Minimal DFAs for Testing Divisibility

Computer Science – Computational Complexity

Scientific paper

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LaTeX, 7 pages (corrected typo in new version)

Scientific paper

10.1016/j.jcss.2004.02.001

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

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