Algebraic and Structural Automata Theory

L. Beyga, T. Gajewski, Z. Miadowlcz, P. Siwak, J. Stoklosa, J. Bergandy and B. Mikolajczak (Eds.)978-0-444-87458-0, 0444874585

Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development. The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups. Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.

---

Table of contents :
Content:
Advisory Editors
Page ii

Edited by
Page iii

Copyright page
Page iv

Introduction
Pages v-xi

Preface
Page xiii

Dedication
Page xv

0. Basic mathematical concepts
Pages 1-6

1. Automata and languages
Pages 7-34

2. Finite automata
Pages 35-82

3. Minimization of automata
Pages 83-117

4. Input subautomata
Pages 119-153

5. Automata homomorphisms
Pages 155-196

6. Realizations of automata. State assignment
Pages 197-228

7. Realizations of automata. Structures of nets
Pages 229-268

8. Time-varying automata
Pages 269-299

9. Transforms and extensions of automata
Pages 301-317

10. Periodic sums of automata
Pages 319-346

11. Linear automata
Pages 347-369

Bibliography
Pages 371-386

Index
Pages 387-402