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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 /

"This book presents new results in computability theory, a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field's connections with disparate areas of mathematical logic and mathematics more generally have grown deeper, and now h...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Downey, R. G. (Rod G.) (Autor), Greenberg, Noam, 1974- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2020.
Colección:Annals of mathematics studies ; no. 206, 385.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"This book presents new results in computability theory, a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field's connections with disparate areas of mathematical logic and mathematics more generally have grown deeper, and now have a variety of applications in topology, group theory, and other subfields. This monograph establishes new directions in the field, blending classic results with modern research areas such as algorithmic randomness. The significance of the book lies not only in the depth of the results contained therein, but also in the fact that the notions the authors introduce allow them to unify results from several subfields of computability theory"--
Descripción Física:1 online resource (viii, 222 pages).
Bibliografía:Includes bibliographical references (pages [215]-222).
ISBN:9780691200217
0691200211