Structures of the degrees of unsolvability of index sets (original) (raw)

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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Structure of powers of generalized index sets

Victor Selivanov

Algebra and Logic, 1982

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On the Some Particular Sets

Ozen Ozer

2016

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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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Index sets in the hyperarithmetical hierarchy

Victor Selivanov

Siberian Mathematical Journal, 1985

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Some highly undecidable lattices

Menachem Magidor

Annals of Pure and Applied Logic, 1990

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Degrees which do not bound minimal degrees

Manuel Lerman

Annals of Pure and Applied Logic, 1986

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Some properties of K< set

Mehmet Akif Ince

New Trends in Mathematical Science, 2016

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The Pigeonhole Principle and Fragments of Arithmetic

Costas Dimitrakopoulos

Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 1986

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Minimal Degrees and Recursively Inseparable Pairs of Recursively Enumerable Sets

Manuel Lerman

Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 1991

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D -Simple Sets, Small Sets, and Degree Classes

Manuel Lerman

Pacific Journal of Mathematics, 1980

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Embedding finite lattices into the computably enumerable degrees — a status survey

Manuel Lerman

Cambridge University Press eBooks, 2017

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The p-T-degrees of the recursive sets: lattice embeddings, extensions of embeddings and the two-quantifier theory

Richard Shore

Theoretical Computer Science, 1992

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A Hierarchy of Computably Enumerable Degrees

Rod Downey

The Bulletin of Symbolic Logic, 2018

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Recursively Enumerable m- and tt-Degrees III: Realizing all Finite Distributive Lattices

Rod Downey

Journal of the London Mathematical Society, 1994

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On finite lattices of degrees of constructibility of reals

Zofia Adamowicz

Journal of Symbolic Logic, 1976

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On relative enumerability of Turing degrees

Shamil Ishmukhametov

Archive for Mathematical Logic, 2000

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Index sets and presentations of complexity classes

Kenneth Regan

Theoretical Computer Science, 1996

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Additive indecomposability of submodular set functions and its generalization (Information and mathematics of non-additivity and non-extensivity : contacts with nonlinearity and non-commutativity)

Katsushige FUJIMOTO

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On extensions, linear extensions, upsets and downsets of ordered sets

Jayme Szwarcfiter

Discrete Mathematics, 2005

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A necessary and sufficient condition for embedding principally decomposable finite lattices into the computably enumerable degrees preserving greatest element

Manuel Lerman

Annals of Pure and Applied Logic, 2001

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On the complexity of posets

William Trotter

Discrete Mathematics, 1976

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On the orbits of computably enumerable sets

Rod Downey

Journal of the American Mathematical Society, 2008

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On the indecomposability of ωn

Jared Corduan

2011

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Some intersection theorems for ordered sets and graphs

Ronald Graham

Journal of Combinatorial Theory, Series A, 1986

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Invariant Constructions of Simple and Maximal Sets

Frank P Weber

Mathematical Logic Quarterly, 1995

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Index sets of computable structures

Valentina Harizanov

Algebra and Logic, 2006

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Some results on the complexity of families of sets

Daniel Grieser

Discrete Mathematics, 1991

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Degree theoretic definitions of the low2 recursively enumerable sets

Rod Downey

Journal of Symbolic Logic, 1995

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A Study on Arithmetic Integer Additive Set-Indexers of Graphs

K. A. Germina

arXiv: Combinatorics, 2013

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Chapter II: Embeddings and Extensions of Embeddings in the Degrees

Manuel Lerman

1983

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Decidability and Invariant Classes for Degree Structures

Manuel Lerman

Transactions of the American Mathematical Society, 1988

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Hierarchies of Sets and Degrees Below 0

Richard Kramer

1979

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Enumerations of canonically calculable families of finite sets

Victor Selivanov

Siberian Mathematical Journal, 1978

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