Mariya Soskova's Personal Home Page

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Preprints

  • Title: Interpreting true arithmetic in the local structure of the enumeration degrees
    Authors: Hristo A. Ganchev and Mariya I. Soskova
    Formats:
    Status: Submitted.

  • Title: Kalimullin pairs of Σ20 omega-enumeration degrees
    Authors: I. Soskov and Mariya I. Soskova
    Formats:
    Status: Accepted in IJSI.

  • Title: Cupping and definability in the local structure of the enumeration degrees
    Authors: Hristo A. Ganchev and Mariya I. Soskova
    Formats:
    Status: To appear in JSL.

  • Title: The High/Low Hierarchy in the Local Structure of the Omega-Enumeration Degrees
    Authors: Hristo A. Ganchev and Mariya I. Soskova
    Formats:
    Status: Toappear in APAL.

  • Title: Embedding Distributive Lattices in the Σ20 Enumeration Degrees
    Authors: Hristo A. Ganchev and Mariya I. Soskova
    Formats:
    Status: To appear in JLC.

  • Title: Embedding Countable Partial Orderings in the Enumeration Degrees and the Omega Enumeration Degrees
    Authors: Mariya I. Soskova and Ivan N. Soskov
    Formats:
    Status: To appear in JLC.

  • Title: The Limitations of Cupping in the Local Structure of the Enumeration Degrees
    Authors: Mariya I. Soskova
    Formats:
    Status: Archive for Mathematical Logic, 49(2), 2010, 169-193.

  • Title: Splitting and Nonsplitting in the Σ20 Enumeration Degrees
    Authors: Marat M. Arslanov, S. Barry Cooper, Iskander Sh. Kalimullin and Mariya I. Soskova
    Formats:
    Status: In Theory and Applications of Models of Computation: 5th International Conference, TAMC 2008, Xi'an, China, April 25-29, 2008, Proceedings (M. Agrawal, D. Du, Z. Duan, A. Li, eds.), LNCS 4978, Springer, 2008, pp. 568-578. .

  • Title: The Local Structure of the Enumeration Degrees
    Authors: Mariya I. Soskova
    Formats:
    Status: PhD Thesis, University of Leeds, May 2008.

  • Title: Cupping Classes of Σ20 Enumeration Degrees
    Authors: Mariya I. Soskova
    Formats:
    Status: In CiE 2008 Proceedings, LNCS, volume 5028, 554-566.

  • Title: Total Degrees and Nonsplitting Properties of Σ20 Enumeration Degrees
    Authors: Marat M. Arslanov, S. Barry Cooper, Iskander Sh. Kalimullin and Mariya I. Soskova
    Formats:
    Status: In TAMC 2008 Proceedings, LNCS 4978, 568-578.

  • Title: A Non-splitting Theorem in the Enumeration Degrees
    Authors: Mariya I. Soskova
    Formats:
    Status: Ann. Pure Appl. Logic, 160, (2009) 400-418.

  • Title: How Enumeration Reducibility Yields Extended Harrington Non-Splitting
    Authors: Mariya I. Soskova and S. Barry Cooper
    Formats:
    Status: In Journal of Symbolic Logic, vol. 73 (2008), 634-655.

  • Title: Cupping &Delta2 Enumeration Degrees to 0'
    Authors: Mariya I. Soskova, Guohua Wu
    Formats:
    Status: In CiE 2007 Proceedings, LNCS, volume 4497, 727-738.

  • Title: The Strongest Nonsplitting Theorem
    Authors: Mariya I. Soskova, S. Barry Cooper
    Formats:
    Status: In TAMC 2007 Proceedings, LNCS 4484, 199-211

  • Title: Randomness, Lowness and Degrees
    Authors: George Barmpalias, Andrew E. M. Lewis, Mariya I. Soskova
    Formats:
    Status: In Journal of Symbolic Logic. vol.73, 559-577 (2008).

  • Title: Genericity and Nonbounding
    Authors: Mariya I. Soskova
    Formats:
    Status: In Journal of Logic and Computation, December 2007; 17: 1235 - 1255.

  • Title: A Generic Set that Does Not Bound a Minimal Pair in the Enumeration Degrees
    Authors: Mariya I. Soskova
    Formats:
    Status: In TAMC 2006 Proceedings, LNCS 3959.

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