Michael Rathjen

According to our database, Michael Rathjen authored at least 69 papers between 1990 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Choice and independence of premise rules in intuitionistic set theory.

Emanuele Frittaion, Takako Nemoto, Michael Rathjen

Ann. Pure Appl. Log., October, 2023

2022

Inductive and Coinductive Topological Generation with Church's thesis and the Axiom of Choice.

Maria Emilia Maietti, Samuele Maschio, Michael Rathjen

Log. Methods Comput. Sci., 2022

2021

Extensional realizability for intuitionistic set theory.

Emanuele Frittaion, Michael Rathjen

J. Log. Comput., 2021

A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice.

Maria Emilia Maietti, Samuele Maschio, Michael Rathjen

Log. Methods Comput. Sci., 2021

No speedup for geometric theories.

Michael Rathjen

CoRR, 2021

Derivatives of normal functions in reverse mathematics.

Anton Freund, Michael Rathjen

Ann. Pure Appl. Log., 2021

2020

Power Kripke-Platek set theory and the axiom of choice.

Michael Rathjen

J. Log. Comput., 2020

Lifschitz Realizability as a Topological Construction.

Michael Rathjen, Andrew W. Swan

J. Symb. Log., 2020

Minimal bad sequences are necessary for a uniform Kruskal theorem.

Anton Freund, Michael Rathjen, Andreas Weiermann

CoRR, 2020

2019

Preservation of choice principles under realizability.

Eman Dihoum, Michael Rathjen

Log. J. IGPL, 2019

Upper bounds on the graph minor theorem.

Martin Krombholz, Michael Rathjen

CoRR, 2019

A Note on the Ordinal Analysis of \mathbf RCA_0 + \mathrm WO(\mathbf σ ) RCA 0 + WO ( σ ).

Lorenzo Carlucci, Leonardo Mainardi, Michael Rathjen

Proceedings of the Computing with Foresight and Industry, 2019

2017

Long Sequences of Descending Theories and other Miscellanea on Slow Consistency.

Michael Rathjen

FLAP, 2017

Ordinal notation systems corresponding to Friedman's linearized well-partial-orders with gap-condition.

Michael Rathjen, Jeroen Van der Meeren, Andreas Weiermann

Arch. Math. Log., 2017

An order-theoretic characterization of the Howard-Bachmann-hierarchy.

Jeroen Van der Meeren, Michael Rathjen, Andreas Weiermann

Arch. Math. Log., 2017

2016

Indefiniteness in Semi-Intuitionistic Set Theories: on a Conjecture of Feferman.

Michael Rathjen

J. Symb. Log., 2016

Classifying the Provably Total set Functions of KP and KP(P).

Michael Rathjen, Jacob Cook

FLAP, 2016

2015

Well-partial-orderings and the big Veblen number.

Jeroen Van der Meeren, Michael Rathjen, Andreas Weiermann

Arch. Math. Log., 2015

2014

Constructive Zermelo-Fraenkel set theory and the limited principle of omniscience.

Michael Rathjen

Ann. Pure Appl. Log., 2014

Relativized ordinal analysis: The case of Power Kripke-Platek set theory.

Michael Rathjen

Ann. Pure Appl. Log., 2014

2013

Slow consistency.

Sy-David Friedman, Michael Rathjen, Andreas Weiermann

Ann. Pure Appl. Log., 2013

Realizability Models Separating Various Fan Theorems.

Robert S. Lubarsky, Michael Rathjen

Proceedings of the Nature of Computation. Logic, Algorithms, Applications, 2013

2012

Constructive Zermelo-Fraenkel Set Theory, Power Set, and the Calculus of Constructions.

Michael Rathjen

Proceedings of the Epistemology versus Ontology, 2012

The Friedman - Sheard programme in intuitionistic logic.

Graham Emil Leigh, Michael Rathjen

J. Symb. Log., 2012

From the weak to the strong existence property.

Michael Rathjen

Ann. Pure Appl. Log., 2012

Lifschitz realizability for intuitionistic Zermelo-Fraenkel set theory.

Ray-Ming Chen, Michael Rathjen

Arch. Math. Log., 2012

Ordinal Analysis and the Infinite Ramsey Theorem.

Bahareh Afshari, Michael Rathjen

Proceedings of the How the World Computes, 2012

2010

An ordinal analysis for theories of self-referential truth.

Graham Emil Leigh, Michael Rathjen

Arch. Math. Log., 2010

A note on the theory of positive induction, ID^*₁.

Bahareh Afshari, Michael Rathjen

Arch. Math. Log., 2010

2009

Reverse mathematics and well-ordering principles: A pilot study.

Bahareh Afshari, Michael Rathjen

Ann. Pure Appl. Log., 2009

2008

The natural numbers in constructive set theory.

Michael Rathjen

Math. Log. Q., 2008

On the constructive Dedekind reals.

Robert S. Lubarsky, Michael Rathjen

Log. Anal., 2008

2007

On the Constructive Dedekind Reals: Extended Abstract.

