Handbook of Computability Theory

Handbook of Computability Theory PDF

Author: E.R. Griffor

Publisher: Elsevier

Published: 1999-10-01

Total Pages: 741

ISBN-13: 0080533043

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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.

A Hierarchy of Turing Degrees

A Hierarchy of Turing Degrees PDF

Author: Rod Downey

Publisher: Princeton University Press

Published: 2020-06-16

Total Pages: 234

ISBN-13: 0691199655

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[Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped degrees -- Embeddings of the 1-3-1 lattice -- Prompt permissions.

Complexity, Logic, and Recursion Theory

Complexity, Logic, and Recursion Theory PDF

Author: Andrea Sorbi

Publisher: CRC Press

Published: 2019-05-07

Total Pages: 380

ISBN-13: 1482269759

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"Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."

Theory and Applications of Models of Computation

Theory and Applications of Models of Computation PDF

Author: Jin-Yi Cai

Publisher: Springer Science & Business Media

Published: 2006-05-11

Total Pages: 809

ISBN-13: 3540340211

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TAMC 2006 was the third conference in the series. The previous two meetings were held May 17–19, 2004 in Beijing, and May 17–20, 2005 in Kunming

Logic Colloquium '95

Logic Colloquium '95 PDF

Author: Johann A. Makowsky

Publisher: Cambridge University Press

Published: 2017-03-02

Total Pages: 366

ISBN-13: 1107167906

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Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, covering classical topics of mathematical logic.

Computability and Complexity

Computability and Complexity PDF

Author: Adam Day

Publisher: Springer

Published: 2016-11-30

Total Pages: 788

ISBN-13: 3319500627

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This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.

Recursively Enumerable Sets and Degrees

Recursively Enumerable Sets and Degrees PDF

Author: Robert I. Soare

Publisher: Springer Science & Business Media

Published: 1999-11-01

Total Pages: 460

ISBN-13: 9783540152996

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..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988