Theory of Automata
eBook - PDF

Theory of Automata

  1. 276 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

Theory of Automata deals with mathematical aspects of the theory of automata theory, with emphasis on the finite deterministic automaton as the basic model. All other models, such as finite non-deterministic and probabilistic automata as well as pushdown and linear bounded automata, are treated as generalizations of this basic model. The formalism chosen to describe finite deterministic automata is that of regular expressions. A detailed exposition regarding this formalism is presented by considering the algebra of regular expressions. This volume is comprised of four chapters and begins with a discussion on finite deterministic automata, paying particular attention to regular and finite languages; analysis and synthesis theorems; equivalence relations induced by languages; sequential machines; sequential functions and relations; definite languages and non-initial automata; and two-way automata. The next chapter describes finite non-deterministic and probabilistic automata and covers theorems concerning stochastic languages; non-regular stochastic languages; and probabilistic sequential machines. The book then introduces the reader to the algebra of regular expressions before concluding with a chapter on formal languages and generalized automata. Theoretical exercises are included, along with ""problems"" at the end of some sections. This monograph will be a useful resource for beginning graduate or advanced undergraduates of mathematics.

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Yes, you can access Theory of Automata by Arto Salomaa, I. N. Sneddon,M. Stark,J. P. Kahane in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Theory of Automata
  3. Copyright Page
  4. Dedication
  5. Table of Contents
  6. Preface
  7. Acknowledgements
  8. Note to the Reader
  9. CHAPTER I. FINITE DETERMINISTIC AUTOMATA
  10. CHAPTER II. FINITE NON-DETERMINISTIC AND PROBABILISTIC AUTOMATA
  11. CHAPTER III. ALGEBRA OF REGULAR EXPRESSIONS
  12. CHAPTER IV. FORMAL LANGUAGES AND GENERALIZED AUTOMATA
  13. Historical and Bibliographical Remarks
  14. References
  15. Symbol Index
  16. Author Index
  17. Subject Index