{“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”:[[2024,6,5]],“日期-时间”:“2024-06-05T14:19:45Z”,“时间戳”:1717597185404},“参考-计数”:30,“出版商”:“剑桥大学出版社(CUP)”,“问题”:“1”,“许可证”:[{“开始”:{'日期-部件“:[2014,3,12]],“时间“:”2014-03-12T00:00:00Z“,”时间戳“:1394582400000},“content-version”:“unspecified”,“delay-in-days”:2202,“URL”:“https:\/\/www.cambridge.org\/core\/terms”}],“content-domain”:{“domain”(域):[],“crossmark-restriction”(交叉标记限制):false},”short-container-title“:[”J.symb.log.“],”published-print“:{”date-parts“:[[2008,3]}”,“abstract”(摘要):“摘要<\/jats:title>逻辑通过广义形式的计数量词扩展一阶逻辑(u201c满足u2026的元素数量属于集合C<\/jats:italic>\u201d)。这个逻辑是针对具有\u03c9<\/jats:italic>-自动演示。如果一阶逻辑被无限量词扩展,则任何此类结构的结果理论都是可判定的[6]。结果表明,与自动结构[21]一样,模计数量词以及无限基数量词(\u201c这里有许多满足\u2026\u201d)的元素导致了可判定的理论。关于具有内射的有界度结构\u03c9<\/jats:italic>-自动呈现,片段只包含有效量词的被证明是可判定的,并给出了该判定的基本算法。两种假设(\u03c9<\/jats:italic>-自动性和有界度)是保持此结果所必需的<\/jats:p>“,”DOI“:”10.2178\/jsl\/1208358745“,”type“:”journal-article“,”created“:{”date-parts“:[[2008,10,14]],”date-time“:”2008-10-14T15:19:02Z“,”timestamp“:1223997542000},”page“:“129-150”,“source”:“Crossref”,“is-referenced-by-count”:15,“title”:[“First-order and counting theorys of\u03c9<\/i>-自动结构“],”前缀“:”10.1017“,”卷“:”73“,”作者“:[{”给定“:”迪特里希“,”家族“:”库斯克“,”序列“:”第一“,”从属“:[]},{”给出“:”马库斯“,”家庭“:”洛里“,”顺序“:”附加“,”隶属“:[]}],”成员“:”56“,”在线发布“:{”日期段“:[2014,3,12]]}“引用”:[{“key”:“S0022481200004643_ref020”,“首页”:“168”,“卷标题”:“IEEE计算机科学逻辑研讨会(LICS)论文集”,“作者”:“Khoussainov”,“年份”:“2003”},{“key”:“S0022481200004643_ref022”,“doi断言者”:“publisher”,“doi”:“10.1007\/978-3-540-39813-4_24”},{“key”:“S0022481200004643_ref018”,“doi断言者”:“publisher”,“doi”:“10.1007\/3-5640-60178-3_93”},{key“:”S0022481200004643_ref016“,”doi-asserted-by“:”publisher“,”doi“:”10.1002\/malq.200410013“},{“key”:“S0022482120004643_ref017”,“unstructured”:“Khoussainov B.,Hjorth G.,Montalban A.,and Nies A.,From automatic structures to Borel structures.2007,手稿。”}、{“密钥”:“SO002248120004643_ref027”、“volume-title”:“无限单词”,“卷”:“141“,“author”:“Perrin”,“year”:“2004”},{“key”:“S0022481200004643_ref023”,“doi-asserted-by”:“publisher”,”doi“:”10.1007 \/11690634_22“},}”key“:”S0022481 200004643_ ref024“,”doi-assert-by“:”crossref“,”volume-title“:”Algebraische Codierungtheorie“,”author“:”Lindner“,”year“:”1977“,”doi:“”10.1515\/9783112546369“},{“密钥”:“S0022481200004643_ref008”,“doi-asserted-by“:”publisher“,”doi“:”10.1016\/S0022-0000(74)80051-6“},{“key”:“S0022481200004643_ref015”,“doi-assert-by”:“publisher”,“doi”:“10.1109\/LICS.2002.1029832”},“key“:key“:”S0022481200004643_ref026“,”volume-title“:”计算复杂性“,”author“:”Papadimitriou“,”year“:”1994“},{”key“:”S0022481200004643_ref013“,”doi-asserted-by“:”publisher“,“doi”:“10.1017\/CBO9780511551574”},}“key”:“S0022482120004643_ref001”,“unstructured”:“B\u00e1r\u00e1'V.,无限结构的自动表示,博士论文,RWTH Aachen,Fakult\u00e 4t f\u00fcr Mathematik,Informatik und Naturwissenschaften,2007年。