志标题”:“”Fundamenta Informaticae“},{“key”:“S0022481200005107_ref011”,“doi-asserted-by”:“publisher”,”doi“:”10.1007\/978-94-011-5300-3“}”,{”key“:”S002248.1200005107_ ref001“,”首页“:”939\u2013951“,”卷“:”52“,”作者“:”Avron“,”年份“1987”,”期刊标题“:”RM的建设性分析“}_ref002“,”doi-asserted-by“:”publisher“,“DOI“:”10.1007\/BF01531058“},{“key”:“S0022481200005107_ref004”,“first page”:”187\u2013201“,“volume-title”:“CSL 2000会议记录”,“author”:“Baaz”,”year“:”2000“}“,{”key“:7_ref005“,”首页“:”441\u2013453“,”文章标题“:”基于T范数的n收缩逻辑,“volume”:“12”,“author”:“Ciabattoni”,“year”:“2002”,“journal-title”:“Neural Network World”},{“key”:”S0022481200005107_ref007“,”doi-asserted-by“:”publisher“,“doi”:“10.1016\/S0377-2217(98)00325-7“},”{“key”:\/S0165-0114(01)00098-7“},{“键”:”S0022481200005107_ref010”,“doi断言者”:“publisher”,“doi”:“10.1007\\s0153-007-0047-1”},{“key”:“S0022481200005107_ref012”,“doi断言者”:“publisher”,“doi”:“10.1023\\A:105122331293”},{“key”:“S0022481200005107_ref013”,“doi断言者”:“publisher”,“doi”:“10.1007\\s0153-004-0225-3”},{“key”:“S0022481200005107_ref013”f017”,“卷标题”:“子结构逻辑导论”,“author”:“Restall”,“year”:“1999”},{“key”:“S0022481200005107_ref019”,“first page”:”437\u2013461“,“article-title”:“The structure of residuated latches”,“volume”:《13》,“author”:“Tsinakis”,“年份”:“2003”,“journal title”:《International journal of Algebra and Computation》},“key“:”S0022481 200005107_ ref020“,”doi-asserted-by“:”publisher“,”doi“:”10.1016\/0165-0114(95)00133-6“},{“key”:“S0022481200005107_ref014”,“doi-assert-by”:“publisher”,“doi”:“10.1145\/1071596.1071600”},“key“:”S002248.1200005107_ ref018“,”首页“:”851\u2013866“,”卷“:”49“,”作者“:”Takeuti“,“年份”:“1984”,“日志标题“:”直觉模糊逻辑和直觉模糊集理论“},{”key“:”S0022481200005107_ref015“,”first page“:“169\u2013201”,“volume”:“50”,“author”:“Ono”,“year”:“1985”,“journal title”:“Logics without the construction rule”}],“container-title”:[“journal of Symbolic logic”],“original-title“:[],“language”:“en”,“link”:[{“URL”:“https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200005107“,“content-type”:“unspecified”,“content-version”:“vor”,“intended-application”:“similarity-checking”}],“deposed”:{“date-parts”:[[2019,5,1]],“date-time”:”2019-05-01T17:20:53Z“,“timestamp”:1556731253000},“score”:1,“resource”:{“primary”:{“URL”:“https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200005107\/type\/journal_article“}},“副标题”:[],“短标题”:[],“已发布”:{“日期-部分”:[[2007,9]]},”references-count“:20,”journal-issue“:{”issue“:“3”,“published-print”:{“日期-部件”:[2007,9]}}、“alternative-id”:[“S0022481120000”5107“],”URL“:”http:\/\/dx.doi.org\/10.2178\/jsl\/1191333844“,”关系“:{},”ISSN“:[”0022-4812“,”1943-5886“],”ISSN-type“:[{”值“:”0022-48012“,“type”:“print”},{”价值“:”1943-58“,”类型“:”电子“}],”主题“:[],”发布“:{”日期段“:[2007,9]]}}}}