Representation of (Left) Ideal Regular Languages by Synchronizing Automata [article]

Marina Maslennikova, Emanuele Rodaro
<span title="2014-12-21">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We follow language theoretic approach to synchronizing automata and Černý'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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