Bruno Buchberger

Affiliations:

Johannes Kepler University, Linz, Austria

According to our database¹, Bruno Buchberger authored at least 92 papers between 1970 and 2023.

Collaborative distances:

Dijkstra number² of four.
Erdős number³ of four.

Timeline

Legend:

Book

In proceedings

Article

PhD thesis

Dataset

Other

Bibliography

2023

Automated programming, symbolic computation, machine learning: my personal view.

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[DOI]

Bruno Buchberger

Ann. Math. Artif. Intell., October, 2023

Correction to: Preface.

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[DOI]

Ann. Math. Artif. Intell., October, 2023

Preface.

[BibT_eX]

[DOI]

Ann. Math. Artif. Intell., October, 2023

2022

Vladimir Gerdt: A Computer Algebra Enthusiast.

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[DOI]

Bruno Buchberger

Math. Comput. Sci., 2022

2021

Symbolic Computation in Software Science: My Personal View.

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[DOI]

Bruno Buchberger

Proceedings of the 9th International Symposium on Symbolic Computation in Software Science, 2021

2017

Gröbner Bases Computation and Macaulay Matrices.

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[DOI]

Bruno Buchberger

Proceedings of the 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2017

2016

Theorema 2.0: Computer-Assisted Natural-Style Mathematics.

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[DOI]

J. Formaliz. Reason., 2016

Satisfiability Checking meets Symbolic Computation (Project Paper).

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[DOI]

CoRR, 2016

Satisfiability checking and symbolic computation.

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[DOI]

ACM Commun. Comput. Algebra, 2016

SC<sup>2</sup>: Satisfiability Checking Meets Symbolic Computation - (Project Paper).

[BibT_eX]

[DOI]

Proceedings of the Intelligent Computer Mathematics - 9th International Conference, 2016

The GDML and EuKIM Projects: Short Report on the Initiative.

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[DOI]

Bruno Buchberger

Proceedings of the Mathematical Software - ICMS 2016, 2016

Stam's Identities Collection: A Case Study for Math Knowledge Bases.

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[DOI]

Bruno Buchberger

Proceedings of the Mathematical Software - ICMS 2016, 2016

2015

Special issue on symbolic computation in software science.

[BibT_eX]

[DOI]

J. Symb. Comput., 2015

Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates.

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[DOI]

Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014

Complexity Analysis of the Bivariate Buchberger Algorithm in Theorema.

[BibT_eX]

[DOI]

Alexander Maletzky

Bruno Buchberger

Proceedings of the Mathematical Software - ICMS 2014, 2014

Groebner Bases in Theorema.

[BibT_eX]

[DOI]

Bruno Buchberger

Alexander Maletzky

Proceedings of the Mathematical Software - ICMS 2014, 2014

Soft Math Math Soft.

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[DOI]

Bruno Buchberger

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

Mathematics of 21st Century: A Personal View.

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[DOI]

Bruno Buchberger

Proceedings of the 5th International Symposium on Symbolic Computation in Software Science, 2013

2012

Transforming problems from analysis to algebra: A case study in linear boundary problems.

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[DOI]

Bruno Buchberger

Markus Rosenkranz

J. Symb. Comput., 2012

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases

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[DOI]

CoRR, 2012

2011

Buchberger's algorithm.

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[DOI]

Bruno Buchberger

Manuel Kauers

Scholarpedia, 2011

2010

Groebner basis.

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[DOI]

Bruno Buchberger

Manuel Kauers

Scholarpedia, 2010

An Automated Confluence Proof for an Infinite Rewrite System Parametrized over an Integro-Differential Algebra.

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[DOI]

Proceedings of the Mathematical Software, 2010

2009

Combining logical and algebraic techniques for natural style proving in elementary analysis.

[BibT_eX]

[DOI]

Róbert Vajda

Tudor Jebelean

Bruno Buchberger

Math. Comput. Simul., 2009

A Symbolic Framework for Operations on Linear Boundary Problems.

