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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

MARC

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100 1 |a Downey, R. G.  |q (Rod G.),  |e author. 
245 1 2 |a A hierarchy of Turing degrees :  |b a transfinite hierarchy of lowness notions in the computably enumerable degrees, unifying classes, and natural definability /  |c Rod Downey, Noam Greenberg. 
264 1 |a Princeton :  |b Princeton University Press,  |c 2020. 
300 |a 1 online resource (viii, 222 pages). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Annals of Mathematics Studies ;  |v v. 385 
490 1 |a Annals of mathematics studies ;  |v number 206 
504 |a Includes bibliographical references (pages [215]-222). 
505 0 |a [Alpha]-c.a. functions -- The hierarchy of totally [alpha]-c.a. degrees -- Maximal totally [alpha]-c.a. degrees -- Presentations of left-c.e. reals -- m-topped degrees -- Embeddings of the 1-3-1 lattice -- Prompt permissions. 
520 |a "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"--  |c Provided by publisher. 
588 |a Description based on print version record and CIP data provided by publisher; resource not viewed. 
590 |a JSTOR  |b Books at JSTOR Evidence Based Acquisitions 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
590 |a JSTOR  |b Books at JSTOR All Purchased 
650 0 |a Unsolvability (Mathematical logic) 
650 0 |a Computable functions. 
650 0 |a Recursively enumerable sets. 
650 6 |a Non-résolubilité (Logique mathématique) 
650 6 |a Fonctions calculables. 
650 6 |a Ensembles récursivement énumérables. 
650 7 |a MATHEMATICS  |x Logic.  |2 bisacsh 
650 7 |a Computable functions  |2 fast 
650 7 |a Recursively enumerable sets  |2 fast 
650 7 |a Unsolvability (Mathematical logic)  |2 fast 
700 1 |a Greenberg, Noam,  |d 1974-  |e author. 
776 0 8 |i Print version:  |t A hierarchy of Turing degrees  |d Princeton : Princeton University Press, 2020.  |z 9780691199658  |w (DLC) 2019052456 
830 0 |a Annals of mathematics studies ;  |v no. 206, 385. 
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