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Small Sweeping 2NFAs Are Not Closed Under Complement

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Automata, Languages and Programming (ICALP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4051))

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Abstract

A two-way nondeterministic finite automaton is sweeping (snfa) if its input head can change direction only on the end-markers. For every n, we exhibit a language that can be recognized by an n-state snfa but requires \(2^{\varOmega(n)}\) states on every snfa recognizing its complement.

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References

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© 2006 Springer-Verlag Berlin Heidelberg

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Kapoutsis, C.A. (2006). Small Sweeping 2NFAs Are Not Closed Under Complement. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds) Automata, Languages and Programming. ICALP 2006. Lecture Notes in Computer Science, vol 4051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11786986_14

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  • DOI: https://doi.org/10.1007/11786986_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35904-3

  • Online ISBN: 978-3-540-35905-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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