Minimal DFA for testing divisibility

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摘要

We present and prove a theorem answering the question “how many states does a minimal deterministic finite automaton (DFA) recognizing the set of base-b numbers divisible by k have?”

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论文评审过程:Received 28 September 2003, Revised 21 January 2004, Available online 16 April 2004.

论文官网地址:https://doi.org/10.1016/j.jcss.2004.02.001