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Regularity and Size of Set Automata

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Descriptional Complexity of Formal Systems (DCFS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8614))

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Abstract

The descriptional complexity of deterministic and nondeterministic set automata is investigated. Set automata are basically finite automata equipped with a set as an additional storage medium. The basic operations on the set are the insertion of elements, the removing of elements, and the test whether or not an element is in the set. We show that regularity is decidable for deterministic set automata and describe a conversion procedure into deterministic finite automata which leads to a double exponential upper bound. This bound is proved to be tight in the order of magnitude by presenting also a double exponential lower bound. In contrast to these recursive bounds we obtain non-recursive trade-offs when nondeterministic set automata are considered.

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References

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Author information

Authors and Affiliations

  1. Institut für Informatik, Universität Giessen, Arndtstr. 2, 35392, Giessen, Germany

    Martin Kutrib, Andreas Malcher & Matthias Wendlandt

Authors
  1. Martin Kutrib
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  2. Andreas Malcher
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  3. Matthias Wendlandt
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Editor information

Editors and Affiliations

  1. Department of Computer Science, The University of Western Ontario, N6A 5B7, London, Ontario, Canada

    Helmut Jürgensen

  2. Department of Mathematics and TUCS, University of Turku, 20014, Turku, Finland

    Juhani Karhumäki

  3. University of Turku, Fi-20014, Turku, Finland

    Alexander Okhotin

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Kutrib, M., Malcher, A., Wendlandt, M. (2014). Regularity and Size of Set Automata. In: Jürgensen, H., Karhumäki, J., Okhotin, A. (eds) Descriptional Complexity of Formal Systems. DCFS 2014. Lecture Notes in Computer Science, vol 8614. Springer, Cham. https://doi.org/10.1007/978-3-319-09704-6_25

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  • DOI: https://doi.org/10.1007/978-3-319-09704-6_25

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09703-9

  • Online ISBN: 978-3-319-09704-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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