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Titlebook: Elements of Computation Theory; Arindama Singh Textbook 2009 Springer-Verlag London 2009 Algorithms.Computability.Computation.Formal Langu

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书目名称Elements of Computation Theory
编辑Arindama Singh
视频video
概述A comprehensive and up-to-date treatment of all the essential topics in formal languages, automata, computability, and complexity.Each chapter contains examples, exercises, summaries, and bibliographi
丛书名称Texts in Computer Science
图书封面Titlebook: Elements of Computation Theory;  Arindama Singh Textbook 2009 Springer-Verlag London 2009 Algorithms.Computability.Computation.Formal Langu
描述The foundation of computer science is built upon the following questions: What is an algorithm? What can be computed and what cannot be computed? What does it mean for a function to be computable? How does computational power depend upon programming constructs? Which algorithms can be considered feasible? For more than 70 years, computer scientists are searching for answers to such qu- tions. Their ingenious techniques used in answering these questions form the theory of computation. Theory of computation deals with the most fundamental ideas of computer s- ence in an abstract but easily understood form. The notions and techniques employed are widely spread across various topics and are found in almost every branch of c- puter science. It has thus become more than a necessity to revisit the foundation, learn the techniques, and apply them with con?dence. Overview and Goals This book is about this solid, beautiful, and pervasive foundation of computer s- ence. It introduces the fundamental notions, models, techniques, and results that form the basic paradigms of computing. It gives an introduction to the concepts and mathematics that computer scientists of our day use to model, to a
出版日期Textbook 2009
关键词Algorithms; Computability; Computation; Formal Languages; Text; automata; complexity; formal language
版次1
doihttps://doi.org/10.1007/978-1-84882-497-3
isbn_softcover978-1-4471-6142-4
isbn_ebook978-1-84882-497-3Series ISSN 1868-0941 Series E-ISSN 1868-095X
issn_series 1868-0941
copyrightSpringer-Verlag London 2009
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Equivalences,king about the same class of languages? The examples in the last chapter, at least, suggest that they might. In this chapter, we will see that it is indeed so. We will say, informally, that two mechanisms are . if they accept the same class of languages. In fact, we solve many subproblems to arrive
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Structure of CFLs,nguage is context-free and there are context-free languages that are not regular. For example, the language . = {.: . ε N} is context-free but it is not regular. Here you can see that somehow the automaton must remember how many .’s it has read, and then it has to consume .’s one after another match
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Algorithmic Solvability,een how versatile the Turing machines are. They seem to be the most general kind of computing devices in the sense that all known algorithms can be realized as Turing machines. Quoting various approaches to computing models such as unrestricted grammars, λ-calculus, μ-recursive functions, Post‘s mac
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Insurer Ambiguity and Market Failure,ndeed so. We will say, informally, that two mechanisms are . if they accept the same class of languages. In fact, we solve many subproblems to arrive at these equivalences. Our route is from NFA to DFA, from DFA to regular grammar, from regular grammar to NFA, from regular expression to NFA, and finally, from NFA to regular expression.
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