On Synchronizing Unambiguous Automata

On Synchronizing Unambiguous Automata
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关于同步明确自动机

DOI:
10.1016/0304-3975(88)90114-4
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发表时间:
1988
影响因子:
1.1
通讯作者:
A. Carpi
A. Carpi
中科院分区:
计算机科学4区
文献类型:
--
作者:
A. Carpi

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本文给出了一个过渡幺半群不含空关系的可迁n态无二义性自动机中最小秩最短字长度的多项式上界。特别地,在n状态同步明确自动化中,存在长度小于1 2 n 3的同步字。
We give a polynomial upper bound for the length of the shortest word of minimal rank in a transitive n-state unambiguous automation whose transition monoid does not contain the null relation. In particular, in an n-state synchronizing unambiguous automation there is a synchronizing word of length less than 1 2 n 3.