Journal of Symbolic Logic 51 (3):770 - 777 (1986)
| Abstract |
It is shown that the nonrecursive predecessors of a 1-generic degree $ are all 1-generic. As a corollary, it is shown that the 1-generic degrees are not densely ordered
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| DOI | 10.2307/2274030 |
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Citations of this work BETA
Natural Factors of the Muchnik Lattice Capturing IPC.Rutger Kuyper - 2013 - Annals of Pure and Applied Logic 164 (10):1025-1036.
A Note on the Enumeration Degrees of 1-Generic Sets.Liliana Badillo, Caterina Bianchini, Hristo Ganchev, Thomas F. Kent & Andrea Sorbi - 2016 - Archive for Mathematical Logic 55 (3-4):405-414.
Embedding and Coding Below a 1-Generic Degree.Noam Greenberg & Antonio Montalbán - 2003 - Notre Dame Journal of Formal Logic 44 (4):200-216.
Dynamic Notions of Genericity and Array Noncomputability.Benjamin Schaeffer - 1998 - Annals of Pure and Applied Logic 95 (1-3):37-69.
Arithmetical Sacks Forcing.Rod Downey & Liang Yu - 2006 - Archive for Mathematical Logic 45 (6):715-720.
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