具有下Wythoff序列的整数的加性结构

IF 0.3 4区 数学 Q1 Arts and Humanities
Mohsen Khani, Afshin Zarei
{"title":"具有下Wythoff序列的整数的加性结构","authors":"Mohsen Khani,&nbsp;Afshin Zarei","doi":"10.1007/s00153-022-00846-2","DOIUrl":null,"url":null,"abstract":"<div><p>We have provided a model-theoretic proof for the decidability of the additive structure of integers together with the function <i>f</i> mapping <i>x</i> to <span>\\(\\lfloor \\varphi x\\rfloor \\)</span> where <span>\\(\\varphi \\)</span> is the golden ratio.\n\n\n\n</p></div>","PeriodicalId":48853,"journal":{"name":"Archive for Mathematical Logic","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00153-022-00846-2.pdf","citationCount":"2","resultStr":"{\"title\":\"The additive structure of integers with the lower Wythoff sequence\",\"authors\":\"Mohsen Khani,&nbsp;Afshin Zarei\",\"doi\":\"10.1007/s00153-022-00846-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We have provided a model-theoretic proof for the decidability of the additive structure of integers together with the function <i>f</i> mapping <i>x</i> to <span>\\\\(\\\\lfloor \\\\varphi x\\\\rfloor \\\\)</span> where <span>\\\\(\\\\varphi \\\\)</span> is the golden ratio.\\n\\n\\n\\n</p></div>\",\"PeriodicalId\":48853,\"journal\":{\"name\":\"Archive for Mathematical Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00153-022-00846-2.pdf\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive for Mathematical Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00153-022-00846-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive for Mathematical Logic","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00153-022-00846-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
引用次数: 2

摘要

我们给出了整数加性结构的可决性的一个模型理论证明,并给出了x映射到\(\lfloor \varphi x\rfloor \)的函数f,其中\(\varphi \)是黄金比例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The additive structure of integers with the lower Wythoff sequence

We have provided a model-theoretic proof for the decidability of the additive structure of integers together with the function f mapping x to \(\lfloor \varphi x\rfloor \) where \(\varphi \) is the golden ratio.

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
Archive for Mathematical Logic
Archive for Mathematical Logic MATHEMATICS-LOGIC
CiteScore
0.80
自引率
0.00%
发文量
45
审稿时长
6-12 weeks
期刊介绍: The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.
×
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