On behaviour of automata in labyrinths

On behaviour of automata in labyrinths Discrete Maih. AppL, Vol.3, No. 1, pp, 1-28 (1993) © VSP 1993. V. B. KUDRYAVTSEV, SH. USHCHUMLICH and G. KILIBARDA Abstract -- This article reviews over 80 works on the behaviour of automata systems in labyrinths which have appeared in the last two decades. Main concepts, problems, results, methods for solving problems and problems to be solved are selected. In a number of cases the main statements are given in a stronger form compared to their original formulations. This article also contains some new results on the problem of searching labyrinths by automata. 1. INTRODUCTION In recent years, the growing attention of researchers is attracted by the problems connected with automata analysis of images, graphs, formal languages and other discrete systems. In all, over a hundred papers on these subjects have already been published. One of the first papers of this trend is the work by Shannon [55], where he actually touches upon the problem of searching a certain target in a labyrinth by a mouseautomaton. This work determined the range of problems of the trend in question for the years to follow. The study of computer systems with external memory in the form of a plane or http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Discrete Mathematics and Applications de Gruyter

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Publisher
de Gruyter
Copyright
Copyright © 2009 Walter de Gruyter
ISSN
0924-9265
eISSN
1569-3929
DOI
10.1515/dma.1993.3.1.1
Publisher site
See Article on Publisher Site

Abstract

Discrete Maih. AppL, Vol.3, No. 1, pp, 1-28 (1993) © VSP 1993. V. B. KUDRYAVTSEV, SH. USHCHUMLICH and G. KILIBARDA Abstract -- This article reviews over 80 works on the behaviour of automata systems in labyrinths which have appeared in the last two decades. Main concepts, problems, results, methods for solving problems and problems to be solved are selected. In a number of cases the main statements are given in a stronger form compared to their original formulations. This article also contains some new results on the problem of searching labyrinths by automata. 1. INTRODUCTION In recent years, the growing attention of researchers is attracted by the problems connected with automata analysis of images, graphs, formal languages and other discrete systems. In all, over a hundred papers on these subjects have already been published. One of the first papers of this trend is the work by Shannon [55], where he actually touches upon the problem of searching a certain target in a labyrinth by a mouseautomaton. This work determined the range of problems of the trend in question for the years to follow. The study of computer systems with external memory in the form of a plane or

Journal

Discrete Mathematics and Applicationsde Gruyter

Published: Jan 1, 1993

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