Rod Downey & Noam Greenberg 
A Hierarchy of Turing Degrees [PDF ebook] 
A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability

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Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of mathematics, with applications in topology, group theory, and other subfields.
In A Hierarchy of Turing Degrees, Rod Downey and Noam Greenberg introduce a new hierarchy that allows them to classify the combinatorics of constructions from many areas of computability theory, including algorithmic randomness, Turing degrees, effectively closed sets, and effective structure theory. This unifying hierarchy gives rise to new natural definability results for Turing degree classes, demonstrating how dynamic constructions become reflected in definability. Downey and Greenberg present numerous construction techniques involving high-level nonuniform arguments, and their self-contained work is appropriate for graduate students and researchers.
Blending traditional and modern research results in computability theory, A Hierarchy of Turing Degrees establishes novel directions in the field.

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Giới thiệu về tác giả

Rod Downey and
Noam Greenberg are professors of mathematics at Victoria University of Wellington in New Zealand. Downey is the coauthor of
Parameterized Complexity,
Algorithmic Randomness and Complexity, and
Fundamentals of Parameterized Complexity. Greenberg is the author of
The Role of True Finiteness in the Admissible Recursively Enumerable Degrees.

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Ngôn ngữ Anh ● định dạng PDF ● Trang 240 ● ISBN 9780691200217 ● Kích thước tập tin 2.0 MB ● Nhà xuất bản Princeton University Press ● Thành phố Princeton ● Quốc gia US ● Được phát hành 2020 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 7295698 ● Sao chép bảo vệ Adobe DRM
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