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[DOI]

Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

Algorithms in Symbolic Computation.

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[DOI]

Proceedings of the Hagenberg Research, 2009

Automated Reasoning.

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[DOI]

Proceedings of the Hagenberg Research, 2009

Hagenberg Research: Introduction.

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[DOI]

Bruno Buchberger

Proceedings of the Hagenberg Research, 2009

2008

General polynomial reduction with TH 9 OREM 8 functors: applications to integro-differential operators and polynomials.

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[DOI]

ACM Commun. Comput. Algebra, 2008

2007

Journal as Active Math-Agents: Outline of a Project with a Mathematics Publisher.

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[DOI]

Bruno Buchberger

Proceedings of the Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2007

2006

Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal.

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[DOI]

Bruno Buchberger

J. Symb. Comput., 2006

Comments on the translation of my PhD thesis.

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[DOI]

Bruno Buchberger

J. Symb. Comput., 2006

Theorema: Towards computer-aided mathematical theory exploration.

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[DOI]

J. Appl. Log., 2006

Theorema.

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[DOI]

Wolfgang Windsteiger

Bruno Buchberger

Markus Rosenkranz

Proceedings of the Seventeen Provers of the World, Foreword by Dana S. Scott, 2006

Mathematical Theory Exploration.

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[DOI]

Bruno Buchberger

Proceedings of the Automated Reasoning, Third International Joint Conference, 2006

2005

A view on the future of symbolic computation.

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[DOI]

Bruno Buchberger

Proceedings of the Symbolic and Algebraic Computation, 2005

05391 Abstracts Collection - Algebraic and Numerical Algorithms and Computer-assisted Proofs.

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[DOI]

Proceedings of the Algebraic and Numerical Algorithms and Computer-assisted Proofs, 2005

05391 Executive Summary - Numerical and Algebraic Algorithms and Computer-assisted Proofs.

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[DOI]

Proceedings of the Algebraic and Numerical Algorithms and Computer-assisted Proofs, 2005

2004

Predicate Logic with Sequence Variables and Sequence Function Symbols.

[BibT_eX]

[DOI]

Temur Kutsia

Bruno Buchberger

Proceedings of the Mathematical Knowledge Management, Third International Conference, 2004

Proving and Constraint Solving in Computational Origami.

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[DOI]

Proceedings of the Artificial Intelligence and Symbolic Computation, 2004

Algorithm-Supported Mathematical Theory Exploration: A Personal View and Strategy.

[BibT_eX]

[DOI]

Bruno Buchberger

Proceedings of the Artificial Intelligence and Symbolic Computation, 2004

Computational Origami Construction of a Regular Heptagon with Automated Proof of Its Correctness.

[BibT_eX]

[DOI]

Proceedings of the Automated Deduction in Geometry, 5th International Workshop, 2004

2003

Algorithm Synthesis by Lazy Thinking: Examples and Implementation in Theorema.

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[DOI]

Bruno Buchberger

Adrian Craciun

Proceedings of the Mathematical Knowledge Management Symposium, 2003

Preface.

[BibT_eX]

[DOI]

Bruno Buchberger

Gaston H. Gonnet

Michiel Hazewinkel

Ann. Math. Artif. Intell., 2003

Computational Mathematics, Computational Logic, and Symbolic Computation (Invited Lecture).

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[DOI]

Bruno Buchberger

Proceedings of the Computer Science Logic, 17th International Workshop, 2003

2002

Computer algebra: the end of mathematics?

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[DOI]

Bruno Buchberger

SIGSAM Bull., 2002

Focus Windows: A New Technique for Proof Presentation.

[BibT_eX]

[DOI]

Florina Piroi

Bruno Buchberger

Proceedings of the Artificial Intelligence, 2002

2001

Gröbner Bases and Systems Theory.

