Independent systems of automata in labyrinths

We analyse the state of the art of a rather new field of automata theory—the study of behaviour of automata in labyrinths; more than a hundred publications devoted to this topic have been published. We consider key notions, problems, achievements, methods of problem solutions, and open problems in an important direction of this study, the behaviour of independent systems of automata in labyrinths. In a series of cases, we give base assertions in a more strong form and give a more general presentation than the authors of the corresponding papers do. New results are also contained in this survey.