k-Neighborhood Template A-Type Two-Dimensional Bounded Cellular Acceptors

Authors
Makoto Sakamoto, Yu-an Zhang, Masamichi Hori, Haruka Tsuboi, Satoshi Ikeda, Kenji Aoki, Tsutomu Ito, Takao Ito, Yasuo Uchida, Tsunehiro Yoshinaga
Corresponding Author
Makoto Sakamoto
Available Online 31 March 2018.
DOI
https://doi.org/10.2991/jrnal.2018.4.4.3
Keywords
acceptor, configuration-reader, converter, neighbor, space-bounded, three-dimension, Turing machine.
Abstract
In this paper, we deal with three-dimensional computational model, k-neighborhood template A-type two-dimensional bounded cellular acceptor on three-dimensional tapes, and discuss some basic properties. This model consists of a pair of a converter and a configuration-reader. The former converts the given three-dimensional tape to two-dimensional configuration. The latter determines whether or not the derived two-dimensional configuration is accepted, and concludes the acceptance or non-acceptance of given three-dimensional tape. We mainly investigate some open problems about k-neighborhood template A-type two-dimensional bounded cellular acceptor on three- dimensional tapes whose configuration-readers are L(m) space-bounded deterministic (nondeterministic) two-dimensional Turing machines.

Copyright
© 2018, the Authors. Published by ALife Robotics Corp. Ltd.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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