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Degree spectra of relations on a cone /

Let \mathcal A be a mathematical structure with an additional relation R. The author is interested in the degree spectrum of R, either among computable copies of \mathcal A when (\mathcal A, R) is a ""natural"" structure, or (to make this rigorous) among copies of (\mathcal A, R)...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Harrison-Trainor, Matthew, 1990- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1208.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Harrison-Trainor, Matthew,  |d 1990-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjHx6JJVM4CxHwCVHDDCkP 
245 1 0 |a Degree spectra of relations on a cone /  |c Matthew Harrison-Trainor. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2018 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v volume 253, number 1208 
500 |a "Volume 253, number 1208 (third of 7 numbers), May 2018." 
504 |a Includes bibliographical references (pages 105-106) and index. 
505 0 |a Introduction -- Preliminaries -- Degree spectra between the C.E. degrees and the D.C.E. degrees -- Degree spectra of relations on the naturals -- A "fullness" theorem for 2-CEA degrees -- Further questions. 
588 0 |a Print version record. 
520 |a Let \mathcal A be a mathematical structure with an additional relation R. The author is interested in the degree spectrum of R, either among computable copies of \mathcal A when (\mathcal A, R) is a ""natural"" structure, or (to make this rigorous) among copies of (\mathcal A, R) computable in a large degree d. He introduces the partial order of degree spectra on a cone and begin the study of these objects. Using a result of Harizanov--that, assuming an effectiveness condition on \mathcal A and R, if R is not intrinsically computable, then its degree spectrum contains all c.e. degrees--the autho 
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