[BibT_eX]

[DOI]

Bruno Buchberger

Multidimens. Syst. Signal Process., 2001

The PCS Prover in THEOREMA.

[BibT_eX]

[DOI]

Bruno Buchberger

Proceedings of the Computer Aided Systems Theory, 2001

Gröbner Bases: A Short Introduction for Systems Theorists.

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[DOI]

Bruno Buchberger

Proceedings of the Computer Aided Systems Theory, 2001

1999

Theory exploration versus theorem proving.

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[DOI]

Bruno Buchberger

Proceedings of the Systems for Integrated Computation and Deduction, 1999

1997

Computing, Solving, Proving: A Survey on the Theorema Project (Abstract).

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[DOI]

Bruno Buchberger

Proceedings of the Logic Programming and Nonmonotonic Reasoning, 1997

A Survey of the Theorema Project.

[BibT_eX]

[DOI]

Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1996

Symbolic Computation: Computer Algebra and Logic.

[BibT_eX]

Bruno Buchberger

Proceedings of the Frontiers of Combining Systems, 1996

1995

Symbolic computation-based synthesis of neural network dynamics and controller for robots.

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[DOI]

Proceedings of International Conference on Neural Networks (ICNN'95), Perth, WA, Australia, November 27, 1995

Symbolic Computation Software Systems: The Current State of Technology.

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Bruno Buchberger

Proceedings of the EUROSIM'96, 1995

What Is Symbolic Computation?

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[DOI]

Bruno Buchberger

Proceedings of the Principles and Practice of Constraint Programming, 1995

1993

Mathematica: A System for Doing Mathematics by Computer? (Abstract).

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[DOI]

Bruno Buchberger

Proceedings of the Design and Implementation of Symbolic Computation Systems, 1993

1992

Gröbner Bases: An Introduction.

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[DOI]

Bruno Buchberger

Proceedings of the Automata, Languages and Programming, 19th International Colloquium, 1992

1991

Gröbner Bases in Mathematica: Enthusiasm and Frustration.

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Bruno Buchberger

Proceedings of the Programming Environments for High-Level Scientific Problem Solving, 1991

1990

Special Issue Computational Algebraic Complexity Editorial.

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[DOI]

Erich L. Kaltofen

Bruno Buchberger

J. Symb. Comput., 1990

Should Students Learn Integration Rules?

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[DOI]

Bruno Buchberger

SIGSAM Bull., 1990

1988

Algebraic Methods for Non-Linear Computational Geometry (Invited Address).

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[DOI]

Bruno Buchberger

Proceedings of the Fourth Annual Symposium on Computational Geometry, 1988

1987

History and Basic Features of the Critical-Pair/Completion Procedure.

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[DOI]

Bruno Buchberger

J. Symb. Comput., 1987

Applications of Gröbner Bases in Non-linear Computational Geometry.

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[DOI]

Bruno Buchberger

Proceedings of the Trends in Computer Algebra, 1987

1985

Algorithm 628: An Algorithm for Constructing Canonical Bases of Polynomial Ideals.

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[DOI]

ACM Trans. Math. Softw., 1985

Towards a connection machine for logical inference.

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[DOI]

Wolfgang Bibel

Bruno Buchberger

Future Gener. Comput. Syst., 1985

CAMP: a teaching project in symbolic computation at the University of Linz.

[BibT_eX]

[DOI]

Bruno Buchberger

ACM Commun. Comput. Algebra, 1985

Basic Features and Development of the Critical-Pair/Completion Procedure.

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[DOI]

Bruno Buchberger

Proceedings of the Rewriting Techniques and Applications, First International Conference, 1985

The L-Language for the Parallel L-Machine.

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[DOI]

Peter Hintenaus

Bruno Buchberger

Proceedings of the Österreichische Artificial Intelligence-Tagung, 1985

The Parallel L-Machine for Symbolic Computation.

