Shifts with decidable language and non-computable entropy
2008 ◽
Vol Vol. 10 no. 3
(Automata, Logic and Semantics)
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Keyword(s):
The One
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Automata, Logic and Semantics International audience We consider subshifts of the full shift of all binary bi-infinite sequences. On the one hand, the topological entropy of any subshift with computably co-enumerable language is a right-computable real number between 0 and 1. We show that, on the other hand, any right-computable real number between 0 and 1, whether computable or not, is the entropy of some subshift with even polynomial time decidable language. In addition, we show that computability of the entropy of a subshift does not imply any kind of computability of the language of the subshift
2016 ◽
Vol 56
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pp. 269-327
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Keyword(s):
Keyword(s):
2014 ◽
Vol DMTCS Proceedings vol. AT,...
(Proceedings)
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