零和自由交换半环上可识别级数的支持是可识别的

IF 0.3 Q4 COMPUTER SCIENCE, CYBERNETICS
D. Kirsten
{"title":"零和自由交换半环上可识别级数的支持是可识别的","authors":"D. Kirsten","doi":"10.14232/actacyb.20.2.2011.1","DOIUrl":null,"url":null,"abstract":"We show that the support of a recognizable series over a zero-sum free, commutative semiring is a recognizable language. We also give a sufficient and necessary condition for the existence of an effective transformation of a weighted automaton recognizing a series S over a zero-sum free, commutative semiring into an automaton recognizing the support of S.","PeriodicalId":42512,"journal":{"name":"Acta Cybernetica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2009-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":"{\"title\":\"The Support of a Recognizable Series over a Zero-sum Free, Commutative Semiring is Recognizable\",\"authors\":\"D. Kirsten\",\"doi\":\"10.14232/actacyb.20.2.2011.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the support of a recognizable series over a zero-sum free, commutative semiring is a recognizable language. We also give a sufficient and necessary condition for the existence of an effective transformation of a weighted automaton recognizing a series S over a zero-sum free, commutative semiring into an automaton recognizing the support of S.\",\"PeriodicalId\":42512,\"journal\":{\"name\":\"Acta Cybernetica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2009-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"21\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Cybernetica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14232/actacyb.20.2.2011.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, CYBERNETICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Cybernetica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14232/actacyb.20.2.2011.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, CYBERNETICS","Score":null,"Total":0}
引用次数: 21

摘要

我们证明了零和自由交换半环上可识别级数的支持是一种可识别的语言。并给出了在零和自由交换半环上识别序列S的加权自动机到识别S支持的自动机的有效变换的充要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Support of a Recognizable Series over a Zero-sum Free, Commutative Semiring is Recognizable
We show that the support of a recognizable series over a zero-sum free, commutative semiring is a recognizable language. We also give a sufficient and necessary condition for the existence of an effective transformation of a weighted automaton recognizing a series S over a zero-sum free, commutative semiring into an automaton recognizing the support of S.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Acta Cybernetica
Acta Cybernetica COMPUTER SCIENCE, CYBERNETICS-
CiteScore
1.10
自引率
0.00%
发文量
17
期刊介绍: Acta Cybernetica publishes only original papers in the field of Computer Science. Manuscripts must be written in good English.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信