Article ID Journal Published Year Pages File Type
422159 Electronic Notes in Theoretical Computer Science 2008 11 Pages PDF
Abstract

We investigate computable subshifts and the connection with effective symbolic dynamics. It is shown that a decidable class P is a subshift if and only if there is a computable function F mapping N2 to N2 such that P is the set of itineraries of elements of N2. A subshift is constructed which has no computable element. We also consider the symbolic dynamics of maps on the unit interval.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics