{"title":"具有下Wythoff序列的整数的加性结构","authors":"Mohsen Khani, 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, 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}
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.
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.
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