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S. Barry Cooper, "Computability Theory"

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.

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	Science/Engineering Computability and Logic George S. Boolos, John P. Burgess, Richard C. Jeffrey, "Computability and Logic"Cambridge University Press \| ISBN / ASIN:0521809754 \| 2002 \| 368 pages \| PDF \| 2MBThis fourth edition of one of the classic logic textbooks has been thoroughly ...
	Science/Engineering A First Course in Logic: An Introduction to Model Theory, Proof Theory, Computability, and Complexity (Oxford Texts in Logic) Publisher: Oxford University Press, USALanguage: EnglishISBN: 0198529805Paperback: 452 pagesData: August 24, 2004Format: PDFDescription: The ability to reason and think in a logical manner forms the basis of learning for most mathematics, c ...
	Programming Models of Computation: An Introduction to Computability Theory Maribel Fernández, "Models of Computation: An Introduction to Computability Theory" Springer \| 2009 \| ISBN: 1848824335, 1848824343 \| 196 pages \| PDF \| 1 MB A Concise Introduction to Computation Models and Computability Theory provides an ...
	Study Mathematical Theory and Computational Practice: 5th Conference on Computability in Europe, CiE 2009 Klaus Ambos-Spies, Benedikt Löwe, Wolfgang Merkle "Mathematical Theory and Computational Practice: 5th Conference on Computability in Europe, CiE 2009, Heidelberg, Germany, July 19-24, 2009, Proceedings ... Computer Science and General Iss ...
	Programming Computability: An Introduction to Recursive Function Theory: N. J. Cutland Computability: An Introduction to Recursive Function Theory: N. J. Cutland Cambridge University Press \| ISBN: 0521223849 \| 30 June 1980 \| PDF (OCR) \| 264 pages \| 14.63 Mb Summary: What can computers do in principle? What are their inherent ...
	Science/Engineering Theory of Recursive Functions and Effective Computability Theory of Recursive Functions and Effective ComputabilityBy Hartley RogersPublisher: The MIT Press \| 504 pages \| 1987-04-22 \| ISBN: 0262680521 \| DJVU \| 5.15 MBPreview After four decades, this is still the most popular graduate text on rec ...

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