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» Computability of Countable Subshifts
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CIE
2010
Springer
14 years 10 months ago
Computability of Countable Subshifts
We investigate the computability of countable subshifts in one dimension, and their members. Subshifts of Cantor-Bendixson rank one contain only eventually periodic elements. Any ...
Douglas A. Cenzer, S. Ali Dashti, Ferit Toska, Seb...
CIE
2007
Springer
15 years 3 months ago
Sofic Trace Subshift of a Cellular Automaton
The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram. In this paper we study conditions for a sofic subshift t...
Julien Cervelle, Enrico Formenti, Pierre Guillon
MFCS
2007
Springer
15 years 5 months ago
Towards a Rice Theorem on Traces of Cellular Automata
The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram. We prove the undecidability of a rather large class of p...
Julien Cervelle, Pierre Guillon
90
Voted
CSR
2010
Springer
15 years 3 months ago
Zigzags in Turing Machines
We study one-head machines through symbolic and topological dynamics. In particular, a subshift is associated to the subshift, and we are interested in its complexity in terms of r...
Anahí Gajardo, Pierre Guillon
87
Voted
DLT
2009
14 years 9 months ago
Subshifts, Languages and Logic
We study the Monadic Second Order (MSO) Hierarchy over infinite pictures, that is tilings. We give a characterization of existential MSO in terms of tilings and projections of tili...
Emmanuel Jeandel, Guillaume Theyssier