Titlebook: Developments in Language Theory; 21st International C émilie Charlier,Julien Leroy,Michel Rigo Conference proceedings 2017 Springer Interna

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Undecidability and Finite AutomataUsing a novel rewriting problem, we show that several natural decision problems about finite automata are undecidable (i.e., recursively unsolvable). In contrast, we also prove three related problems are decidable. We apply one result to prove the undecidability of a related problem about .-automatic sets of rational numbers.

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émilie Charlier,Julien Leroy,Michel RigoIncludes supplementary material:

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978-3-319-62808-0Springer International Publishing AG 2017

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Kontext und Wirkung von Suggestionene classical results on two-player zero-sum games and then on multi-player non zero-sum games. The simple case of one-player games is strongly related to automata theory on infinite words. All along the article, we focus on general approaches to solve the studied problems, and we provide several illu

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Indirekte Induktion und Kommunikationntations of integers. We discuss many results expressing the number of binomial coefficients . with a given .-adic valuation in terms of the number of occurrences of a given word in the base-. representation of ., beginning with a result of Glaisher from 1899, up through recent results by Spiegelhof

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