{"title":"Symmetrical one-dimensional cellular spaces","authors":"Helge Szwerinski","doi":"10.1016/S0019-9958(85)80033-4","DOIUrl":null,"url":null,"abstract":"<div><p>It is shown that every one-dimensional cellular space with von Neumann neighborhood (each cell connected to its two immediate neighbors) can be simulated in real-time by a cellular space with a symmetrical local transition function with the same neighborhood, and starting with the same configuration. Symmetrical means that the individual cells cannot distinguish between left and right.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":"67 1","pages":"Pages 163-172"},"PeriodicalIF":0.0000,"publicationDate":"1985-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(85)80033-4","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995885800334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 15
Abstract
It is shown that every one-dimensional cellular space with von Neumann neighborhood (each cell connected to its two immediate neighbors) can be simulated in real-time by a cellular space with a symmetrical local transition function with the same neighborhood, and starting with the same configuration. Symmetrical means that the individual cells cannot distinguish between left and right.
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