Elements Of The Theory Of Computation

Author : Arindama Singh
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 50,8 Mb
Release : 2009-04-30
Category : Computers
ISBN : 9781848824973

Get Book

Elements of Computation Theory by Arindama Singh Pdf

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 argue about, and to predict the behavior of algorithms and computation. The topics chosen here have shown remarkable persistence over the years and are very much in current use.

Author : Michael Sipser
Publisher : Thomson/Course Technology
Page : 437 pages
File Size : 41,7 Mb
Release : 2006
Category : Computational complexity
ISBN : 0619217642

Get Book

Introduction to the Theory of Computation by Michael Sipser Pdf

"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.

Author : Harry R. Lewis,Christos H. Papadimitriou
Publisher : Pearson
Page : 392 pages
File Size : 48,5 Mb
Release : 1998
Category : Computers
ISBN : UOM:39015041315519

Get Book

Elements of the Theory of Computation by Harry R. Lewis,Christos H. Papadimitriou Pdf

Appropriate for senior and graduate level courses in Computer Science Theory, Automata, and Theory of Computation. This is the long awaited Second Edition of Lewis and Papadimitriou's best-selling theory of computation text. In this substantially modified edition, the authors have enhanced the clarity of their presentation by making the material more accessible to a broader undergraduate audience with no special mathematical experience.

Author : George Tourlakis
Publisher : John Wiley & Sons
Page : 410 pages
File Size : 40,8 Mb
Release : 2014-08-21
Category : Mathematics
ISBN : 9781118315354

Get Book

Theory of Computation by George Tourlakis Pdf

Learn the skills and acquire the intuition to assess the theoretical limitations of computer programming Offering an accessible approach to the topic, Theory of Computation focuses on the metatheory of computing and the theoretical boundaries between what various computational models can do and not do—from the most general model, the URM (Unbounded Register Machines), to the finite automaton. A wealth of programming-like examples and easy-to-follow explanations build the general theory gradually, which guides readers through the modeling and mathematical analysis of computational phenomena and provides insights on what makes things tick and also what restrains the ability of computational processes. Recognizing the importance of acquired practical experience, the book begins with the metatheory of general purpose computer programs, using URMs as a straightforward, technology-independent model of modern high-level programming languages while also exploring the restrictions of the URM language. Once readers gain an understanding of computability theory—including the primitive recursive functions—the author presents automata and languages, covering the regular and context-free languages as well as the machines that recognize these languages. Several advanced topics such as reducibilities, the recursion theorem, complexity theory, and Cook's theorem are also discussed. Features of the book include: A review of basic discrete mathematics, covering logic and induction while omitting specialized combinatorial topics A thorough development of the modeling and mathematical analysis of computational phenomena, providing a solid foundation of un-computability The connection between un-computability and un-provability: Gödel's first incompleteness theorem The book provides numerous examples of specific URMs as well as other programming languages including Loop Programs, FA (Deterministic Finite Automata), NFA (Nondeterministic Finite Automata), and PDA (Pushdown Automata). Exercises at the end of each chapter allow readers to test their comprehension of the presented material, and an extensive bibliography suggests resources for further study. Assuming only a basic understanding of general computer programming and discrete mathematics, Theory of Computation serves as a valuable book for courses on theory of computation at the upper-undergraduate level. The book also serves as an excellent resource for programmers and computing professionals wishing to understand the theoretical limitations of their craft.

Author : S.P.Eugene Xavier
Publisher : New Age International
Page : 35 pages
File Size : 52,5 Mb
Release : 2005
Category : Computational complexity
ISBN : 9788122416558

Get Book

Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus) by S.P.Eugene Xavier Pdf

This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 54,6 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264

Get Book

Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Author : Leonid Libkin
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 47,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662070031

Get Book

Elements of Finite Model Theory by Leonid Libkin Pdf

Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.

Author : Marc Mézard,Andrea Montanari
Publisher : Oxford University Press
Page : 584 pages
File Size : 53,7 Mb
Release : 2009-01-22
Category : Computers
ISBN : 9780198570837

Get Book

Information, Physics, and Computation by Marc Mézard,Andrea Montanari Pdf

A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.

Author : John MacCormick
Publisher : Princeton University Press
Page : 404 pages
File Size : 45,6 Mb
Release : 2018-05-01
Category : Computers
ISBN : 9780691170664

Get Book

What Can Be Computed? by John MacCormick Pdf

An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com

Author : I. St Doltsinis
Publisher : WIT Press
Page : 321 pages
File Size : 54,8 Mb
Release : 2010
Category : Technology & Engineering
ISBN : 9781845644284

Get Book

Elements of Plasticity by I. St Doltsinis Pdf

Providing the essential theoretical framework for understanding elastoplastic behaviour, this text develops the subject of small strain elastoplasticity from classical theory to modern computational techniques.

Author : Harry R. Lewis
Publisher : Unknown
Page : 128 pages
File Size : 40,7 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:861476695

Get Book

Elements of the Theory of Computation by Harry R. Lewis Pdf

Author : Raymond Greenlaw,H. James Hoover
Publisher : Morgan Kaufmann
Page : 356 pages
File Size : 43,9 Mb
Release : 1998-05
Category : Computers
ISBN : 9781558604742

Get Book

Fundamentals of the Theory of Computation by Raymond Greenlaw,H. James Hoover Pdf

This innovative textbook presents the key foundational concepts for a one-semester undergraduate course in the theory of computation. It offers the most accessible and motivational course material available for undergraduate computer theory classes. Directed at undergraduates who may have difficulty understanding the relevance of the course to their future careers, the text helps make them more comfortable with the techniques required for the deeper study of computer science. The text motivates students by clarifying complex theory with many examples, exercises and detailed proofs.

Author : Michael Sipser
Publisher : Cengage Learning
Page : 504 pages
File Size : 49,9 Mb
Release : 2012-06-27
Category : Computers
ISBN : 113318779X

Get Book

Introduction to the Theory of Computation by Michael Sipser Pdf

Now you can clearly present even the most complex computational theory topics to your students with Sipser’s distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today’s computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser’s well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition’s refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject’s rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E’s comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author : Thomas M. Cover,Joy A. Thomas
Publisher : John Wiley & Sons
Page : 788 pages
File Size : 48,7 Mb
Release : 2012-11-28
Category : Computers
ISBN : 9781118585771

Get Book

Elements of Information Theory by Thomas M. Cover,Joy A. Thomas Pdf

The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.

Author : Seiki Akama
Publisher : Springer
Page : 126 pages
File Size : 43,6 Mb
Release : 2014-07-14
Category : Computers
ISBN : 9783319082844

Get Book

Elements of Quantum Computing by Seiki Akama Pdf

A quantum computer is a computer based on a computational model which uses quantum mechanics, which is a subfield of physics to study phenomena at the micro level. There has been a growing interest on quantum computing in the 1990's and some quantum computers at the experimental level were recently implemented. Quantum computers enable super-speed computation and can solve some important problems whose solutions were regarded impossible or intractable with traditional computers. This book provides a quick introduction to quantum computing for readers who have no backgrounds of both theory of computation and quantum mechanics. “Elements of Quantum Computing” presents the history, theories and engineering applications of quantum computing. The book is suitable to computer scientists, physicists and software engineers.