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Theodore A. Slaman
Professor
Research
Primary Research Area:
Mathematical Logic
Research Interests:
Recursion theory, mathematical logic
Contact Information
719 Evans Hall
Office Hours:
W 12:30-2:00
slaman
[at]
math [dot] berkeley [dot] edu
http://math.berkeley.edu/~slaman/
Year Appointed:
1996
Publications
Selected Publications:
C. T. Chong, Theodore A. Slaman, and Yue Yang (2012). Π11-conservation of combinatorial principles weaker than Ramsey's theorem for pairs.
Advances in Mathematics
, 230:1060-1077. [
pdf
]
Andrew Marks, Theodore A. Slaman, and John R. Steel (2011). Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations. preprint. [
arXiv
]
Noam Greenberg, Antonio Montalbán, and Theodore A. Slaman (2011). The Slaman-Wehner theorem in higher recursion theory.
Proc. Amer. Math. Soc.
, 139:1865-1869. [
pdf
]
Chong, C. T. and Slaman, T. A. (2010).
The theory of the α degrees is undecidable.
Israel J. Math.
178
229-252.
Reimann, Jan and Slaman, Theodore A. (2008).
Measures and Their Random Reals.
preprint. [
arXiv
]
Kučera, Antonín and Slaman, Theodore A. (2007).
Turing Incomparability in Scott Sets.
Proc. Amer. Math. Soc.
135
3723-3731. [
arXiv
]
Slaman, Theodore A. (2005).
Aspects of the Turing jump.
In
Logic Colloquium 2000, Proceedings of the Annual Summer Meeting of the Association for Symbolic Logic, held in Paris, France, July 23-31, 2000
Cori, René and Razborov, Alexander and Todorčević, Stevo and Wood, Carol editors.
365-382 A K Peters, Ltd. Wellesley, Massachusetts. [
pdf
]
Slaman, Theodore A. (2004).
Σn-Bounding and Δn-Induction.
Proc. Amer. Math. Soc.
132
2449-2456. [
pdf
]
Cholak, Peter A. and Jockusch, Jr., Carl G. and Slaman, Theodore A. (2001).
On the strength of Ramsey's theorem for pairs.
J. Symbolic Logic
66
No.1, 1-55. [
pdf
]
Kučera, Antonín and Slaman, Theodore A. (2001).
Randomness and recursive enumerability.
SIAM J. Comput.
31
No.1, 199-211 (electronic). [
pdf
]
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