The search for natural definability in the Turing degrees (original) (raw)

On minimal wtt-degrees and computably enumerable Turing degrees

Rod Downey

2006

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Degrees which do not bound minimal degrees

Manuel Lerman

Annals of Pure and Applied Logic, 1986

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On relative enumerability of Turing degrees

Shamil Ishmukhametov

Archive for Mathematical Logic, 2000

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The Existential Theory of the Uppersemilattice of Turing Degrees with Least Element and Jump is

Manuel Lerman

2006

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Chapter XI: Bounding Minimal Degrees with Recursively Enumerable Degrees

Manuel Lerman

1983

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Jumps of Minimal Degrees Below 0

Rod Downey

Journal of the London Mathematical Society, 1996

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Decidability and Invariant Classes for Degree Structures

Manuel Lerman

Transactions of the American Mathematical Society, 1988

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A Hierarchy of Computably Enumerable Degrees

Rod Downey

The Bulletin of Symbolic Logic, 2018

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Decidability and Definability in the 0 -Enumeration Degrees

Thomas Kent

2005

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Decidability and Definability in the 02Enumeration Degrees

Thomas Kent

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Definability in the Recursively Enumerable Degrees

Richard Shore

Bulletin of Symbolic Logic, 1996

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Chapter IX: Minimal Degrees and High/Low Hierarchies

Manuel Lerman

1983

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Turing degrees and many-one degrees of maximal sets

Manuel Lerman

Journal of Symbolic Logic, 1970

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Undecidability in Weihrauch Degrees

Victor Selivanov

Lecture Notes in Computer Science, 2010

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Undecidability results for low complexity degree structures

Rod Downey

Proceedings of Computational Complexity. Twelfth Annual IEEE Conference, 1997

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Chapter II: Embeddings and Extensions of Embeddings in the Degrees

Manuel Lerman

1983

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Abstract the Existential Theory of the Poset of R.e. Degrees with a Predicate for Single Jump Reducibility

Manuel Lerman

2014

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Totally < ω-computably enumerable degrees and m-topped degrees

Rod Downey

2007

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Decomposition and infima in the computably enumerable degrees

Rod Downey

The Journal of Symbolic Logic, 2003

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The structure of the -degrees contained within a single -degree

Thomas Kent

Annals of Pure and Applied Logic, 2009

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Embeddings into the computably enumerable degrees

Manuel Lerman

Contemporary Mathematics, 2000

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An algebraic decomposition of the recursively enumerable degrees and the coincidence of several degree classes with the promptly simple degrees

Richard Shore

Transactions of the American Mathematical Society, 1984

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The Theory of the Metarecursively Enumerable Degrees

Richard Shore

2000

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Extensions of embeddings below computably enumerable degrees

Rod Downey

Transactions of the American Mathematical Society, 2012

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Contiguity and distributivity in the enumerable Turing degrees

Rod Downey

Journal of Symbolic Logic, 1997

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Undecidability and 1-types in intervals of the computably enumerable degrees

Richard Shore

Annals of Pure and Applied Logic, 2000

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Reducibility orderings: Theories, definability and automorphisms

Anil Nerode, Richard Shore

Annals of Mathematical Logic, 1980

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On the Existence of a Strong Minimal Pair

hina saleem

Journal of Mathematical Logic, 2015

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Chapter X: Jumps of Minimal Degrees

Manuel Lerman

1983

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On the jump classes of noncuppable enumeration degrees

Charles Harris

The Journal of Symbolic Logic, 2011

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On the Structure of Honest Elementary Degrees

Andreas Weiermann

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Streamlined subrecursive degree theory

Andreas Weiermann

2011

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Embedding Finite Lattices Into the Computably Enumerable Degrees — a Status Survey

Manuel Lerman

Logic Colloquium, 2000

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Minimal Degrees For Honest Polynomial Reducibilities

Steven Homer

1984

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Degree theoretic definitions of the low2 recursively enumerable sets

Rod Downey

Journal of Symbolic Logic, 1995

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