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A Two-Dimensional Extension of Insertion Systems

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Theory and Practice of Natural Computing (TPNC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8890))

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Abstract

Insertion systems are extended to two-dimensional models that are used to generate picture languages. Insertion rules are defined in terms of rows and columns. Using picture-insertion rules, we herein introduce two types of derivations that depend on the position at which the rules are applied. We obtain the relationships between the classes of languages generated by picture-insertion systems for each type of derivation and a number of two-dimensional computing models, such as tiling systems. Furthermore, we introduce regular control for the derivations in picture-insertion systems. Finally, we compare the classes of languages generated by picture-insertion systems with and without regular control.

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Author information

Authors and Affiliations

  1. International College of Arts and Sciences, Fukuoka Women’s University, 1-1-1 Kasumigaoka Higashi-ku, Fukuoka, 813-8529, Japan

    Kaoru Fujioka

Authors
  1. Kaoru Fujioka
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Editors and Affiliations

  1. Research Group on Mathematical Linguistics (GRLMC), Rovira i Virgili University, Avinguda Catalunya, 35, 43002, Tarragona, Spain

    Adrian-Horia Dediu  & Carlos Martín-Vide  & 

  2. E.T.S. de Ingenierías Informática y de Telecomunicación, DECSAI, University of Granada, C/Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Manuel Lozano

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Fujioka, K. (2014). A Two-Dimensional Extension of Insertion Systems. In: Dediu, AH., Lozano, M., Martín-Vide, C. (eds) Theory and Practice of Natural Computing. TPNC 2014. Lecture Notes in Computer Science, vol 8890. Springer, Cham. https://doi.org/10.1007/978-3-319-13749-0_16

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  • DOI: https://doi.org/10.1007/978-3-319-13749-0_16

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13748-3

  • Online ISBN: 978-3-319-13749-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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