Computability Complexity And Languages
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Computability Complexity And Languages
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Author : Martin D. Davis
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Computability Complexity And Languages written by Martin D. Davis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Reference categories.
Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science provides an introduction to the various aspects of theoretical computer science. Theoretical computer science is the mathematical study of models of computation. This text is composed of five parts encompassing 17 chapters, and begins with an introduction to the use of proofs in mathematics and the development of computability theory in the context of an extremely simple abstract programming language. The succeeding parts demonstrate the performance of abstract programming language using a macro expansion technique, along with presentations of the regular and context-free languages. Other parts deal with the aspects of logic that are important for computer science and the important theory of computational complexity, as well as the theory of NP-completeness. The closing part introduces the advanced recursion and polynomial-time computability theories, including the priority constructions for recursively enumerable Turing degrees. This book is intended primarily for undergraduate and graduate mathematics students.
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.
The Foundations Of Computability Theory
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Author : Borut Robič
language : en
Publisher: Springer Nature
Release Date : 2020-11-13
The Foundations Of Computability Theory written by Borut Robič and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Computers categories.
This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism. In Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability. In Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. Finally, in the new Part IV the author revisits the computability (Church-Turing) thesis in greater detail. He offers a systematic and detailed account of its origins, evolution, and meaning, he describes more powerful, modern versions of the thesis, and he discusses recent speculative proposals for new computing paradigms such as hypercomputing. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science. This new edition is completely revised, with almost one hundred pages of new material. In particular the author applied more up-to-date, more consistent terminology, and he addressed some notational redundancies and minor errors. He developed a glossary relating to computability theory, expanded the bibliographic references with new entries, and added the new part described above and other new sections.
New Developments In Formal Languages And Applications
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Author : Gemma Bel-Enguix
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-11
New Developments In Formal Languages And Applications written by Gemma Bel-Enguix 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 2008-04-11 with Mathematics categories.
The theory of formal languages is widely accepted as the backbone of t- oretical computer science. It mainly originated from mathematics (com- natorics, algebra, mathematical logic) and generative linguistics. Later, new specializations emerged from areas ofeither computer science(concurrent and distributed systems, computer graphics, arti?cial life), biology (plant devel- ment, molecular genetics), linguistics (parsing, text searching), or mathem- ics (cryptography). All human problem solving capabilities can be considered, in a certain sense, as a manipulation of symbols and structures composed by symbols, which is actually the stem of formal language theory. Language – in its two basic forms, natural and arti?cial – is a particular case of a symbol system. This wide range of motivations and inspirations explains the diverse - plicability of formal language theory ? and all these together explain the very large number of monographs and collective volumes dealing with formal language theory. In 2004 Springer-Verlag published the volume Formal Languages and - plications, edited by C. Martín-Vide, V. Mitrana and G. P?un in the series Studies in Fuzziness and Soft Computing 148, which was aimed at serving as an overall course-aid and self-study material especially for PhD students in formal language theory and applications. Actually, the volume emerged in such a context: it contains the core information from many of the lectures - livered to the students of the International PhD School in Formal Languages and Applications organized since 2002 by the Research Group on Mathem- ical Linguistics from Rovira i Virgili University, Tarragona, Spain.
Recent Advances In Formal Languages And Applications
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Author : Zoltán Ésik
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-07
Recent Advances In Formal Languages And Applications written by Zoltán Ésik 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 2006-07-07 with Computers categories.
The contributors present the main results and techniques of their specialties in an easily accessible way accompanied with many references: historical, hints for complete proofs or solutions to exercises and directions for further research. This volume contains applications which have not appeared in any collection of this type. The book is a general source of information in computation theory, at the undergraduate and research level.
Computation Physics And Beyond
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Author : Michael J. Dinneen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-17
Computation Physics And Beyond written by Michael J. Dinneen 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 2012-01-17 with Computers categories.
This Festschrift volume has been published in honor of Cristian Calude on the occasion of his 60th birthday and contains contributions from invited speakers and regular papers presented at the International Workshop on Theoretical Computer Science, WTCS 2012, held in Auckland, New Zealand, in February 2012. Cristian Calude has made a significant contribution to research in computer science theory. Along with early work by Chaitin, Kučera, Kurtz, Solovay, and Terwijn his papers published in the mid-1990s jointly with Khoussainov, Hertling, and Wang laid the foundation for the development of modern theory of algorithmic randomness. His work was essential for establishing the leading role of New Zealand in this area. The research interests of Cristian Calude are reflected in the topics covered by the 32 papers included in this book, namely: algorithmic information theory, algorithms, automata and formal languages, computing and natural sciences, computability and applications, logic and applications, philosophy of computation, physics and computation, and unconventional models of computation. They have been organized into four parts. The first part consists of papers discussing his life achievements. This is followed by papers in the three general areas of complexity, computability, and randomness; physics, philosophy (and logic), and computation; and algorithms, automata, and formal models (including unconventional computing).
Handbook Of Formal Languages
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Author : Grzegorz Rozenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Handbook Of Formal Languages written by Grzegorz Rozenberg 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.
The need for a comprehensive survey-type exposition on formal languages and related mainstream areas of computer science has been evident for some years. If! the early 1970s, when the book Formal Languages by the second quite feasible to write a comprehensive mentioned editor appeared, it was still book with that title and include also topics of current research interest. This would not be possible anymore. A standard-sized book on formal languages would either have to stay on a fairly low level or else be specialized and restricted to some narrow sector of the field. The setup becomes drastically different in a collection of contributions, where the best authorities in the world join forces, each of them concentrat ing on their own areas of specialization. The present three-volume Handbook constitutes such a unique collection. In these three volumes we present the current state of the art in formal language theory. We were most satisfied with the enthusiastic response given to our request for contributions by specialists representing various subfields. The need for a Handbook of Formal Languages was in many answers expressed in different ways: as an easily accessible his torical reference, a general source of information, an overall course-aid, and a compact collection of material for self-study. We are convinced that the final result will satisfy such various needs. The theory of formal languages constitutes the stem or backbone of the field of science now generally known as theoretical computer science.
Volume 5 Algebraic And Logical Structures
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Author : S. Abramsky
language : en
Publisher: OUP Oxford
Release Date : 2001-01-25
Volume 5 Algebraic And Logical Structures written by S. Abramsky and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-25 with Computers categories.
This handbook volume covers fundamental topics of semantics in logic and computation. The chapters (some monographic in length), were written following years of co-ordination and follow a thematic point of view. The volume brings the reader up to front line research, and is indispensable to any serious worker in the areas.
Handbook Of Discrete And Combinatorial Mathematics
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Author : Kenneth H. Rosen
language : en
Publisher: CRC Press
Release Date : 1999-09-28
Handbook Of Discrete And Combinatorial Mathematics written by Kenneth H. Rosen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-28 with Mathematics categories.
The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineering, and the biological sciences grows dramatically. Providing a ready reference for practitioners in the field, the Handbook of Discrete and Combinatorial Mathematics, Second Edition presents additional material on Google's matrix, random graphs, geometric graphs, computational topology, and other key topics. New chapters highlight essential background information on bioinformatics and computational geometry. Each chapter includes a glossary, definitions, facts, examples, algorithms, major applications, and references.
The Oxford Handbook Of Computational Linguistics
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Author : Ruslan Mitkov
language : en
Publisher: Oxford University Press
Release Date : 2004
The Oxford Handbook Of Computational Linguistics written by Ruslan Mitkov and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
This handbook of computational linguistics, written for academics, graduate students and researchers, provides a state-of-the-art reference to one of the most active and productive fields in linguistics.