文章基本信息

标题：State Complexity of Testing Divisibility
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作者：Emilie Charlier ; Narad Rampersad ; Michel Rigo 等
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2010
卷号：31
页码：48-57
DOI：10.4204/EPTCS.31.7
出版社：Open Publishing Association
摘要：Under some mild assumptions, we study the state complexity of the trim minimal automaton accepting the greedy representations of the multiples of m >= 2 for a wide class of linear numeration systems. As an example, the number of states of the trim minimal automaton accepting the greedy representations of the multiples of m in the Fibonacci system is exactly 2m^2.