{"product_id":"a-hierarchy-of-turing-degrees-rod-downey-9780691199658","title":"A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definabi","description":"\u003cp\u003eComputability 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eIn \u003ci\u003eA Hierarchy of Turing Degrees\u003c\/i\u003e, 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. \u003cp\u003e\u003c\/p\u003eBlending traditional and modern research results in computability theory, \u003ci\u003eA Hierarchy of Turing Degrees \u003c\/i\u003eestablishes novel directions in the field.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Rod Downey,Noam Greenberg\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691199655\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691199658\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/16\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 240\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.05lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.50h x 6.40w x 0.80d","brand":"Rod Downey","offers":[{"title":"Hardcover","offer_id":48621766050047,"sku":"9780691199658","price":205.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/a-hierarchy-of-turing-degrees-rod-downey-9780691199658","provider":"WR Book House","version":"1.0","type":"link"}