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Parallel Turing machines on four-dimensional input tapes

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Abstract

The parallel Turing machine (PTM) proposed by Wiedermann is a set of identical usual sequential Turing machines (STMs) cooperating on two common tapes: storage tape and input tape. On the other hand, due to the advances in many application areas such as motion picture processing, computer animation, virtual reality systems, and so forth, it has become increasingly apparent that the study of four-dimensional patterns is of crucial importance. Therefore, we think that the study of four-dimensional automata as a computational model of four-dimensional pattern processing is also meaningful. In this article, we propose a four-dimensional parallel Turing machine (4-PTM), and investigate some of its properties based on hardware complexity.

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Authors and Affiliations

  1. Department of Business Administration, Ube National College of Technology, 2-14-1 Tokiwadai, Ube, 755-8555, Japan

    Takao Ito & Yasuo Uchida

  2. Department of Computer Science and Systems Engineering, University of Miyazaki, Miyazaki, Japan

    Makoto Sakamoto, Ayumi Taniue, Tomoya Matsukawa, Hiroshi Furutani & Michio Kono

Authors
  1. Takao Ito
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  2. Makoto Sakamoto
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  3. Ayumi Taniue
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  4. Tomoya Matsukawa
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  5. Yasuo Uchida
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  6. Hiroshi Furutani
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  7. Michio Kono
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Corresponding author

Correspondence to Takao Ito.

Additional information

This work was presented in part at the 15th International Symposium on Artificial Life and Robotics, Oita, Japan, February 4–6, 2010

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Ito, T., Sakamoto, M., Taniue, A. et al. Parallel Turing machines on four-dimensional input tapes. Artif Life Robotics 15, 212–215 (2010). https://doi.org/10.1007/s10015-010-0798-3

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  • DOI: https://doi.org/10.1007/s10015-010-0798-3

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