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  1. Degree structures: Local and global investigations.Richard A. Shore - 2006 - Bulletin of Symbolic Logic 12 (3):369-389.
    The occasion of a retiring presidential address seems like a time to look back, take stock and perhaps look ahead.Institutionally, it was an honor to serve as President of the Association and I want to thank my teachers and predecessors for guidance and advice and my fellow officers and our publisher for their work and support. To all of the members who answered my calls to chair or serve on this or that committee, I offer my thanks as well. Your (...)
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  • On the existence of a strong minimal pair.George Barmpalias, Mingzhong Cai, Steffen Lempp & Theodore A. Slaman - 2015 - Journal of Mathematical Logic 15 (1):1550003.
    We show that there is a strong minimal pair in the computably enumerable Turing degrees, i.e. a pair of nonzero c.e. degrees a and b such that a∩b = 0 and for any nonzero c.e. degree x ≤ a, b ∪ x ≥ a.
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  • The role of true finiteness in the admissible recursively enumerable degrees.Noam Greenberg - 2005 - Bulletin of Symbolic Logic 11 (3):398-410.
    We show, however, that this is not always the case.
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  • Embedding finite lattices into the ideals of computably enumerable Turing degrees.William Calhoun & Manuel Lerman - 2001 - Journal of Symbolic Logic 66 (4):1791-1802.
    We show that the lattice L 20 is not embeddable into the lattice of ideals of computably enumerable Turing degrees (J). We define a structure called a pseudolattice that generalizes the notion of a lattice, and show that there is a Π 2 necessary and sufficient condition for embedding a finite pseudolattice into J.
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  • A necessary and sufficient condition for embedding principally decomposable finite lattices into the computably enumerable degrees preserving greatest element.Burkhard Englert - 2001 - Annals of Pure and Applied Logic 112 (1):1-26.
    We present a necessary and sufficient condition for the embeddability of a finite principally decomposable lattice into the computably enumerable degrees preserving greatest element.
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