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Computer Science - Theoretical Computer Science | Automata and Computability

Automata and Computability

Kozen, Dexter C.

1997, XIII, 400 p.

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Students who already have some experience with elementary discrete mathematics will find this a well-paced first course in automata and computability.

The aim of this textbook is to provide undergraduate students with an introduction to the basic theoretical models of computability, and to develop their understanding of some of the model's rich and varied structure.

As well as comprehensive coverage of the essentials of the subject, a number of supplementary chapters introduce more advanced concepts, enabling students to broaden their knowledge of the subject.

The first part of the book is devoted to finite automata and their properties. Then, material on pushdown automata provides analysis of a broader class of models and enables the analysis of context-free languages.

In the remaining chapters, Turing machines are introduced and the book culminates in discussions of effective computability, decidability, and Gödel's incompleteness theorems.

Plenty of exercises are provided, ranging from the easy to the challenging. As a result, this text will make an ideal first course for students of computer science.

Content Level » Lower undergraduate

Keywords » Notation - Turing machine - algorithm - algorithms - automata - computability - grammars - regular expressions

Related subjects » Theoretical Computer Science

Table of contents 

Introduction * Finite Automata and Regular Sets * Pushdown Automata and Context-Free Languages * Turing Machines and Effective Computability * Homework Sets * Miscellaneous Exercises * Hints and Solutions

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