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Thomas F. Kent

Thomas F. Kent

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321 Thomas Building
State College, PA
Email: tfk8@psu.edu
Phone: (814) 863-0426

Selected Publications

1. A Note on the Enumeration Degrees of 1-Generic Sets, with L. Badillo, C. Bianchini, H.
Ganchev, and A. Sorbi, accepted for publication in the Archive for Mathematical Logic,
November, 2015.

2. Empty Intervals of Enumeration Degrees, with A. E. M. Lewis and A. Sorbi, in Annals of Pure and Applied Logic, Vol. 163 (5), May 2012, pp. 567-574.

3. Interpreting True Arithmetic in the Sigma^0_2-Enumeration Degrees, the Journal of Symbolic Logic, Vol. 75 (2), June 2010, pp. 522-550.

4. On the Degree Spectrum of a Pi^0_1-class, with Andrew E. M. Lewis, in Transactions of the American Mathematical Society, Vol. 362, May 2010, 5283-5319.

5. Image Analysis and Fractal Geometry to Characterize Soil Desiccation Cracks, with J. U. Baer and S. H. Anderson, in Geoderma, Vol. 154, Nos. 1-2, December 2009, pp. 153-163

6. The structure of the s-degrees contained within a single e-degree, in Annals of Pure and Applied Logic, Vol. 160 (1), July 2009, pp. 13-21.

7. Branching in the Delta^0_2-Enumeration Degrees: A New Perspective, with Maria Affatato and Andrea Sorbi, Archive for Mathematical Logic, Vol. 47 (3), July 2008, pp. 221-231.

8. Undecidability of Local Structures of s-Degrees and Q-Degrees, with Maria Affatato and Andrea Sorbi, Tbilisi Mathematical Journal, Vol. 1, 2008, pp. 15-32.

9. s-degrees within e-degrees, Theory and Applications of Models of Computation, TAMC08, Proceedings", Lecture Notes in Computer Science, Vol. 4978, 2008, pp. 579-587.

10. Bounding Nonsplitting Enumeration Degrees, with Andrea Sorbi, the Journal of Symbolic Logic, Vol. 72 (4), December 2007, pp. 1405-1417.

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