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Computability theory and its applications : current trends and open problems : proceedings of a 1999 AMS-IMS-SIAM joint summer research conference, computability theory and applications, June 13-17, 1999, University of Colorado, Boulder / Peter A. Cholak ...[and others], editors.

Math/Physics/Astronomy Library QA9.59 .C66 1999
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Format:
Book
Conference/Event
Contributor:
Cholak, Peter, 1962-
Conference Name:
AMS-IMS-SIAM Joint Research Conference on Computability Theory and Applications ( 1999 : Boulder, Colo.)
Series:
Contemporary mathematics (American Mathematical Society) ; v. 257.
Contemporary mathematics, 0271-4132 ; 257
Language:
English
Subjects (All):
Computable functions--Congresses.
Computable functions.
Genre:
Conference papers and proceedings.
Physical Description:
xvi, 320 pages : illustrations ; 26 cm.
Place of Publication:
Providence, R.I. : American Mathematical Society, [2000]
Contents:
Randomness in computability theory / Klaus Ambos-Spies, Antonin Kucera 1
Open questions about the n-c.e. degrees / Marat Arslanov 15
The theory of numberings: Open problems / Serikzhan Badaev, Sergey Goncharov 23
[Pi superscript 0 subscript 1] classes
structure and applications / Douglas Cenzer, Carl G. Jockusch, Jr. 39
The global structure of computably enumerable sets / Peter A. Cholak 61
Computability theory in arithmetic: Provability, structure and techniques / C. T. Chong, Yue Yang 73
How many Turing degrees are there? / Randall Dougherty, Alexander S. Kechris 83
Questions in computable algebra and combinatorics / Rod Downey, J. B. Remmel 95
Issues and problems in reverse mathematics / Harvey Friedman, Stephen G. Simpson 127
Open problems in the theory of constructive algebraic systems / Sergey Goncharov, Bakhadyr Khoussainov 145
Independence results from ZFC in computability theory: Some open problems / Marcia Groszek 171
Problems related to arithmetic / Julia F. Knight 181
Embeddings into the computably enumerable degrees / Manuel Lerman 191
Definability in the c.e. degrees: Questions and results / Andre Nies 207
Strong reducibilities, again / Piergiorgio Odifreddi 215
Finitely axiomatizable theories and Lindenbaum algebras of semantic classes / Mikhail Peretyat'kin 221
Towards an analog of Hilbert's tenth problem for a number field / Alexandra Shlapentokh 241
Natural definability in degree structures / Richard A. Shore 255
Recursion theory in set theory / Theodore A. Slaman 273
Extensions, automorphisms, and definability / Robert I. Soare 279
Open problems in the enumeration degrees / Andrea Sorbi 309.
Notes:
Includes bibliographical references.
ISBN:
0821819224
OCLC:
43884597

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