Finite automata and unary languages
Theoretical Computer Science
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Two-way unary automata versus logarithmic space
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DCFS'11 Proceedings of the 13th international conference on Descriptional complexity of formal systems
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LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
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ACM Transactions on Database Systems (TODS)
Fundamenta Informaticae - MFCS & CSL 2010 Satellite Workshops: Selected Papers
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We point out a subtle error in the proof of Chrobak's theorem that every unary NFA can be represented as a union of arithmetic progressions that is at most quadratically large. We propose a correction for this and show how Martinez's polynomial time algorithm, which realizes Chrobak's theorem, can be made correct accordingly. We also show that Martinez's algorithm cannot be improved to have logarithmic space, unless L = NL.