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  • 标题:An Order on Sets of Tilings Corresponding to an Order on Languages
  • 本地全文:下载
  • 作者:Nathalie Aubrun ; Mathieu Sablik
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2009
  • 卷号:3
  • 页码:99-110
  • DOI:10.4230/LIPIcs.STACS.2009.1833
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Traditionally a tiling is defined with a finite number of finite forbidden patterns. We can generalize this notion considering any set of patterns. Generalized tilings defined in this way can be studied with a dynamical point of view, leading to the notion of subshift. In this article we establish a correspondence between an order on subshifts based on dynamical transformations on them and an order on languages of forbidden patterns based on computability properties.
  • 关键词:Tiling; Subshift; Turing machine with oracle; Subdynamics
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