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An Order on Sets of Tilings Corresponding to an Order on Languages (0902.1602v1)
Published 10 Feb 2009 in cs.DM
Abstract: 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.