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Finite Automata And Regular Expressions: Problems And Solutions
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This is a book about solving problems related to automata and regularexpressions. It helps you learn the subject in the most effective waypossible, through problem solving. There are 84 problems withsolutions.The introduction provides some background information on automata,regular expressions, and generating functions.The inclusion of generating functions is one of the unique features ofthis book. Few computer science books cover the topic of generatingfunctions for automata and there are only a handful of combinatoricsbooks that mention it. This is unfortunate since we believe theconnection between computer science and combinatorics, that is openedup by these generating functions, can enrich both subjects and lead tonew methods and applications.We cover a few interesting classes of problems for finite stateautomata and then show some examples of infinite state automata andrecursive regular expressions. The final problem in the book involvesconstructing a recursive regular expression for matching regularexpressions.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 sameautomaton.* How the regular expression for an infinite automaton is different thanone 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 isdifferent from that of an ordinary regular expression.* How to test divisibility properties of integers (binary and decimalbased) using automata.* How to construct an automaton to search for a given pattern, or for agiven pattern not occurring.* How to construct an automaton for arbitrary patterns and alphabets.* How the recursive regular expression for nested parentheses leads tothe 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 notcontain 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.

File Size: 2397 KB

Print Length: 108 pages

Simultaneous Device Usage: Unlimited

Publisher: Abrazol Publishing (August 12, 2013)

Publication Date: August 12, 2013

Sold by:  Digital Services LLC

Language: English

ASIN: B00EPWZYA0

Text-to-Speech: Enabled

X-Ray: Not Enabled

Word Wise: Not Enabled

Lending: Not Enabled

Enhanced Typesetting: Not Enabled

Best Sellers Rank: #940,467 Paid in Kindle Store (See Top 100 Paid in Kindle Store) #241 in Books > Computers & Technology > Computer Science > AI & Machine Learning > Machine Theory #16867 in Kindle Store > Kindle eBooks > Computers & Technology #369173 in Kindle Store > Kindle eBooks > Nonfiction

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