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Definable relations in Turing degree structures (c. e.) sets and degrees in the Ershov difference hierarchy. It is proved that the class of all c. e

Definable relations in Turing degree structures (c. e.) sets and degrees in the Ershov difference hierarchy. It is proved that the class of all c. e

Spectra of degrees of some structuresWe argue for the existence of structures with the spectrum {x : x ≥ a} of degrees, where a

Definable relations in Turing degree structures and degrees in the Ershov difference hierarchy. © 2013 The Author, 2013. Published by Oxford University Press

Definable relations in Turing degree structures and degrees in the Ershov difference hierarchy. © 2013 The Author, 2013. Published by Oxford University Press

Structural Theory of Degrees of Unsolvability: Advances and Open ProblemsStructural Theory of Degrees of Unsolvability: Advances and Open Problems

Extending Cooper’s theorem to Δ30 Turing degrees
a 2-c.e. Turing degree which doesn't contain a c.e. set. Thus, he showed that the second level

Computable Embeddings of Classes of Structures Under Enumeration and Turing Operators
characterizations of the Turing and enumeration computable embeddings of classes of structures.

On Degree Spectra of Topological Spaces-computability’’ is measured by the so called degree spectrum, i.e. the set of Turing degrees that compute an isomorphic copy

Algorithmic reducibilities of algebraic structuresTuring degrees

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