{"title":"A sequential solution to the density classification task using an intermediate alphabet","authors":"Pacôme Perrotin, Pedro Paulo Balbi, Eurico Ruivo","doi":"arxiv-2409.06536","DOIUrl":null,"url":null,"abstract":"We present a sequential cellular automaton of radius 2 1 as a solution to the\ndensity classification task that makes use of an intermediate alphabet, and\nconverges to a clean fixed point with no remaining auxiliary or intermediate\ninformation. We extend this solution to arbitrary finite alphabets and to\nconfigurations in higher dimensions.","PeriodicalId":501216,"journal":{"name":"arXiv - CS - Discrete Mathematics","volume":"105 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06536","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We present a sequential cellular automaton of radius 2 1 as a solution to the
density classification task that makes use of an intermediate alphabet, and
converges to a clean fixed point with no remaining auxiliary or intermediate
information. We extend this solution to arbitrary finite alphabets and to
configurations in higher dimensions.
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