Computability in Analysis and Physics, Pour-El

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

Автор: George S. Boolos
Название: Computability and logic
ISBN: 0521701465 ISBN-13(EAN): 9780521701464
Издательство: Cambridge Academ
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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.

Автор: Pippenger
Название: Theories of Computability
ISBN: 0521553806 ISBN-13(EAN): 9780521553803
Издательство: Cambridge Academ
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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.

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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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.

Автор: Ershov, I?U?rii? Leonidovich.
Название: Definability and computability /
ISBN: 0306110393 ISBN-13(EAN): 9780306110399
Издательство: Springer
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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.

Автор: Soare
Название: Turing Computability
ISBN: 3642319327 ISBN-13(EAN): 9783642319327
Издательство: Springer
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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.