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arXiv · 1904.09133

Preservation of normality by transducers

Olivier Carton·Elisa Orduna
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Abstract

We consider input-deterministic finite state transducers with infinite inputs and infinite outputs, and we consider the property of Borel normality on infinite words. When these transducers are given by a strongly connected set of states, and when the input is a Borel normal sequence, the output is an infinite word such that every word has a frequency given by a weighted automaton over the rationals. We prove that there is an algorithm that decides in cubic time whether an input-deterministic transducer preserves normality.

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Olivier Carton, Elisa Orduna. 2019-04-19. Preservation of normality by transducers. https://arxiv.org/abs/1904.09133

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