Finite Automata and Regular Expressions

Finite Automata and Regular Expressions PDF Author: Stefan Hollos
Publisher: Abrazol Publishing
ISBN: 9781887187169
Category : Computers
Languages : en
Pages : 154

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Book Description
This is a book about solving problems related to automata and regular expressions. It helps you learn the subject in the most effective way possible, through problem solving. There are 84 problems with solutions. The introduction provides some background information on automata, regular expressions, and generating functions. The inclusion of generating functions is one of the unique features of this book. Few computer science books cover the topic of generating functions for automata and there are only a handful of combinatorics books that mention it. This is unfortunate since we believe the connection between computer science and combinatorics, that is opened up by these generating functions, can enrich both subjects and lead to new methods and applications. We cover a few interesting classes of problems for finite state automata and then show some examples of infinite state automata and recursive regular expressions. The final problem in the book involves constructing a recursive regular expression for matching regular expressions. This book explains: * Why automata are important. * The relationship of automata to regular expressions. * The difference between deterministic and nondeterministic automata. * How to get the regular expression from an automaton. * Why two seemingly different regular expressions can belong to the same automaton. * How the regular expression for an infinite automaton is different than one for a finite one. * The relationship of a regular expression to a regular language. * What a generating function for a language tells you about the language. * How to get a generating function from a regular expression. * How the generating function of a recursive regular expression is different from that of an ordinary regular expression. * How to test divisibility properties of integers (binary and decimal based) using automata. * How to construct an automaton to search for a given pattern, or for a given pattern not occurring. * How to construct an automaton for arbitrary patterns and alphabets. * How the recursive regular expression for nested parentheses leads to the Catalan numbers. Included in this book: * Divisibility problems in binary and decimal. * Pattern search problems in binary, ternary, and quaternary alphabets. * Pattern search problems for circular strings that contain or do not contain a given pattern. * Automata, regular expressions, and generating functions for gambling games. * Automata and generating functions for finite and infinite correctly nested parentheses. * The recursive regular expression for matching regular expressions over a binary alphabet. * A further reading list.

Automata Theory and Formal Languages:

Automata Theory and Formal Languages: PDF Author: Shyamalendu Kandar
Publisher: Pearson Education India
ISBN: 9332510318
Category : Formal languages
Languages : en
Pages : 377

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Book Description
The organized and accessible format of Automata Theory and Formal Languages allows students to learn important concepts in an easy-to-understand, question-and-answer format. This portable learning tool has been designed as a one-stop reference for students to understand and master the subjects by themselves.

Regular Algebra and Finite Machines

Regular Algebra and Finite Machines PDF Author: John Horton Conway
Publisher: Courier Corporation
ISBN: 0486310582
Category : Mathematics
Languages : en
Pages : 162

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Book Description
A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.

Introduction to Computer Theory

Introduction to Computer Theory PDF Author: Daniel I. A. Cohen
Publisher: John Wiley & Sons
ISBN: 0471137723
Category : Computers
Languages : en
Pages : 661

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Book Description
This text strikes a good balance between rigor and an intuitive approach to computer theory. Covers all the topics needed by computer scientists with a sometimes humorous approach that reviewers found "refreshing". It is easy to read and the coverage of mathematics is fairly simple so readers do not have to worry about proving theorems.

Beautiful Code

Beautiful Code PDF Author: Greg Wilson
Publisher: "O'Reilly Media, Inc."
ISBN: 0596554672
Category : Computers
Languages : en
Pages : 621

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Book Description
How do the experts solve difficult problems in software development? In this unique and insightful book, leading computer scientists offer case studies that reveal how they found unusual, carefully designed solutions to high-profile projects. You will be able to look over the shoulder of major coding and design experts to see problems through their eyes. This is not simply another design patterns book, or another software engineering treatise on the right and wrong way to do things. The authors think aloud as they work through their project's architecture, the tradeoffs made in its construction, and when it was important to break rules. This book contains 33 chapters contributed by Brian Kernighan, KarlFogel, Jon Bentley, Tim Bray, Elliotte Rusty Harold, Michael Feathers,Alberto Savoia, Charles Petzold, Douglas Crockford, Henry S. Warren,Jr., Ashish Gulhati, Lincoln Stein, Jim Kent, Jack Dongarra and PiotrLuszczek, Adam Kolawa, Greg Kroah-Hartman, Diomidis Spinellis, AndrewKuchling, Travis E. Oliphant, Ronald Mak, Rogerio Atem de Carvalho andRafael Monnerat, Bryan Cantrill, Jeff Dean and Sanjay Ghemawat, SimonPeyton Jones, Kent Dybvig, William Otte and Douglas C. Schmidt, AndrewPatzer, Andreas Zeller, Yukihiro Matsumoto, Arun Mehta, TV Raman,Laura Wingerd and Christopher Seiwald, and Brian Hayes. Beautiful Code is an opportunity for master coders to tell their story. All author royalties will be donated to Amnesty International.

Automata and Computability

Automata and Computability PDF Author: Dexter C. Kozen
Publisher: Springer
ISBN: 364285706X
Category : Computers
Languages : en
Pages : 399

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Book Description
These are my lecture notes from CS381/481: Automata and Computability Theory, a one-semester senior-level course I have taught at Cornell Uni versity for many years. I took this course myself in thc fall of 1974 as a first-year Ph.D. student at Cornell from Juris Hartmanis and have been in love with the subject ever sin,:e. The course is required for computer science majors at Cornell. It exists in two forms: CS481, an honors version; and CS381, a somewhat gentler paced version. The syllabus is roughly the same, but CS481 go es deeper into thc subject, covers more material, and is taught at a more abstract level. Students are encouraged to start off in one or the other, then switch within the first few weeks if they find the other version more suitaLle to their level of mathematical skill. The purpose of t.hc course is twofold: to introduce computer science students to the rieh heritage of models and abstractions that have arisen over the years; and to dew!c'p the capacity to form abstractions of their own and reason in terms of them.

The Turing Omnibus

The Turing Omnibus PDF Author: A. K. Dewdney
Publisher:
ISBN: 9780881750492
Category : Computers
Languages : en
Pages : 415

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Book Description


Introduction to Automata Theory, Languages, and Computation

Introduction to Automata Theory, Languages, and Computation PDF Author: John E. Hopcroft
Publisher:
ISBN: 9781292039053
Category : Computational complexity
Languages : en
Pages : 488

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Book Description
This classic book on formal languages, automata theory, and computational complexity has been updated to present theoretical concepts in a concise and straightforward manner with the increase of hands-on, practical applications. This new edition comes with Gradiance, an online assessment tool developed for computer science. Please note, Gradiance is no longer available with this book, as we no longer support this product.

Languages and Machines

Languages and Machines PDF Author: Thomas A. Sudkamp
Publisher: Pearson Education India
ISBN: 9788131714751
Category :
Languages : en
Pages : 676

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Book Description


Theory of Automata

Theory of Automata PDF Author: Arto Salomaa
Publisher: Elsevier
ISBN: 1483154394
Category : Reference
Languages : en
Pages : 277

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Book Description
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.