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Computability Theory, Rebecca Weber


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в Мои желания

Автор: Rebecca Weber
Название:  Computability Theory
ISBN: 9780821873922
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 082187392X
Обложка/Формат: Paperback
Страницы: 206
Вес: 0.26 кг.
Дата издания: 30.06.2012
Серия: Student mathematical library
Язык: English
Иллюстрации: Illustrations
Размер: 216 x 138 x 12
Читательская аудитория: Professional and scholarly
Ключевые слова: Mathematical logic
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Поставляется из: Англии
Описание: 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 theory and an overview of currently active areas of research, such as reverse mathematics and algorithmic randomness. Turing machines and partial recursive functions are explored in detail, and vital tools and concepts including coding, uniformity, and diagonalization are described explicitly. From there the material continues with universal machines, the halting problem, parametrization and the recursion theorem, and thence to computability for sets, enumerability, and Turing reduction and degrees. A few more advanced topics round out the book before the chapter on areas of research. The text is designed to be self-contained, with an entire chapter of preliminary material including relations, recursion, induction, and logical and set notation and operators. That background, along with ample explanation, examples, exercises, and suggestions for further reading, make this book ideal for independent study or courses with few prerequisites.

Combinatorics, Computability and Logic

Автор: C.S. Calude; M.J. Dinneen; S. Sburlan
Название: Combinatorics, Computability and Logic
ISBN: 1852335262 ISBN-13(EAN): 9781852335267
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume contains the papers presented at the Third Combinatorics, Computability and Logic (DMTCS`01) conference, These papers cover topics such as abstract data types and specifications algorithms and data structures automata and formal languages computability among others.

Computability in Analysis and Physics

Автор: Pour-El
Название: Computability in Analysis and Physics
ISBN: 1107168449 ISBN-13(EAN): 9781107168442
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This is the first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning. The authors are concerned with the computability or noncomputability of standard processes in analysis and physics. The book is self-contained and serves well as an introduction to research in this area.

Turing Computability

Автор: Soare
Название: Turing Computability
ISBN: 3642319327 ISBN-13(EAN): 9783642319327
Издательство: Springer
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Цена: 69870.00 T
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Описание: Turing`s famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic.

Theories of Computability

Автор: Pippenger
Название: Theories of Computability
ISBN: 0521553806 ISBN-13(EAN): 9780521553803
Издательство: Cambridge Academ
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Цена: 98210.00 T
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Описание: This book gives an introduction to theories of computability from a mathematically sophisticated point of view. It treats not only `the` theory of computability, but also a variety of other theories. Each topic is taken from the beginning and developed to a point at which the results can be appreciated.

Computability and logic

Автор: George S. Boolos
Название: Computability and logic
ISBN: 0521701465 ISBN-13(EAN): 9780521701464
Издательство: Cambridge Academ
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Цена: 33790.00 T
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Описание: Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, but also a large number of optional topics, from Turing`s theory of computability to Ramsey`s theorem. This fifth edition was first published in 2007.

Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Автор: Eugenio G. Omodeo; Alberto Policriti
Название: Martin Davis on Computability, Computational Logic, and Mathematical Foundations
ISBN: 3319418416 ISBN-13(EAN): 9783319418414
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.

Theory of recursive functions and effective computability /

Автор: Rogers, H.
Название: Theory of recursive functions and effective computability /
ISBN: 0262680521 ISBN-13(EAN): 9780262680523
Издательство: MIT Press
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Цена: 56430.00 T
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Описание: (Reprint of the 1967 edition)

Definability and computability /

Автор: Ershov, I?U?rii? Leonidovich.
Название: Definability and computability /
ISBN: 0306110393 ISBN-13(EAN): 9780306110399
Издательство: Springer
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Цена: 213360.00 T
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Описание: In this book, Yurii L. Ershov posits the view that computability-in the broadest sense-can be regarded as the Sigma-definability in the suitable sets. He presents a new approach to providing the G del incompleteness theorem based on systematic use of the formulas with the restricted quantifiers. The volume also includes a novel exposition on the foundations of the theory of admissible sets with urelements, using the Gandy theorem throughout the theory's development. Other topics discussed are forcing, Sigma-definability, dynamic logic, and Sigma-predicates of finite types.


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