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• W152759110 startingPage "259" @default.
• W152759110 abstract "A sequence w over a finite alphabet A is generated by a uniform automaton if there exists an automaton labelled on {0,…,k − 1} for some k > 1 and recognizing for each output a in A the set of positions of a in w expressed in base k. Automatic sequences are generated by finite automata. By considering pushdown automata instead of finite ones, we generate exactly the context-free sequences. We distinguish the sub-families of unambiguous, deterministic, real-time deterministic context-free sequences associated with the corresponding families of pushdown automata. We study the closure under shift, product, morphisms, inverse substitutions and various extractions of these four families of context-free sequences. Additionally, we show that only using multiplicatively dependent bases yields the same set of context-free sequences." @default.
• W152759110 created "2016-06-24" @default.
• W152759110 creator A5002050713 @default.
• W152759110 creator A5066674664 @default.
• W152759110 date "2014-01-01" @default.
• W152759110 modified "2023-09-25" @default.
• W152759110 title "Context-Free Sequences" @default.
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• W152759110 doi "https://doi.org/10.1007/978-3-319-10882-7_16" @default.
• W152759110 hasPublicationYear "2014" @default.
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