Automata and Computability by Dexter C. Kozen (PDF)

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Introduction to Course Roadmap and Historical Perspective and Strings and Set, Finite Automata and Regular Sets, Pushdown Automata and Context-Free Languages,Turing Machines and Effective Computability

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book consists of lecture notes – in the old fashioned understanding of the word – that could be taken straight from the blackboard with a few expositions in between. The format has helped to keep the contents to a reasonable minimum, without the depth of the “Automata Theory, Languages, and Computation” book by Hopcroft and Ullman, but it also makes it exceptionally well suited to a course at the undergraduate / lower graduate level. A good student should be able to go through the text by her/him-self and get a good understanding of a philosophically important field within Computer Science.I signed up for a grad course and needed a refresher on this stuff. I bought Sipser’s book as an undergrad and have been going through it as well. The two sync up beautifully. The things I just wasn’t getting from Sipser’s book just kind of clicked when I read the descriptions in this book (and the other way around). If you’re having trouble with the subject I highly recommend you go get both of them.Clean, new and delivered quicklyThis textbook has been chosen as our undergraduate textbook for Foundations of Computer Science since 2000. It is a perfect book for students to review what was been taught during the lectures. The contents are divided into small sections that are easy for students to read — unlike a big book in which a single chapter can be 100 pages long. You never get frustrated reading this book!Reading this textbook is a pleasure.The chapters are based off of lectures for Kozen’s Introduction to Theory of Computation course. The writing is clear and comprehensive in its mix of intuition, formalism and examples. Good on its own, also great alongside the Sipser text.I started learning the theory of computation using Sipser’s excellent textbook. The goal of his book is to show students “the big picture” of the area by explaining the materials in an intuitive manner. However, when I was reading the first two chapters of his book (i.e. on finite automata), often times I found myself asking questions like “why does this automaton recognize that language, as Sipser claimed?”. Sometimes, Sipser gives only intuitive explanations to justify his claim, which in my opinion is not sufficient. This is when Kozen’s book comes in. Kozen’s book is rigorous, clear, and concise (as some of the previous reviewers have remarked). Everything is explained from the basic. In particular, you will see the value of structural inductions in the theory of computation, as it is used quite often to prove statements like “the automaton L recognizes the language A” and other constructive proofs in the book. The reader will also learn how abstract algebra (more precisely, monoid and semigroup theory) can be used to prove important results in the theory of computation, e.g., Parikh’s theorem and it’s consequence that context-free languages over a singleton alphabet must be regular. [As an aside, monoid theory has recently been used in the proof that the problem of determing whether two deterministic pushdown automata recognize the same language is decidable (the author of the paper was rewarded Godel’s prize). I believe that some future breakthroughs in the theory of computation will employ tools from monoid and semigroup theory.] Further, Kozen did a superb job in explaining the materials. So long as you have taken some courses on discrete mathematics and know the principle of mathematical induction, the book will be a quite an easy read. The book also has a great set of homework exercises and “miscellaneous” exercises with solutions/hints. I have to admit that some of these exercises are quite tough (but fear not, as they have hints/solutions). On the other hand, Kozen intentionally omitted any chapters on complexity theory in this book.In conclusion, if you are learning the theory of computation and love mathematical rigor (as I do), I strongly recommend this book. This book can also be used as a great supplement to Sipser’s excellent textbook.This book has been a great surprise to me. Initially I thought that in about 300 pages (excluding homeworks and exercises) I could not find all I could need for an Automata, Languages and Computation course. I was wrong, definitely. The book is coincise, but also rich and precise.The material is very well chosen, and the writing stile is directly thought with students in mind. Kozen has a pluri-annual experience in teaching at Cornell University, and it seems he has developed an effective style of communication with students, that’s perfectly reflected in his books.Some important topics are present in this book and not in both Sipser and Hopcroft-Ullman. If you need (as I did) to learn about Myhill-Nerode Relations and Theorem, this book features the best account I’ve seen (the other, much shorter, reference can be found in the first editon of Hopcroft-Ullman but not in the second one !).A nice shot of the Lambda-calculus is also featured, and this too lacks in the other two books.The organization in lectures is a very good idea when studying. Lectures are carefully cut and self-contained, so that you can organize your time using this unit, and wherever you choose to stop a study session, you always stop at correct boundary of a topics.As a further (and important) note, the notation used is very clear and elegant. As soon as you get used with it (very soon since its clarity) it becomes very stimulating. Don’t understimate this value, since many books feature too-hard-to-follow notations, or no notation at all. Both of which cases are to be avoided, INMH.I have used other books for my course, starting from both the editions of the Hopcroft and Ullman, but one way or the other I found myself always with this book (and Sipser’s) in my hands.Lecture style really helps to give the material a tempo not found in most math books. Brilliant stuff.Este libro es muy bueno, sumamente didáctico y no se olvida de la formalidad. Por ahí a veces el autor usa la misma notación para dos cosas diferentes, y aunque lo aclara bien, al principio fue confuso, creo que uno debe leer con bastante cuidado.

⭐Great textbookGreat conditions

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