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arXiv · 2208.11768

A profinite approach to complete bifix decodings of recurrent languages

Alfredo Costa
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Abstract

We approach the study of complete bifix decodings of (uniformly) recurrent languages with the help of the free profinite monoid. We show that the complete bifix decoding of a uniformly recurrent language $F$ by an $F$-charged rational complete bifix code is uniformly recurrent. An analogous result is obtained for recurrent languages.

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Alfredo Costa. 2023-04-19. A profinite approach to complete bifix decodings of recurrent languages. https://doi.org/10.1515/forum-2022-0246

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