Degrees of Unsolvability

Degrees of Unsolvability PDF Author: Gerald E. Sacks
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 196

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Book Description
The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.

Degrees of Unsolvability

Degrees of Unsolvability PDF Author: Gerald E. Sacks
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 196

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Book Description
The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.

Handbook of Mathematical Logic

Handbook of Mathematical Logic PDF Author: J. Barwise
Publisher: Elsevier
ISBN: 0080933645
Category : Computers
Languages : en
Pages : 1179

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Book Description
The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.

Handbook of Computability Theory

Handbook of Computability Theory PDF Author: E.R. Griffor
Publisher: Elsevier
ISBN: 0080533043
Category : Mathematics
Languages : en
Pages : 741

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Book Description
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.

The Once and Future Turing

The Once and Future Turing PDF Author: S. Barry Cooper
Publisher: Cambridge University Press
ISBN: 131658917X
Category : Mathematics
Languages : en
Pages : 398

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Book Description
Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.

Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88

Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 PDF Author: Robion C. Kirby
Publisher: Princeton University Press
ISBN: 1400881501
Category : Mathematics
Languages : en
Pages : 368

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Book Description
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.

Contributions to Mathematical Logic

Contributions to Mathematical Logic PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080957692
Category : Computers
Languages : en
Pages : 311

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Book Description
Contributions to Mathematical Logic

Computability

Computability PDF Author: Nigel Cutland
Publisher: Cambridge University Press
ISBN: 9780521294652
Category : Computers
Languages : en
Pages : 268

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Book Description
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.

Infinite Loop Spaces (AM-90), Volume 90

Infinite Loop Spaces (AM-90), Volume 90 PDF Author: John Frank Adams
Publisher: Princeton University Press
ISBN: 1400821258
Category : Mathematics
Languages : en
Pages : 230

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Book Description
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.

Contributions to Mathematical Logic

Contributions to Mathematical Logic PDF Author: H. Arnold Schmidt
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 332

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Book Description


Proceedings Of The 14th And 15th Asian Logic Conferences

Proceedings Of The 14th And 15th Asian Logic Conferences PDF Author: Kim Byunghan
Publisher: World Scientific
ISBN: 9813237562
Category : Mathematics
Languages : en
Pages : 312

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Book Description
The Asian Logic Conference (ALC) is a major international event in mathematical logic. It features the latest scientific developments in the fields of mathematical logic and its applications, logic in computer science, and philosophical logic. The ALC series also aims to promote mathematical logic in the Asia-Pacific region and to bring logicians together both from within Asia and elsewhere for an exchange of information and ideas. This combined proceedings volume represents works presented or arising from the 14th and 15th ALCs.