Peter Schuster

Orcid: 0000-0002-6831-2057

Affiliations:
  • University of Verona, Italy
  • University of Leeds, Department of Pure Mathematics, UK (former)
  • University of Munich, Germany (former)


According to our database1, Peter Schuster authored at least 65 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

Legend:

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Bibliography

2024
A General Constructive Form of Higman's Lemma.
Proceedings of the 32nd EACSL Annual Conference on Computer Science Logic, 2024

2023
Radical theory of Scott-open filters.
Theor. Comput. Sci., February, 2023

A Constructive Picture of Noetherian Conditions and Well Quasi-orders.
Proceedings of the Unity of Logic and Computation, 2023

2022
A universal algorithm for Krull's theorem.
Inf. Comput., 2022

The Jacobson radical for an inconsistency predicate.
Comput., 2022

The Jacobson radical of a Propositional Theory.
Bull. Symb. Log., 2022

Maximal Ideals in Countable Rings, Constructively.
Proceedings of the Revolutions and Revelations in Computability, 2022

2021
Geometric Logic, Constructivisation, and Automated Theorem Proving (Dagstuhl Seminar 21472).
Dagstuhl Reports, 2021

A General Glivenko-Gödel Theorem for Nuclei.
Proceedings of the Proceedings 37th Conference on Mathematical Foundations of Programming Semantics, 2021

2020
On Scott's semantics for many-valued logic.
J. Log. Comput., 2020

Resolving finite indeterminacy: A definitive constructive universal prime ideal theorem.
Proceedings of the LICS '20: 35th Annual ACM/IEEE Symposium on Logic in Computer Science, 2020

The Computational Significance of Hausdorff's Maximal Chain Principle.
Proceedings of the Beyond the Horizon of Computability, 2020

Modal Logic for Induction.
Proceedings of the 13th Conference on Advances in Modal Logic, 2020

2019
Some forms of excluded middle for linear orders.
Math. Log. Q., 2019

Preface for the special issue of Proof, Structure, and Computation 2014.
J. Log. Comput., 2019

An Algorithmic Approach to the Existence of Ideal Objects in Commutative Algebra.
Proceedings of the Logic, Language, Information, and Computation, 2019

2018
A General Extension Theorem for Directed-Complete Partial Orders.
Reports Math. Log., 2018

Suzumura Consistency, an Alternative Approach.
FLAP, 2018

2017
Eliminating Disjunctions by Disjunction Elimination.
Bull. Symb. Log., 2017

2016
Editorial.
FLAP, 2016

Preface.
Ann. Pure Appl. Log., 2016

2014
Constructing Gröbner bases for Noetherian rings.
Math. Struct. Comput. Sci., 2014

Approximating Beppo Levi's principio di Approssimazione.
Bull. Symb. Log., 2014

2013
Are There Enough Injective Sets?
Stud Logica, 2013

A generalized cut characterization of the fullness axiom in CZF.
Log. J. IGPL, 2013

Induction in Algebra: a First Case Study.
Log. Methods Comput. Sci., 2013

2012
The Weak Koenig Lemma, Brouwer's Fan Theorem, De Morgan's Law, and Dependent Choice.
Reports Math. Log., 2012

The Kripke schema in metric topology.
Math. Log. Q., 2012

A predicative completion of a uniform space.
Ann. Pure Appl. Log., 2012

Preface.
Ann. Pure Appl. Log., 2012

A Direct Proof of Wiener's Theorem.
Proceedings of the How the World Computes, 2012

2011
Noetherian orders.
Math. Struct. Comput. Sci., 2011

Uniqueness, continuity and the existence of implicit functions in constructive analysis.
LMS J. Comput. Math., 2011

Minima and best approximations in constructive analysis.
J. Log. Anal., 2011

Unique paths as formal points.
J. Log. Anal., 2011

On the contrapositive of countable choice.
Arch. Math. Log., 2011

2010
On Choice Principles and Fan Theorems.
J. Univers. Comput. Sci., 2010

Problems, solutions, and completions.
J. Log. Algebraic Methods Program., 2010

2009
Spectral schemes as ringed lattices.
Ann. Math. Artif. Intell., 2009

2008
The Zariski spectrum as a formal geometry.
Theor. Comput. Sci., 2008

Apartness, compactness and nearness.
Theor. Comput. Sci., 2008

Editorial: Math. Log. Quart. 1/2008.
Math. Log. Q., 2008

A continuity principle, a version of Baire's theorem and a boundedness principle.
J. Symb. Log., 2008

2007
Corrigendum to "Unique solutions".
Math. Log. Q., 2007

Problems as Solutions.
Proceedings of the Computation and Logic in the Real World, 2007

2006
Binary Refinement Implies Discrete Exponentiation.
Stud Logica, 2006

Classifying Dini's Theorem.
Notre Dame J. Formal Log., 2006

Unique solutions.
Math. Log. Q., 2006

The fan theorem and unique existence of maxima.
J. Symb. Log., 2006

Ideals in constructive Banach algebra theory.
J. Complex., 2006

Formal Zariski topology: Positivity and points.
Ann. Pure Appl. Log., 2006

Quasi-apartness and neighbourhood spaces.
Ann. Pure Appl. Log., 2006

Do Noetherian Modules Have Noetherian Basis Functions?.
Proceedings of the Logical Approaches to Computational Barriers, 2006

2005
What is Continuity, Constructively?
J. Univers. Comput. Sci., 2005

On constructing completions.
J. Symb. Log., 2005

Strong continuity implies uniform sequential continuity.
Arch. Math. Log., 2005

A Nilregular Element Property.
Proceedings of the Mathematics, Algorithms, Proofs, 9.-14. January 2005, 2005

Compactness in apartness spaces?
Proceedings of the Spatial Representation: Discrete vs. Continuous Computational Models, 2005

2004
Compactness under constructive scrutiny.
Math. Log. Q., 2004

2003
Unique existence, approximate solutions, and countable choice.
Theor. Comput. Sci., 2003

2002
Apartness, Topology, and Uniformity: a Constructive View.
Math. Log. Q., 2002

Compactness and Continuity, Constructively Revisited.
Proceedings of the Computer Science Logic, 16th International Workshop, 2002

2001
Apartness as a Relation Between Subsets.
Proceedings of the Combinatorics, 2001

2000
A Constructive Look at Generalised Cauchy Reals.
Math. Log. Q., 2000

1999
Linear Independence without Choice.
Ann. Pure Appl. Log., 1999


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