[BibT_eX]

[DOI]

Bruno Buchberger

Proceedings of the EUROCAL '85, 1985

The L-Machine: An Attempt at Parallel Hardware for Symbolic Computation.

[BibT_eX]

[DOI]

Bruno Buchberger

Proceedings of the Algebraic Algorithms and Error-Correcting Codes, 1985

1984

Algorithms: R Sedgewick Addison-Wesley, Reading, MA, USA (1983) £13.95 pp 551.

[BibT_eX]

[DOI]

Bruno Buchberger

Microprocess. Microsystems, 1984

Abstracts.

[BibT_eX]

[DOI]

S. Kamal Abdali

Bruno Buchberger

SIGSAM Bull., 1984

1983

A criterion for eliminating unnecessary reductions in the Knuth-Bendix algorithm.

[BibT_eX]

[DOI]

Franz Winkler

Bruno Buchberger

SIGSAM Bull., 1983

A critical-pair/completion algorithm for finitely generated ideals in rings.

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[DOI]

Bruno Buchberger

Proceedings of the Logic and Machines: Decision Problems and Complexity, 1983

A note on the complexity of constructing Gröbner-Bases.

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[DOI]

Bruno Buchberger

Proceedings of the Computer Algebra, 1983

Computer algebra: symbolic and algebraic computation, 2nd Edition.

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[DOI]

Bruno Buchberger

Springer, ISBN: 038781776X, 1983

1982

Computer algebra symbolic and algebraic computation.

[BibT_eX]

[DOI]

SIGSAM Bull., 1982

Computer-unterstützter Algorithmenentwurf.

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[DOI]

Bruno Buchberger

Proceedings of the Künstliche Intelligenz, 1982

The Construction of Multivariate Polynomials with Preassigned Zeros.

[BibT_eX]

[DOI]

H. Michael Möller

Bruno Buchberger

Proceedings of the Computer Algebra, 1982

Computer algebra - symbolic and algebraic computation.

[BibT_eX]

[DOI]

Bruno Buchberger

Computing Supplementa 4, Springer, ISBN: 0387816844, 1982

1980

A simplified proof of the characterization theorem for Gröbner-bases.

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[DOI]

Leo Bachmair

Bruno Buchberger

SIGSAM Bull., 1980

Mathematik für Informatiker I: Die Methode der Mathematik

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[DOI]

Bruno Buchberger

Franz Lichtenberger

Informatik-Fachberichte 35, Springer, ISBN: 3-540-10417-8, 1980

1979

Computer trees: a concept for parallel processing.

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[DOI]

Bruno Buchberger

J. Fegerl

Franz Lichtenberger

Microprocess. Microsystems, 1979

A criterion for detecting unnecessary reductions in the construction of Groebner bases.

[BibT_eX]

[DOI]

Bruno Buchberger

Proceedings of the Symbolic and Algebraic Computation, 1979

1978

An improved algorithmic construction of Gröbner-bases for polynomial ideals.

[BibT_eX]

[DOI]

Christoph Kollreider

Bruno Buchberger

SIGSAM Bull., 1978

1976

Some properties of Gröbner-bases for polynomial ideals.

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[DOI]

Bruno Buchberger

SIGSAM Bull., 1976

A theoretical basis for the reduction of polynomials to canonical forms.

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[DOI]

Bruno Buchberger

SIGSAM Bull., 1976

1972

Bemerkung zu den Reduzierbarkeitskriterien von<i>R.Albrecht</i> für das Optimum-Mix-Problem.

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[DOI]

Bruno Buchberger

Z. Oper. Research, 1972

Certain decompositions of Gödel numbering and the semantics of programming languages.

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[DOI]

Bruno Buchberger

Proceedings of the International Sympoisum on Theoretical Programming, 1972

1970

Algorithmus 13 Lösung eines Optimum-Mix-Problemes.

[BibT_eX]

[DOI]

R. Albrecht

Bruno Buchberger

Computing, 1970

Bruno Buchberger

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