Undecidability and Finite Automata
Using a novel rewriting problem, we show that several natural decision problems about finite automata are undecidable (i.e., recursively unsolvable). In contrast, we also prove three related problems are decidable. We apply one result to prove the undecidability of a related problem about k-automatic sets of rational numbers.
KeywordsFinite automata Undecidability Conjugate Power
We thank Hendrik Jan Hoogeboom and the referees for their helpful comments.
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