Computable symbolic dynamics

نویسندگان

  • Douglas A. Cenzer
  • S. Ali Dashti
  • Jonathan L. F. King
چکیده

We investigate computable subshifts and the connection with effective symbolic dynamics. It is shown that a decidable Π1 class P is a subshift if and only if there is a computable function F mapping 2N to 2N such that P is the set of itineraries of elements of 2N. Π1 subshifts are constructed in 2N and in 2Z which have no computable elements. We also consider the symbolic dynamics of maps on the unit interval.

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عنوان ژورنال:
  • Math. Log. Q.

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2008