A Basis For Theoretical Computer Science
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A Basis For Theoretical Computer Science
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Author : M.A. Arbib
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Basis For Theoretical Computer Science written by M.A. Arbib and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Computer science seeks to provide a scientific basis for the study of inform a tion processing, the solution of problems by algorithms, and the design and programming of computers. The last forty years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the development of mathematical techniques to allow the rigorous specification of program, process, and machine. The present volume is one of a series, The AKM Series in Theoretical Computer Science, designed to make key mathe matical developments in computer science readily accessible to under graduate and beginning graduate students. Specifically, this volume takes readers with little or no mathematical background beyond high school algebra, and gives them a taste of a number of topics in theoretical computer science while laying the mathematical foundation for the later, more detailed, study of such topics as formal language theory, computability theory, programming language semantics, and the study of program verification and correctness. Chapter 1 introduces the basic concepts of set theory, with special emphasis on functions and relations, using a simple algorithm to provide motivation. Chapter 2 presents the notion of inductive proof and gives the reader a good grasp on one of the most important notions of computer science: the recursive definition of functions and data structures.
Theoretical Computer Science
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Author : Juraj Hromkovič
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-18
Theoretical Computer Science written by Juraj Hromkovič and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-18 with Computers categories.
Juraj Hromkovic takes the reader on an elegant route through the theoretical fundamentals of computer science. The author shows that theoretical computer science is a fascinating discipline, full of spectacular contributions and miracles. The book also presents the development of the computer scientist's way of thinking as well as fundamental concepts such as approximation and randomization in algorithmics, and the basic ideas of cryptography and interconnection network design.
Computability Complexity And Languages
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Author : Martin Davis
language : en
Publisher: Elsevier
Release Date : 1994-03-18
Computability Complexity And Languages written by Martin Davis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-18 with Mathematics categories.
Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. The number of exercises included has more than tripled. Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.
Theoretical Foundations Of Computer Science
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Author : Dino Mandrioli
language : en
Publisher:
Release Date : 1987
Theoretical Foundations Of Computer Science written by Dino Mandrioli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computer science categories.
This text discusses the basic concepts of theoretical computer science (formal languages, automata theory and the theory of computability) and shows their application to current programming practice. It emphasizes the practical use of theory in current, everyday programming practice and covers classical topics, semi-classical topics and less classical topics. All of the basic topics of theoretical computer science are covered at an advanced undergraduate level and topics for more advanced study are marked.
New Topics In Theoretical Computer Science
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Author : Oleg N. Terikhovsky
language : en
Publisher: Nova Publishers
Release Date : 2008
New Topics In Theoretical Computer Science written by Oleg N. Terikhovsky and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
Theoretical computer science focuses on the more abstract, logical and mathematical aspects of computing, such as the theory of computation, analysis of algorithms and semantics of programming languages. This new book presents the latest research in the field from around the globe.
First Order Programming Theories
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Author : Tamas Gergely
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
First Order Programming Theories written by Tamas Gergely and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This work presents a purely classical first-order logical approach to the field of study in theoretical computer science sometimes referred to as the theory of programs, or programming theory. This field essentially attempts to provide a precise mathematical basis for the common activities involved in reasoning about computer programs and programming languages, and it also attempts to find practical applications in the areas of program specification, verification and programming language design. Many different approaches with different mathematical frameworks have been proposed as a basis for programming theory. They differ in the mathe matical machinery they use to define and investigate programs and program properties and they also differ in the concepts they deal with to understand the programming paradigm. Different approaches use different tools and viewpoints to characterize the data environment of programs. Most of the approaches are related to mathe matical logic and they provide their own logic. These logics, however, are very eclectic since they use special entities to reflect a special world of programs, and also, they are usually incomparable with each other. This Babel's mess irritated us and we decided to peel off the eclectic com ponents and try to answer all the questions by using classical first-order logic.
Models Of Computation
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Author : Roberto Bruni
language : en
Publisher: Springer
Release Date : 2017-04-03
Models Of Computation written by Roberto Bruni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-03 with Computers categories.
This book presents in their basic form the most important models of computation, their basic programming paradigms, and their mathematical descriptions, both concrete and abstract. Each model is accompanied by relevant formal techniques for reasoning on it and for proving some properties. After preliminary chapters that introduce the notions of structure and meaning, semantic methods, inference rules, and logic programming, the authors arrange their chapters into parts on IMP, a simple imperative language; HOFL, a higher-order functional language; concurrent, nondeterministic and interactive models; and probabilistic/stochastic models. The authors have class-tested the book content over many years, and it will be valuable for graduate and advanced undergraduate students of theoretical computer science and distributed systems, and for researchers in this domain. Each chapter of the book concludes with a list of exercises addressing the key techniques introduced, solutions to selected exercises are offered at the end of the book.
Current Trends In Theoretical Computer Science
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Author : Grzegorz Rozenberg
language : en
Publisher: World Scientific
Release Date : 1993
Current Trends In Theoretical Computer Science written by Grzegorz Rozenberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
The book is a very up-to-date collection of articles in theoretical computer science, written by leading authorities in the field. The topics range from algorithms and complexity to algebraic specifications, and from formal languages and language-theoretic modeling to computational geometry. The material is based on columns and articles that have appeared in the EATCS Bulletin during the past two to three years. Although very recent research is discussed, the largely informal style of writing makes the book accessible to readers with little or no previous knowledge of the topics.
People Ideas In Theoretical Computer Science
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Author : Cristian Calude
language : en
Publisher: Springer Verlag Singapour
Release Date : 1999
People Ideas In Theoretical Computer Science written by Cristian Calude and has been published by Springer Verlag Singapour this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
Theory and theoreticians have played a major role in computer science. Many insights into the nature of efficient computations were gained and theory was crucial for some of the most celebrated engineering triumphs of computer science (e.g., in compiler design, databases, multitask operating systems, to name just a few). Theoretical computer science (TCS) functions as a communication bridge between computer science and other subjects, notably, mathematics, linguistics, biology; it is a champion in developing unconventional models of computation (DNA, quantum). This book collects personal accounts and reflections of fourteen eminent scientists who have dedicated themselves to the craft of TCS. Contributions focus on authors specific interests, experiences, and reminiscences. The emerging picture, which is just one among other possible ones, should be a catalyst for further developments and continuations. Was most interested to learn about the project, which should be a worthwhile one." N. Chomsky, MIT. "The human story of creativity is inspiring and documents a very noble activity - the creation of knowledge in its most beautiful and useful form - the creation of a science. Supplying the technical and intellectual tools to probe some of the most fascinating questions about the nature of thought and intelligence, theoretical computer science is trying to grasp the limits of rational thought, the limits of knowable. This book will contribute to the understanding of the creation of a magnificent science." J. Hartmanis, NSF. "This is obviously an extremely worthwhile project." D. E. Knuth, Stanford University.
Developments In Theoretical Computer Science
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Author : J. Dassow
language : en
Publisher: CRC Press
Release Date : 1994-10-07
Developments In Theoretical Computer Science written by J. Dassow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-07 with Mathematics categories.