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arXiv · 1412.6767

Representation of (Left) Ideal Regular Languages by Synchronizing Automata

Marina Maslennikova·Emanuele Rodaro
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Abstract

We follow language theoretic approach to synchronizing automata and \v{C}ern\'{y}'s conjecture initiated in a series of recent papers. We find a precise lower bound for the reset complexity of a principal ideal languages. Also we show a strict connection between principal left ideals and synchronizing automata. We characterize regular languages whose minimal deterministic finite automaton is synchronizing and possesses a reset word belonging to the recognized language.

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Marina Maslennikova, Emanuele Rodaro. 2014-12-21. Representation of (Left) Ideal Regular Languages by Synchronizing Automata. https://arxiv.org/abs/1412.6767

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