%0 Journal Article %A Makoto Nagatomo and Yasuo Uchida and Makoto Sakamoto and Tuo Zhang and Tatsuma Kurogi and Takao Ito and Tsunehiro Yoshinaga and Satoshi Ikeda and Masahiro Yokomichi and Hiroshi Furutani %D 2015 %J International Journal of Cognitive and Language Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 103, 2015 %T k-Neighborhood Template A-Type Three-Dimensional Bounded Cellular Acceptor %U https://publications.waset.org/pdf/10004703 %V 103 %X 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. %P 1783 - 1787