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arXiv · 2004.08801

On synchronization of partial automata

Jakub Ruszil
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Abstract

A goal of this paper is to introduce the new construction of an automaton with shortest synchronizing word of length $O(d^{\frac{n}{d}})$, where $d \in \mathbb{N}$ and $n$ is the number of states for that automaton. Additionally we introduce new transformation from any synchronizable DFA or carefully synchronizable PFA of $n$ states to carefully synchronizable PFA of $d \cdot n$ states with shortest synchronizing word of length $Ω(d^{\frac{n}{d}})$.

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Jakub Ruszil. 2020-06-22. On synchronization of partial automata. https://arxiv.org/abs/2004.08801

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