Robert S. Lubarsky, Michael Rathjen

Proceedings of the Logical Foundations of Computer Science, International Symposium, 2007

Theories and Ordinals: Ordinal Analysis.

Michael Rathjen

Proceedings of the Computation and Logic in the Real World, 2007

2006

Theories and Ordinals in Proof Theory.

Michael Rathjen

Synth., 2006

A note on Bar Induction in Constructive Set Theory.

Michael Rathjen

Math. Log. Q., 2006

Characterizing the interpretation of set theory in Martin-Löf typetheory.

Michael Rathjen, Sergei Tupailo

Ann. Pure Appl. Log., 2006

Models of Intuitionistic Set Theories over Partial Combinatory Algebras.

Michael Rathjen

Proceedings of the Theory and Applications of Models of Computation, 2006

2005

The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory.

Michael Rathjen

Synth., 2005

Constructive Set Theory and Brouwerian Principles.

Michael Rathjen

J. Univers. Comput. Sci., 2005

The disjunction and related properties for constructive Zermelo-Fraenkel set theory.

Michael Rathjen

J. Symb. Log., 2005

Replacement versus collection and related topics in constructive Zermelo-Fraenkel set theory.

Michael Rathjen

Ann. Pure Appl. Log., 2005

An ordinal analysis of parameter free Pi¹₂-comprehension.

Michael Rathjen

Arch. Math. Log., 2005

An ordinal analysis of stability.

Michael Rathjen

Arch. Math. Log., 2005

Generalized Inductive Definitions in Constructive Set Theory.

Michael Rathjen

Proceedings of the From sets and types to topology and analysis, 2005

2003

On the regular extension axiom and its variants.

Michael Rathjen, Robert S. Lubarsky

Math. Log. Q., 2003

Realizing Mahlo set theory in type theory.

Michael Rathjen

Arch. Math. Log., 2003

2002

Inaccessible set axions may have little consistency strength.

Laura Crosilla, Michael Rathjen

Ann. Pure Appl. Log., 2002

A note on the Sigma1 spectrum of a theory.

Michael Möllerfeld, Michael Rathjen

Arch. Math. Log., 2002

2001

Kripke-Platek Set Theory and the Anti-Foundation Axiom.

Michael Rathjen

Math. Log. Q., 2001

The strength of Martin-Löf type theory with a superuniverse. Part II.

Michael Rathjen

Arch. Math. Log., 2001

2000

The strength of Martin-Löf type theory with a superuniverse. Part I.

Michael Rathjen

Arch. Math. Log., 2000

1999

Explicit Mathematics with The Monotone Fixed Point Principle. II: Models.

Michael Rathjen

J. Symb. Log., 1999

1998

Explicit Mathematics with the Monotone Fixed Point Principle.

Michael Rathjen

J. Symb. Log., 1998

Inaccessibility in Constructive Set Theory and Type Theory.

Michael Rathjen, Edward R. Griffor, Erik Palmgren

Ann. Pure Appl. Log., 1998

1997

On the Proof-Theoretic Strength of Monotone Induction in Explicit Mathematics.

Thomas Glaß, Michael Rathjen, Andreas Schlüter

Ann. Pure Appl. Log., 1997

1996

The Recursively Mahlo Property in Second Order Arithmetic.

Michael Rathjen

Math. Log. Q., 1996

Monotone Inductive Definitions in Explicit Mathematics.

Michael Rathjen

J. Symb. Log., 1996

1995

Recent advances in ordinal analysis: pi¹₂ - CA and related systems.

Michael Rathjen

Bull. Symb. Log., 1995

The Higher Infinite in Proof Theory.

Michael Rathjen

Proceedings of the Annual European Summer Meeting of the Association of Symbolic Logic, 1995

1994

Proof Theory of Reflection.

Michael Rathjen

Ann. Pure Appl. Log., 1994

Collapsing functions based on recursively large ordinals: A well-ordering proof for KPM.

Michael Rathjen

Arch. Math. Log., 1994

The strength of some Martin-Löf type theories.

Edward R. Griffor, Michael Rathjen

Arch. Math. Log., 1994

1993

How to Develop Proof-Theoretic Ordinal Functions on the Basis of Admissible Ordinals.

Michael Rathjen

Math. Log. Q., 1993

Proof-Theoretic Investigations on Kruskal's Theorem.

Michael Rathjen, Andreas Weiermann

Ann. Pure Appl. Log., 1993

1992

A Proof-Theoretic Characterization of the Primitive Recursive Set Functions.

Michael Rathjen

J. Symb. Log., 1992

1991

The Role of Parameters in Bar Rule and Bar Induction.

Michael Rathjen

J. Symb. Log., 1991

Proof-theoretic analysis of KPM.

Michael Rathjen

Arch. Math. Log., 1991

1990

Ordinal notations based on a weakly Mahlo cardinal.

Michael Rathjen

Arch. Math. Log., 1990