Computability Theory

Written By S. Barry Cooper
Computability Theory
  • Publsiher : CRC Press
  • Release : 06 September 2017
  • ISBN : 1351991965
  • Pages : 420 pages
  • Rating : /5 from reviews
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Download or read book entitled Computability Theory by author: S. Barry Cooper which was release on 06 September 2017 and published by CRC Press with total page 420 pages . This book available in PDF, EPUB and Kindle Format. Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences. Written by a leading researcher, Computability Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The book includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable and lively way.

Computability Theory

Computability Theory
  • Author : S. Barry Cooper
  • Publisher : CRC Press
  • Release Date : 2017-09-06
  • Total pages : 420
  • ISBN : 1351991965
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Summary : Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability ...

Computability Theory

Computability Theory
  • Author : Herbert B. Enderton
  • Publisher : Academic Press
  • Release Date : 2010-12-30
  • Total pages : 192
  • ISBN : 1351991965
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Summary : Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the ...

Computability Theory

Computability Theory
  • Author : Paul E. Dunne
  • Publisher : Prentice Hall
  • Release Date : 1991
  • Total pages : 150
  • ISBN : 1351991965
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Summary : A review of computability theory which determines problems that cannot be solved by existing computer programs. The book concentrates on the presentation of basic concepts as opposed to the formal mathematical aspects....

Computability Theory

Computability Theory
  • Author : Rebecca Weber
  • Publisher : American Mathematical Soc.
  • Release Date : 2012
  • Total pages : 203
  • ISBN : 1351991965
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Summary : What can we compute--even with unlimited resources? Is everything within reach? Or are computations necessarily drastically limited, not just in practice, but theoretically? These questions are at the heart of computability theory. The goal of this book is to give the reader a firm grounding in the fundamentals of computability ...

Computability

Computability
  • Author : Nigel Cutland
  • Publisher : Cambridge University Press
  • Release Date : 1980-06-19
  • Total pages : 251
  • ISBN : 1351991965
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Summary : What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way....

Computability Theory

Computability Theory
  • Author : Neil D. Jones
  • Publisher : Academic Press
  • Release Date : 2014-06-20
  • Total pages : 168
  • ISBN : 1351991965
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Summary : Computability Theory: An Introduction provides information pertinent to the major concepts, constructions, and theorems of the elementary theory of computability of recursive functions. This book provides mathematical evidence for the validity of the Church–Turing thesis. Organized into six chapters, this book begins with an overview of the concept of ...

Turing Computability

Turing Computability
  • Author : Robert I. Soare
  • Publisher : Springer
  • Release Date : 2016-06-20
  • Total pages : 263
  • ISBN : 1351991965
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Summary : Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results ...

The Foundations of Computability Theory

The Foundations of Computability Theory
  • Author : Borut Robič
  • Publisher : Unknown
  • Release Date : 2020
  • Total pages : 422
  • ISBN : 1351991965
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Summary : 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 ...

Computability Theory and Its Applications

Computability Theory and Its Applications
  • Author : Peter Cholak,Steffen Lempp,Manuel Lerman,Richard A. Shore
  • Publisher : American Mathematical Soc.
  • Release Date : 2000
  • Total pages : 320
  • ISBN : 1351991965
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Summary : This collection of articles presents a snapshot of the status of computability theory at the end of the millennium and a list of fruitful directions for future research. The papers represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM Joint Summer Conference on Computability ...

Models of Computation

Models of Computation
  • Author : Maribel Fernandez
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-04-14
  • Total pages : 184
  • ISBN : 1351991965
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Summary : A Concise Introduction to Computation Models and Computability Theory provides an introduction to the essential concepts in computability, using several models of computation, from the standard Turing Machines and Recursive Functions, to the modern computation models inspired by quantum physics. An in-depth analysis of the basic concepts underlying each model ...

Handbook of Computability Theory

Handbook of Computability Theory
  • Author : E.R. Griffor
  • Publisher : Elsevier
  • Release Date : 1999-10-01
  • Total pages : 724
  • ISBN : 1351991965
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Summary : The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very ...

Theories of Computability

Theories of Computability
  • Author : Nicholas Pippenger
  • Publisher : Cambridge University Press
  • Release Date : 1997-05-28
  • Total pages : 251
  • ISBN : 1351991965
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Summary : A mathematically sophisticated introduction to Turing's theory, Boolean functions, automata, and formal languages....

Computability

Computability
  • Author : B. Jack Copeland,Carl J. Posy,Oron Shagrir
  • Publisher : Mit Press
  • Release Date : 2015
  • Total pages : 362
  • ISBN : 1351991965
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Summary : Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations ...

Computability Theory Semantics and Logic Programming

Computability Theory  Semantics  and Logic Programming
  • Author : Melvin Fitting,Department of Mathematics and Computer Science Lehman College Melvin Fitting
  • Publisher : Oxford University Press, USA
  • Release Date : 1987
  • Total pages : 198
  • ISBN : 1351991965
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Summary : This book describes computability theory and provides an extensive treatment of data structures and program correctness. It makes accessible some of the author's work on generalized recursion theory, particularly the material on the logic programming language PROLOG, which is currently of great interest. Fitting considers the relation of PROLOG logic ...

A Simple Programming Approach to Basic Computability Theory

A Simple Programming Approach to Basic Computability Theory
  • Author : Dennis P Gelier
  • Publisher : Unknown
  • Release Date : 1971
  • Total pages : 212
  • ISBN : 1351991965
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Summary : Read online A Simple Programming Approach to Basic Computability Theory written by Dennis P Gelier, published by which was released on 1971. Download full A Simple Programming Approach to Basic Computability Theory Books now! Available in PDF, ePub and Kindle....