“},{”key“:”S0022481200004643_ref002“,”doi-asserted-by“:”publisher“,“,”作者“:”B\u00e8s”,“年份”:“1997”,“期刊标题”:“Biichi算术和Cobham-Semenov定理的不可判定扩展”},{“key”:“S0022481200004643_ref004”,“volume-title”:“自动结构”,“author”:“Blumensath”,“year”:“1999”}IEEE计算机科学逻辑研讨会论文集”,“作者”:“Blumensath”,“年份”:“2000”},{“密钥”:“S0022481200004643_ref028”,“首页”:“1”,“卷时间”:“ACM计算理论研讨会论文集(STOC)”,“著者”:“Stockmeyer”,“年”:“1973”}10.1016\/0304-3975(82)90042-1“},{“key”:“S0022481200004643_ref006”,“doi-asserted-by”:“publisher”,”doi“:”10.1007\/s00224-004-1133-y“}、{“密钥”:“SO02248120000460343_ref007”、“doi-sserted-by“:”publisher“,”doi:“10.1002\/malq.19600060105”},“key“:”S0022482200004643_ ref029“,”doi-assert-by“y“:”publisher“,”doi“:”10.1016\/j.ipl.2006.06.011“},{”key“:”S0022481200004643_ref010“,“doi-asserted-by”:“crossref”,“volume-title”:“组中的字处理”,“author”:“Epstein”,“year”:“1992”,“doi”:“10.1201\/9781439865699”},{“key”:“S0022481 200004643_ ref011”,《首页》:“105”,“volume-titel”:“Logic Colloquium”81 2481200004643_ref012“,”首页“:”31“,”volume-title“:“数学、数学机器及其应用基础学术讨论会(Tihany,1962)”,“作者”:“H\u00e4rtig”,“年份”:“1965”},{“键”:“S0022481200004643_ref019”,“首页”:“467”,“文章-title”:“一元字母表上自动显示的图形”,“卷”:“6”,“作家”:“库萨诺夫”,“年”:“2001”,“journal-title“:《自动化、语言和组合数学杂志》},{“key”:“S0022481200004643_ref021”,“first page”:《440》,“volume-title”:“计算机科学理论方面(STACS)研讨会论文集”,“volution”:”2996“,“author”:“Khoussainov”,“year”:“2004”},}“keys”:“SO002248120004643_ef025”,“首页”:“344”,“volume-title:”第十届程序设计、人工智能和推理逻辑国际会议论文集”,“卷”:“2850”,“作者”:“洛伊”,“年份”:“2003”},{“关键字”:“S0022481200004643_ref030”,“首页”:“133”,《卷-时间》:“理论计算机科学手册”,“作家”:“托马斯”,“年代”:“1990”}],“容器-时间”:[“符号逻辑杂志“],”original-title“:[],”language“:”en“,”link“:[{”URL“:”https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200004643“,”content-type“:”unspecified“,”content-version“:”vor“,”intended-application“:”similarity-checking“}],”deposed“:”{“date-parts”:[2023,5,20]],“date-time”:“”2023-05-2T11:57:27Z“,”时间戳“:1684583847000},”分数“:1,”资源“:{”主要“:{”URL“:”https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200004643\/type\/journal_article“}},“subtitle”:[],“shorttitle”:[],“issued”:{“date-parts”:[[2008,3]]},‘references-count’:30,‘journal-issue’:{‘issued’:“1“,”published-print“:{”date-parts“:[[2008,3]]}”},“alternative-id”:[“S0022481200004643”],“URL”:“http://\/dx.doi.org\/10.2178\/jsl\/1208358745”,“relationship”:{},“ISSN”:【“0022-4812”,“1943-5886”】,“ISSN-type”:[{“value”:“0022-48012”,”type“:”print“},{“value”:“1943-5.886”,“type”:“electronic”}],“subject”:[],“published”:{“日期部分”:[[2008,3]]}}}