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Simulating Parallel Internal Column Contextual Array Grammars Using Two-Dimensional Parallel Restarting Automata with Multiple Windows

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Combinatorial Image Analysis (IWCIA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 12148))

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Abstract

The connection between picture languages and restarting automata has been established in Otto (2014). An interesting class of picture languages generated by parallel contextual array grammars was studied with application in image generation and analysis in Subramanian et al. (2008). In this paper, we introduce a variant of two dimensional restarting automata that accepts a subclass of parallel internal contextual array languages. We show that these automata can simulate parallel internal column contextual array grammars in reverse order.

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Notes

  1. 1.

    We consider \(\mathbf{A}\) is a singleton axiom set and \(B \in A\).

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Acknowledgement

Supported by NWO TOP project 612.001.852 Grey-box learning of Interfaces for Refactoring Legacy Software (GIRLS).

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Authors and Affiliations

  1. Institute for Computing and Information Sciences, Radboud University, Nijmegen, The Netherlands

    Abhisek Midya & Frits Vaandrager

  2. Department of Science and Humanities, Saveetha School of Engineering, Chennai, India

    D. G. Thomas

  3. Computer Science and Engineering, Presidency University, Bangalore, India

    Chandrima Ghosh

Authors
  1. Abhisek Midya
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  2. Frits Vaandrager
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  3. D. G. Thomas
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  4. Chandrima Ghosh
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Corresponding author

Correspondence to Abhisek Midya .

Editor information

Editors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Tibor Lukić

  2. School of Business, SUNY Fredonia, Fredonia, NY, USA

    Reneta P. Barneva

  3. SUNY Buffalo State, Buffalo, NY, USA

    Valentin E. Brimkov

  4. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Lidija Čomić

  5. Department of Information Technology, Uppsala University, Uppsala, Sweden

    Nataša Sladoje

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Midya, A., Vaandrager, F., Thomas, D.G., Ghosh, C. (2020). Simulating Parallel Internal Column Contextual Array Grammars Using Two-Dimensional Parallel Restarting Automata with Multiple Windows. In: Lukić, T., Barneva, R., Brimkov, V., Čomić, L., Sladoje, N. (eds) Combinatorial Image Analysis. IWCIA 2020. Lecture Notes in Computer Science(), vol 12148. Springer, Cham. https://doi.org/10.1007/978-3-030-51002-2_8

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  • DOI: https://doi.org/10.1007/978-3-030-51002-2_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-51001-5

  • Online ISBN: 978-3-030-51002-2

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