THE COMPLEMENTS OF LOWER CONES OF DEGREES AND THE DEGREE SPECTRA OF STRUCTURES
Copyright policy )THE COMPLEMENTS OF LOWER CONES OF DEGREES AND THE DEGREE SPECTRA OF STRUCTURES
AbstractWe study Turing degrees a for which there is a countable structure ${\cal A}$ whose degree spectrum is the collection {x : x ≰ a}. In particular, for degrees a from the interval [0′, 0″], such a structure exists if a′ = 0″, and there are no such structures if a″ > 0‴.
- University of California, Berkeley United States
- UNIVERSITY OF WISCONSIN-MADISON United States
- Kazan Federal University Russian Federation
- University of Lincoln United Kingdom
Families of c.e. sets, Recursively (computably) enumerable sets and degrees, degree spectra, families of c.e. sets, computably enumerable (c.e.) sets, Turing degrees, algebraic structures, Computably enumerable (c.e.) sets, 510, Algebraic structures, Other degrees and reducibilities in computability and recursion theory, Degree spectra, Theory of numerations, effectively presented structures
Families of c.e. sets, Recursively (computably) enumerable sets and degrees, degree spectra, families of c.e. sets, computably enumerable (c.e.) sets, Turing degrees, algebraic structures, Computably enumerable (c.e.) sets, 510, Algebraic structures, Other degrees and reducibilities in computability and recursion theory, Degree spectra, Theory of numerations, effectively presented structures
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