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The limitations of cupping in the local structure of the enumeration degrees

โœ Scribed by Mariya I. Soskova


Publisher
Springer
Year
2009
Tongue
English
Weight
306 KB
Volume
49
Category
Article
ISSN
0933-5846

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๐Ÿ“œ SIMILAR VOLUMES


Sets of generators and automorphism base
โœ Andrea Sorbi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 568 KB

We exhibit some automorphism bases for the enumeration degrees, and we derive some consequences relative to the automorphisms of the enumeration degrees.

Undecidability and 1-types in intervals
โœ Klaus Ambos-Spies; Denis R. Hirschfeldt; Richard A. Shore ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 338 KB

We show that the theory of the partial ordering of the computably enumerable degrees in any given nontrivial interval is undecidable and has uncountably many 1-types.

On the structure of subrecursive degrees
โœ Sanat K. Basu ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 549 KB

Subrecursive degrees are partitions of computable (recursive) functions generated by strong reducibility orderings. Such reducibilities can be naturally characterized in terms of closure operations. Closure operations corresponding to standard reducibilities such as "primitive recursive," etc., are