Ekaterina B. Fokina

home research publications teaching
  1. On complexity of categorical theories with computable models, Vestnik NGU, 5 (2005), no.2, pp. 78-86 (in Russian).
  2. On spectra of computable models, Vestnik NGU, 6 (2006), no.6, pp. 69-73 (in Russian).
  3. Arithmetical Turing degrees and categorical teories of computable models, Mathematical Logic in Asia. Proceedings of the 9th Asian Logic Conference, 2006, pp. 58-69. 
  4. Index sets of decidable structures, Siberian Mathematical Journal, 48 (2007), no. 5, pp. 939-948.
  5. Index Sets of Computable Structures with Decidable Theories, Computation and Logic in the Real World - Third Conference of Computability in Europe, CiE 2007, Siena, Italy, June 2007, Proceedings, LNCS, v. 4497, pp. 290-296.
  6. Index sets for classes of high rank structures (with W. Calvert, S. S. Goncharov, J. F. Knight, O. Kudinov, A. S. Morozov, V. Puzarenko), Journal of Symbolic Logic, 72 (2007), no. 4, pp. 1418-1446.
  7. Algorithmic properties of structures for the languages with two unary functional symbols, Vestnik NGU, 8 (2008), no. 1, pp. 90-101 (in Russian).
  8. Algorithmic properties of structures for the languages with two unary functional symbols, Logic and Theory of Algorithms, Local Proceedings of CiE'08, 2008, pp. 127-136.
  9. Index sets for some classes of structures, Ann. Pure Applied Logic, 157 (2009), 139--147.
  10. Intrinsic bounds on complexity and definability at limit levels (with J. Chisholm, S. S. Goncharov, V.S. Harizanov, J. F. Knight, S. Miller), to appear in J. Symbolic Logic.
  11. Computable embedding problem (with J. Carson, V. Harizanov, J. F. Knight, C. Maher, S. Quinn, J. Wallbaum), submitted.
  12. Equivalence Relations on Classes of Computable Structures(with S. D. Friedman), submitted.
  13. Degrees of Categoricity of Computable Structures (with I. Kalimullin and R. Miller), submitted.
  14. Rank homogeneous trees, Boolean algebras, and torsion-free Abelian groups (with J. F. Knight, C. Maher, A. Melnikov, S. M. Quinn), submitted.
  15. Effective Theory of Borel Equivalence Relations (with S. D. Friedman, A. Törnquist), in preparation.


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