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A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (Annals of Mathematics Studies, 206) - Hardcover

 
9780691199658: A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (Annals of Mathematics Studies, 206)
  • PublisherPrinceton University Press
  • Publication date2020
  • ISBN 10 0691199655
  • ISBN 13 9780691199658
  • BindingHardcover
  • LanguageEnglish
  • Number of pages240

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9780691199665: A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (Annals of Mathematics Studies, 206)

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Hardcover. Condition: new. Hardcover. 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. 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 Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780691199658

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Hardcover. Condition: Brand New. 222 pages. 9.75x6.50x0.75 inches. In Stock. This item is printed on demand. Seller Inventory # __0691199655

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Gebunden. Condition: New. &Uumlber den AutorRod 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 Co. Seller Inventory # 333725331

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