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- W2963282767 abstract "A set of integers is $S$-recognizable in an abstract numeration system $S$ if the language made up of the representations of its elements is accepted by a finite automaton. For abstract numeration systems built over bounded languages with at least three letters, we show that multiplication by an integer $lambdage2$ does not preserve $S$-recognizability, meaning that there always exists a $S$-recognizable set $X$ such that $lambda X$ is not $S$-recognizable. The main tool is a bijection between the representation of an integer over a bounded language and its decomposition as a sum of binomial coefficients with certain properties, the so-called combinatorial numeration system." @default.
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- W2963282767 date "2008-08-08" @default.
- W2963282767 modified "2023-09-23" @default.
- W2963282767 title "Abstract numeration systems on bounded languages and multiplication by a constant" @default.
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