Stephen G. Simpson

Affiliations:
  • Pennsylvania State University, Department of Mathematics, USA
  • Vanderbilt University, Nashville, TN, USA


According to our database1, Stephen G. Simpson authored at least 45 papers between 1978 and 2017.

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Bibliography

2017
Reverse Mathematics, Young Diagrams, and the ascending Chain condition.
J. Symb. Log., 2017

Turing Degrees and Muchnik Degrees of Recursively Bounded DNR Functions.
Proceedings of the Computability and Complexity, 2017

2016
Implicit Definability in Arithmetic.
Notre Dame J. Formal Log., 2016

Mass problems and density.
J. Math. Log., 2016

Mass problems and intuitionistic higher-order logic.
Comput., 2016

2015
Symbolic Dynamics: Entropy = Dimension = Complexity.
Theory Comput. Syst., 2015

Cone avoidance and randomness preservation.
Ann. Pure Appl. Log., 2015

Degrees of Unsolvability: A Tutorial.
Proceedings of the Evolving Computability - 11th Conference on Computability in Europe, 2015

2014
Baire Categoricity and Σ<sup>0</sup><sub>1</sub>-Induction.
Notre Dame J. Formal Log., 2014

Propagation of partial randomness.
Ann. Pure Appl. Log., 2014

2013
Reverse mathematics and Peano categoricity.
Ann. Pure Appl. Log., 2013

2011
A Nonstandard Counterpart of WWKL.
Notre Dame J. Formal Log., 2011

2009
Mass problems and measure-theoretic regularity.
Bull. Symb. Log., 2009

2008
Mass Problems and Intuitionism.
Notre Dame J. Formal Log., 2008

2007
Mass problems and almost everywhere domination.
Math. Log. Q., 2007

Almost everywhere domination and superhighness.
Math. Log. Q., 2007

Mass Problems and Hyperarithmeticity.
J. Math. Log., 2007

2005
Mass problems and randomness.
Bull. Symb. Log., 2005

Reverse mathematics and pi<sup>1</sup><sub>2</sub> comprehension.
Bull. Symb. Log., 2005

2004
An incompleteness theorem for gamma<sub>n</sub>-models.
J. Symb. Log., 2004

Almost everywhere domination.
J. Symb. Log., 2004

Embeddings into the Medvedev and Muchnik lattices of pi<sup>0</sup><sub>1</sub>classes.
Arch. Math. Log., 2004

2002
Some conservation results on week König's lemma.
Ann. Pure Appl. Log., 2002

Vitali's Theorem and WWKL.
Arch. Math. Log., 2002

2000
Located Sets and Reverse Mathematics.
J. Symb. Log., 2000

1999
Separation and Weak König's Lemma.
J. Symb. Log., 1999

Subsystems of second order arithmetic.
Perspectives in mathematical logic, Springer, ISBN: 978-3-540-64882-6, 1999

1994
On the Strength of König's Duality Theorem for Countable Bipartite Graphs.
J. Symb. Log., 1994

1993
The Baire Category Theorem in Weak Subsystems of Second-Order Arithmetic.
J. Symb. Log., 1993

Periodic Points and Subsystems of Second-Order Arithmetic.
Ann. Pure Appl. Log., 1993

1990
Measure theory and weak König's lemma.
Arch. Math. Log., 1990

1989
Countable Valued Fields in Weak Subsystems of Second-Order Arithmetic.
Ann. Pure Appl. Log., 1989

1988
Ordinal Numbers and the Hilbert Basis Theorem.
J. Symb. Log., 1988

Partial Realizations of Hilbert's Program.
J. Symb. Log., 1988

1986
A dual form of Erdös-Rado's canonization theorem.
J. Comb. Theory, Ser. A, 1986

Factorization of polynomials and Σ<sub>1</sub><sup>0</sup> induction.
Ann. Pure Appl. Log., 1986

Which set existence axioms are needed to prove the separable Hahn-Banach theorem?
Ann. Pure Appl. Log., 1986

1985
Addendum to "countable algebra and set existence axioms".
Ann. Pure Appl. Log., 1985

Nichtbeweisbarkeit von gewissen kombinatorischen Eigenschaften endlicher Bäume.
Arch. Math. Log., 1985

Ein in der reinen Zahlentheorie unbeweisbarer Satz über endliche Folgen von natürlichen Zahlen.
Arch. Math. Log., 1985

1984
Which Set Existence Axioms are Needed to Prove the Cauchy/Peano Theorem for Ordinary Differential Equations?
J. Symb. Log., 1984

1983
High and Low Kleene Degrees of Coanalytic Sets.
J. Symb. Log., 1983

Countable algebra and set existence axioms.
Ann. Pure Appl. Log., 1983

1982
On the Role of Ramsey Quantifiers in First Order Arithmetic.
J. Symb. Log., 1982

1978
Sets Which Do Not Have Subsets of Every Higher Degree.
J. Symb. Log., 1978


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