26 found
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  1.  50
    Completely Mitotic R.E. Degrees.R. G. Downey & T. A. Slaman - 1989 - Annals of Pure and Applied Logic 41 (2):119-152.
  2.  16
    Structural Interactions of the Recursively Enumerable T- and W-Degrees.R. G. Downey & M. Stob - 1986 - Annals of Pure and Applied Logic 31:205-236.
  3.  38
    Classifications of Degree Classes Associated with R.E. Subspaces.R. G. Downey & J. B. Remmel - 1989 - Annals of Pure and Applied Logic 42 (2):105-124.
    In this article we show that it is possible to completely classify the degrees of r.e. bases of r.e. vector spaces in terms of weak truth table degrees. The ideas extend to classify the degrees of complements and splittings. Several ramifications of the classification are discussed, together with an analysis of the structure of the degrees of pairs of r.e. summands of r.e. spaces.
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  4.  19
    Recursion Theory and Ordered Groups.R. G. Downey & Stuart A. Kurtz - 1986 - Annals of Pure and Applied Logic 32:137-151.
  5.  29
    Minimal Degrees Recursive in 1-Generic Degrees.C. T. Chong & R. G. Downey - 1990 - Annals of Pure and Applied Logic 48 (3):215-225.
  6.  23
    Maximal Theories.R. G. Downey - 1987 - Annals of Pure and Applied Logic 33 (3):245-282.
  7.  38
    Automorphisms of Supermaximal Subspaces.R. G. Downey & G. R. Hird - 1985 - Journal of Symbolic Logic 50 (1):1-9.
  8.  25
    Splitting Properties of R. E. Sets and Degrees.R. G. Downey & L. V. Welch - 1986 - Journal of Symbolic Logic 51 (1):88-109.
  9.  45
    Decidable Subspaces and Recursively Enumerable Subspaces.C. J. Ash & R. G. Downey - 1984 - Journal of Symbolic Logic 49 (4):1137-1145.
    A subspace V of an infinite dimensional fully effective vector space V ∞ is called decidable if V is r.e. and there exists an r.e. W such that $V \oplus W = V_\infty$ . These subspaces of V ∞ are natural analogues of recursive subsets of ω. The set of r.e. subspaces forms a lattice L(V ∞ ) and the set of decidable subspaces forms a lower semilattice S(V ∞ ). We analyse S(V ∞ ) and its relationship with L(V (...)
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  10.  26
    Undecidability of L(F∞) and Other Lattices of R.E. Substructures.R. G. Downey - 1986 - Annals of Pure and Applied Logic 32:17-26.
  11.  28
    Intervals and Sublattices of the R.E. Weak Truth Table Degrees, Part I: Density.R. G. Downey - 1989 - Annals of Pure and Applied Logic 41 (1):1-26.
  12.  59
    Effective Extensions of Linear Forms on a Recursive Vector Space Over a Recursive Field.R. G. Downey & Iraj Kalantari - 1985 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 31 (13):193-200.
  13.  55
    Recursively Enumerablem- Andtt-Degrees II: The Distribution of Singular Degrees. [REVIEW]R. G. Downey - 1988 - Archive for Mathematical Logic 27 (2):135-147.
  14.  43
    The Universal Complementation Property.R. G. Downey & J. B. Remmel - 1984 - Journal of Symbolic Logic 49 (4):1125-1136.
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  15.  24
    A Note on Decompositions of Recursively Enumerable Subspaces.R. G. Downey - 1984 - Mathematical Logic Quarterly 30 (30):465-470.
  16.  19
    Recursively Enumerable M- and Tt-Degrees. I: The Quantity of M- Degrees.R. G. Downey - 1989 - Journal of Symbolic Logic 54 (2):553-567.
  17.  30
    A Note on Decompositions of Recursively Enumerable Subspaces.R. G. Downey - 1984 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (30):465-470.
  18.  32
    Intervals and Sublattices of the R.E. Weak Truth Table Degrees, Part II: Nonbounding.R. G. Downey - 1989 - Annals of Pure and Applied Logic 44 (3):153-172.
  19. Master Index to Volumes 71-80.K. A. Abrahamson, R. G. Downey, M. R. Fellows, A. W. Apter, M. Magidor, M. I. da ArchangelskyDekhtyar, M. A. Taitslin, M. A. Arslanov & S. Lempp - 1996 - Annals of Pure and Applied Logic 80:293-298.
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  20.  10
    Automorphisms and Recursive Structures.R. G. Downey & J. B. Remmel - 1987 - Mathematical Logic Quarterly 33 (4):339-345.
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  21.  29
    Automorphisms and Recursive Structures.R. G. Downey & J. B. Remmel - 1987 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (4):339-345.
  22.  11
    Bases of Supermaximal Subspaces and Steinitz Systems II.R. G. Downey - 1986 - Mathematical Logic Quarterly 32 (13‐16):203-210.
  23.  21
    Bases of Supermaximal Subspaces and Steinitz Systems II.R. G. Downey - 1986 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 32 (13-16):203-210.
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  24. Parameterized.R. G. Downey & M. R. Fellows - forthcoming - Complexity.
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  25.  11
    Splitting Theorems and the Jump Operator.R. G. Downey & Richard A. Shore - 1998 - Annals of Pure and Applied Logic 94 (1-3):45-52.
    We investigate the relationship of the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerable set whose only proper splittings are low 2.
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  26.  17
    Sound, Totally Sound, and Unsound Recursive Equivalence Types.R. G. Downey - 1986 - Annals of Pure and Applied Logic 31:1-20.