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Maximal Pairs of Computably Enumerable Sets in the Computably Lipschitz Degrees

✍ Scribed by Klaus Ambos-Spies, Decheng Ding, Yun Fan, Wolfgang Merkle


Book ID
118780968
Publisher
Springer
Year
2012
Tongue
English
Weight
747 KB
Volume
52
Category
Article
ISSN
1433-0490

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πŸ“œ SIMILAR VOLUMES


Interpreting N in the computably enumera
✍ AndrΓ© Nies πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 129 KB

We give a ΓΏrst-order coding without parameters of a copy of (N; +; Γ—) in the computably enumerable weak truth table degrees. As a tool, we develop a theory of parameter deΓΏnable subsets.

Undecidability and 1-types in intervals
✍ Klaus Ambos-Spies; Denis R. Hirschfeldt; Richard A. Shore πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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.