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Rectangular Arrays and Petri Nets

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Combinatorial Image Analaysis (IWCIA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7655))

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Abstract

Array Token Petri Net Structure (ATPNS) to generate rectangular arrays has been defined in [6]. We prove that this model generate the regular array languages. By introducing a control on the firing sequence, we have shown that, ATPNS with inhibitor arcs generate the context-free and context-sensitive array languages. Comparisons with other classes of array languages have been made.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sathyabama University, Chennai, 600 119, India

    D. Lalitha

  2. Department of Mathematics, Barath University, Chennai, 600 073, India

    K. Rangarajan

  3. Department of Mathematics, Madras Christian College, Tambaram, Chennai, 600 059, India

    Durairaj Gnanaraj Thomas

Authors
  1. D. Lalitha
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  2. K. Rangarajan
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  3. Durairaj Gnanaraj Thomas
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Editor information

Editors and Affiliations

  1. Department of Computer and Information Sciences, State University of New York at Fredonia, 280 Central Ave, 14063, Fredonia, NY, USA

    Reneta P. Barneva

  2. Mathematics Department, SUNY Buffalo State College, 1300Elmwood Ave, 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  3. Department of Electrical and Computer Engineering, University of Texas at Austin, 1 University Station C0803, 78712-0240 TX, Austin, USA

    Jake K. Aggarwal

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© 2012 Springer-Verlag Berlin Heidelberg

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Lalitha, D., Rangarajan, K., Thomas, D.G. (2012). Rectangular Arrays and Petri Nets. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds) Combinatorial Image Analaysis. IWCIA 2012. Lecture Notes in Computer Science, vol 7655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34732-0_13

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  • DOI: https://doi.org/10.1007/978-3-642-34732-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34731-3

  • Online ISBN: 978-3-642-34732-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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