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- Handbook of Computability Theory

- Author : E.R. Griffor
- Publsiher : Elsevier
- Release : 01 October 1999
- ISBN : 9780080533049
- Pages : 724 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Handbook of Computability Theory written by E.R. Griffor which was release on 01 October 1999, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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 little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.

- Author : E.R. Griffor
- Publisher : Elsevier
- Release Date : 1999-10-01
- Total pages : 724
- ISBN : 9780080533049

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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 ...

- Author : S. Barry Cooper
- Publisher : CRC Press
- Release Date : 2017-09-06
- Total pages : 420
- ISBN : 9780080533049

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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 ...

- Author : Herbert B. Enderton
- Publisher : Academic Press
- Release Date : 2010-12-30
- Total pages : 192
- ISBN : 9780080533049

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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 ...

- Author : Peter Cholak,Steffen Lempp,Manuel Lerman,Richard A. Shore
- Publisher : American Mathematical Soc.
- Release Date : 2000
- Total pages : 320
- ISBN : 9780080533049

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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 ...

- Author : Borut Robič
- Publisher : Springer Nature
- Release Date : 2020-11-13
- Total pages : 422
- ISBN : 9780080533049

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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 ...

- Author : Robert E. Butts,Jaakko Hintikka
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- Total pages : 416
- ISBN : 9780080533049

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**Summary :** The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and ...

- Author : Ningning Peng,Kazuyuki Tanaka,Liang Yu,Guohua Wu
- Publisher : World Scientific
- Release Date : 2022-05-18
- Total pages : 194
- ISBN : 9780080533049

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**Summary :** This volume features the latest scientific developments in the fields of computability theory and logical foundations of mathematics as well as applications. The scope involves the topics of Computability Theory, Reverse Mathematics, Nonstandard Analysis, Proof Theory, Set Theory, Philosophy of Mathematics, Constructive Mathematics, Theory of Randomness and Computational Complexity Theory....

- Author : Steven Homer,Alan L. Selman
- Publisher : Springer Science & Business Media
- Release Date : 2011-12-09
- Total pages : 300
- ISBN : 9780080533049

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**Summary :** This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the ...

- Author : Douglas S. Bridges
- Publisher : Springer Science & Business Media
- Release Date : 1994-01-14
- Total pages : 202
- ISBN : 9780080533049

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**Summary :** Computability: A Mathematical Sketchbook is a concise, rigorous introduction to the theory of computation. Using Turing machines as models of computers, the author develops major themes of computability theory, culminating in a systematic account of Blum's abstract complexity measures. One of the book's unique aspects is the inclusion of a ...

- Author : Paul E. Dunne
- Publisher : Prentice Hall
- Release Date : 1991
- Total pages : 168
- ISBN : 9780080533049

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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....

- Author : John Longley,Dag Normann
- Publisher : Springer
- Release Date : 2015-11-06
- Total pages : 571
- ISBN : 9780080533049

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**Summary :** This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions ...

- Author : Neil D. Jones
- Publisher : Unknown
- Release Date : 1973
- Total pages : 180
- ISBN : 9780080533049

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**Summary :** Download or read online Computability Theory an Introduction written by Neil D. Jones, published by which was released on 1973. Get Computability Theory an Introduction Books now! Available in PDF, ePub and Kindle....

- Author : B. Jack Copeland,Carl J. Posy,Oron Shagrir
- Publisher : MIT Press
- Release Date : 2015-01-30
- Total pages : 376
- ISBN : 9780080533049

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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 ...

- Author : S Barry Cooper,Andrea Sorbi
- Publisher : World Scientific
- Release Date : 2011-02-25
- Total pages : 420
- ISBN : 9780080533049

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**Summary :** Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address ...

- Author : Melvin Fitting
- Publisher : Oxford University Press, USA
- Release Date : 1987
- Total pages : 226
- ISBN : 9780080533049

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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 ...