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k-Neighborhood Template A-Type Three-Dimensional Bounded Cellular Acceptor

Authors: Yasuo Uchida, Makoto Sakamoto, Makoto Nagatomo, Takao Ito, Tsunehiro Yoshinaga, Satoshi Ikeda, Masahiro Yokomichi, Hiroshi Furutani, Tuo Zhang, Tatsuma Kurogi


This paper presents a four-dimensional computational model, k-neighborhood template A-type three-dimensional bounded cellular acceptor (abbreviated as A-3BCA(k)), and discusses the hierarchical properties. An A-3BCA(k) is a four-dimensional automaton which consists of a pair of a converter and a configuration-reader. The former converts the given four-dimensional tape to the three- and two- dimensional configuration and the latter determines the acceptance or nonacceptance of given four-dimensional tape whether or not the derived two-dimensional configuration is accepted. We mainly investigate the difference of the accepting power based on the difference of the configuration-reader. It is shown that the difference of the accepting power of the configuration-reader tends to affect directly that of the A-3BCA(k) for the case when the converter is deterministic. On the other hand, results are not analogous for the nondeterministic case.

Keywords: Turing Machine, converter, four-dimension, Cellular acceptor, configuration-reader, finite automaton, on-line tessellation acceptor, parallel/sequential array acceptor

Digital Object Identifier (DOI):

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