Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
In this paper, two-dimensional cellular automata as one-dimensional language recognizers are considered. Following the approach of M. Delorme and J. Mazoyer to embed one-dimensiona...
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 problem of compact tables is to maximise the overlap when building a word that is to include permutations of every given words (all the words being the same length). This probl...
There are several systems consisting in an object that moves on the plane by following a given rule. It is frequently observed that these systems eventually fall into an unexplaine...
In this paper, we exhibit a strong relation between the sand automata configuration space and the cellular automata configuration space. This relation induces a compact topology f...