Some properties of k-neighborhood Template A-type two-dimensional bounded cellular acceptors

Authors
Makoto Nagatomo, Makoto Sakamoto, Hikaru Susaki, Tuo Zhang, Satoshi Ikeda, Hiroshi Furutani, Tsutomu Ito, Takao Ito, Yasuo Uchida, Tsunehiro Yoshinaga
Corresponding Author
Makoto Nagatomo
Available Online 1 March 2016.
DOI
https://doi.org/10.2991/jrnal.2016.2.4.14
Keywords
configuration-reader, converter, four-dimension, neighbor, space-bounded, Turing machine
Abstract
In this paper, we investigate multi-dimensional computational model, k-neighborhood template A-type three-dimensional bounded cellular acceptor on four-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 four-dimensional tape to three-dimensional configuration. The latter determines whether or not the derived three-dimensional configuration is accepted, and concludes the acceptance or non-acceptance of given four-dimensional tape. We mainly investigate some open problems about k-neighborhood template A-type three-dimensional bounded cellular acceptor on four-dimensional tapes whose configuration-readers are L(m) space-bounded deterministic (nondeterministic) three-dimensional Turing machines.

Copyright
© 2013, 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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