Abstract. It is well known that one-dimensional cellular automata working on the usual neighborhood are Turing complete, and many acceleration theorems are known. However very litt...
In this paper we study language recognition by two-dimensional cellular automata on different possible neighborhoods. Since it is known that all complete neighborhoods are linearl...
Abstract. We consider simulations of graph automata. We introduce two local transformations on the neighborhood: splitting and merging. We explain how to use such transformations, ...
The purpose of this article is to describe a way to simulate any 3-dimensional cellular automaton with a 2-dimensional cellular automaton. We will present the problems that arise w...