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Multihead finite state automata am concatenation

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 140))

Abstract

The following results are shown :

  1. (1)

    The class of languages accepted by the one-way nondeterministic simple k-head finite automata ℒ(NSPk-HFA) is not closed under concatenation for any k≥2.

  2. (2)

    The class Uk ℒ(NSPk-HFA) is closed under concatenation.

  3. (3)

    The class of languages recognized by one-way k-head deterministic finite state automata ℒ(1DFA(k)) and the class of languages recognized by one-way k-head deterministic sensing finite state automata ℒ(1DSeFA(k)) are not closed under concatenation, Kleene star and reversal.

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References

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Mogens Nielsen Erik Meineche Schmidt

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© 1982 Springer-Verlag Berlin Heidelberg

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Ďuriš, P., Hromkovič, J. (1982). Multihead finite state automata am concatenation. In: Nielsen, M., Schmidt, E.M. (eds) Automata, Languages and Programming. ICALP 1982. Lecture Notes in Computer Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012767

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  • DOI: https://doi.org/10.1007/BFb0012767

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11576-2

  • Online ISBN: 978-3-540-39308-5

  • eBook Packages: Springer Book Archive

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