Introduction to the Theory of Computation, Second Edition

by Course Technology

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Label:Course Technology
Pages:456
Binding:Hardcover
Publication Date:2005-02-15
Published By:Course Technology
ASIN:0534950973
Category:Book

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Editorial Reviews and Product Descriptions

Product Description

This highly anticipated revision builds upon the strengths of the previous edition. Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.
Amazon.com

"Intended as an upper-level undergraduate or introductory graduate text in computer science theory," this book lucidly covers the key concepts and theorems of the theory of computation. The presentation is remarkably clear; for example, the "proof idea," which offers the reader an intuitive feel for how the proof was constructed, accompanies many of the theorems and a proof. Introduction to the Theory of Computation covers the usual topics for this type of text plus it features a solid section on complexity theory--including an entire chapter on space complexity. The final chapter introduces more advanced topics, such as the discussion of complexity classes associated with probabilistic algorithms.

Customer Reviews

Excellent presentation of the material - Reviewed on 2008-03-01
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I would recommend this book to anyone looking to learn the basics of computation theory and formal languages or for someone looking to revisit this material after an absence.

The book is very readable and covers the basics in a systematic fashion. I haven't looked at this material since my university days, but found it very easy to read and digest.
A very nice book for undergraduates and graduates to understand computation theory. - Reviewed on 2008-02-16
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I had read a few other books on automata, but I was not able to get clear notion about pumping lemmas, decidability and so on. However, when I read the 1st edition of this book, finally, I got those concepts. One of great things in this book is proof ideas. This book has very clear and concise explanations about proofs.
I bought 2nd edition of this book, since it has lots of solved problems and exercises. those solved problems will boost your understanding the text and they contains a few things you should know, but omitted in the text.
If you don't understand many concepts in automata and computability with other textbooks, I strongly recommend this book.
Don't be afraid of the proofs - Reviewed on 2007-11-13
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This is a great book. The topics are covered in a clear and interesting way. I came to this book after having been exposed to NFA's and DFA's in a compiler course and this exposition is much more enlightening. The proofs in this book are very well written in my opinion, very clear. Studying proof techniques in a book such as Solow's "How to Read and Do Proofs" will prepare you well to understand the proofs in this book.
dont buy this version - Reviewed on 2007-10-28
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4 customers found this review helpful, 3 did not.

Go buy an international version which is a lot cheaper than this, and they have the same contents. This version is also printed in Black and White and the paper is really cheap. Don't make a mistake like me buying same product for 90$ more. Again, the only difference between hardcover and softcover(international ver) is the price.
My choice for textbook in my computation theory class - Reviewed on 2007-10-01
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2 customers found this review helpful.

I recently encountered this book at a publisher's booth at a computer conference and read it on the ride back home. This morning I made a trip to the college bookstore and notified them that it is the textbook that I will be using in my computation theory class this spring.
The chapter titles are:

0) Introduction - this chapter contains the fundamental mathematical background of sets, functions, graphs and proofs. For most students, it could be skipped or skimmed.
1) Regular languages - this chapter is an introduction to deterministic and nondeterministic finite automata and regular expressions.
2) Context-free languages - an introduction to context-free grammars and pushdown automata.
3) The Church-Turing theses - an introduction to Turing machines and the variants, such as multiple tapes and nondeterministic Turing machines.
4) Decidability - the definition of decidability and how Turing machines and finite automata are used to prove or disprove if a language is decidable.
5) Reducibility - the definition of reducible and how Turing machines can be used to execute reductions.
6) The recursion theorem - an introduction to the recursion theorem and some applications to formal theories.
7) Time complexity - the first chapter in the coverage of algorithmic complexity, in this case execution time.
8) Space complexity - an examination of the complexity of algorithms from the perspective of the amount of memory required.
9) Intractability - an examination of the problems that can be solved in principle but not in practice.
10) Advanced topics in complexity theory - approximation algorithms, probabilistic algorithms, alternation, interactive proof systems, parallel computation and cryptography.

There is less coverage of grammars than most books, which is replaced by more in the area of algorithmic analysis. In my opinion, that is an appropriate tradeoff, the analysis of algorithms gives the students some understanding of how automata are applied in computer science.
Another excellent feature of this book is the solutions to selected exercises that appear at the end of the chapters. My estimate is that reasonably detailed solutions to approximately one-third of the problems are included. This allows the students to work extra problems by themselves, and helps the instructor if they are asked to do another example in class that they have not already worked through.
The exposition is very good; I am convinced that the students will be able to read the material on their own, which is one more reason why I adopted this book for my course.
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