Bruno Buchberger

main contributions
refereed publications
unrefereed
books - journals
invited talks
contributed talks
 

 

Contributed Talks at Conferences:

Copyright: If you download papers, please, respect the copyright of the publishers indicated at the various papers. If no publisher is explicitly mentioned, the copyright is with Bruno Buchberger.

If you download a paper, I would appreciate if you send an e-mail to buchberger@risc.uni-linz.ac.at  with the title of the paper. If you use material from the papers, please, cite them appropriately.

The files with extension .nb are Mathematica notebooks. For reading them you need Mathematica installed, see Wolfram . For executing the formulae in the input cells in some of the papers, in addition to Mathematica, you need our Theorema system, see Theorema.

2004-09-22-A: Algorithm Supported Mathematical Theory Exploration.
B. Buchberger
In: B. Buchberger, John Campbell (eds.) Proceedings of AISC 2004 (7 th International Conference on Artificial Intelligence and Symbolic Computation, September 22-24, 2004, RISC, Johannes Kepler University, Austria), Springer Lecture Notes in Artificial Intelligence, Vol. 3249, Springer, Berlin, Heidelberg, 2004.
ISSN 0302-9743, ISBN 3-540-23212-5
Copyright: Springer, Berlin

[pdf]
2004-05-27-A: Algorithmic Algorithm Synthesis: Case Study Groebner Bases.
B. Buchberger
International Algebra Conference, Moscow State University, May 26 - June 2, 2004.



[nb]
2003-03-30-A: Calculemus at RISC: The THEOREMA Project.
B. Buchberger
Calculemus Midterm Review, Saarland University and German Research Center for AI (DFKI) Saarbruecken, Germany, March 30, 2003.



[ppt]
2003-02-15-A: Theorema: Current Work.
B. Buchberger
Second International Conference on Mathematical Knowledge Management, February 16-18 2003, Bertinoro, Italy, discussion session.



2003-02-12-B: The Objective of the Institute e-Austria and the Role of the Scientific Project. Practical and Theoretical Asptects of Program Verification.
B. Buchberger
Workshop "Computer-Aided Verification of Information Systems: A Practical, Industry-Oriented Approach", Romanian-Austrian Workshop, organized by the Institute e-Austria Timisoara, February 12, 2003, Universitatea de Vest, Timisoara, Romania, pp. 1-3.



2003-02-12-A: The Institute e-Austria: Objectives and a Model Project on Program Verification.
B. Buchberger
Workshop "Computer-Aided Verification of Information Systems: A Practical, Industry-Oriented Approach", organized by the Institute e-Austria Timisoara, Feb. 12, 2003, Universitatea de Vest, Timisoara, Romania.



2002-10-20-A: Logic, Mathematics, Computer Science: The Accumulated Thinking Technology of Mankind.
B. Buchberger
Conference on Logic, Mathematics and Computer Science (LMCS 2002), Symposium in Honor of Bruno Buchberger's 60th Birthday, RISC, Hagenberg, Austria, 20-22 October, 2002, pp. 9-10.
RISC-Linz Report Series No. 02-60, ISBN 3-902276-02-9


2002-09-24-A: Formal Theory Exploration:The Lazy Thinking Paradigm.
B. Buchberger
Calculemus Meeting, Pisa, Italy, Sep 16, 2002.



2001-12-07-A: Groebner Rings.
B. Buchberger
International Conference on Computational Algebraic Geometry, University of Hyderabad, India, December 7-14, 2001.


Keywords: axiomatic approach to Groebner bases theory, least common reducibles, functor implementation, automated theorem proving, Theorema
2001-09-26-A: The Role of Logicographic Symbols for Mathematical Knowledge Management.
B. Buchberger, K. Nakagawa
Proceedings of the First International Workshop on Mathematical Knowledge Management (MKM) (B. Buchberger, O. Caprotti eds), RISC-Linz, A-4232 Schloss Hagenberg, September 24-26, 2001.
www.risc.uni-linz.ac.at/institute/conferences/MKM2001/



2001-09-25-A: Introduction to Mathematical Knowledge Management.
B. Buchberger
First International Workshop on Mathematical Knowledge Management, RISC-Linz, A-4232 Schloss Hagenberg, Austria, Sep 24-26, 2001.



2001-09-24-A: Mathematical Knowledge Management in THEOREMA.
B. Buchberger
In: B. Buchberger, O. Caprotti (eds.), First International Workshop on Mathematical Knowledge Management (MKM 2001), RISC-Linz, A-4232 Schloss Hagenberg, September 24-26, 2001, 17 pages.



2001-03-26-A: Mathematik: Denktechnologie für das Software-Zeitalter (Mathematics: Thinking Technology for the Software Age).
B. Buchberger
Presentation Day of the Software Competence Center Hagenberg, Schloss Hagenberg, Austria, March 26, 2001.



2001-02-19-B: The PCS Prover in Theorema.
B. Buchberger
In: R. Moreno-Diaz, B. Buchberger, J.L. Freire (eds.), Proceedings of EUROCAST 2001 (8th International Conference on Computer Aided Systems Theory - Formal Methods and Tools for Computer Science), Feb. 19-23, 2001, Las Palmas de Gran Canaria, Lecture Notes in Computer Science 2178, 2201.
ISSN 0302-9743, ISBN 3-540-42959-X
Copyright: Springer - Verlag Berlin.
Keywords: proving - solving - computing, automated theorem proving, proof example, limit of sum, Collins' algorithm
[abstract][ps][pdf]
2000-11-17-A: IT-Revolution: Anforderungen an die IT-Revolutionäre
B. Buchberger
MCI Conference on the IT Revolution, Innsbruck, Austria, November 17, 2000.



1999-11-22-A: Towards Algorithm Verification in Theorema
B. Buchberger
Workshop on Validated Software, Schloss Dagstuhl, Germany, November 22, 1999.



1999-10-06-A: Mathematics: Obsolete Knowledge or Key Technology?
B. Buchberger
Seminar "European Women in Management", RISC, Hagenberg, October 6, 1999.



1999-08-25-A: Theorema: A Proving System Based on Mathematica
B. Buchberger
International Mathematica Symposium, RISC, Hagenberg, August 25, 1999.



1999-08-18-A: Theorema: A Proving System Based on Mathematica.
B. Buchberger
International Symposium on Symbolic and Numeric Scientific Computing, RISC, Hagenberg, Austria, August 18, 1999.



1999-04-01-A: Distance Teaching of Mathematics Using Theorema.
B. Buchberger, T. Jebelean
Proceedings of the 3rd Technion Symposium on Software for Communication (H. Gutmann ed.), April 1-3, 1999, Hagenberg, Austria



1998-08-10-A: Using Theorema for Mathematical Education.
B. Buchberger,T. Jebelean
IMACS Conference on Applied Computer Algebra, Prague, Czech Republic, August 10, 1998.



1998-06-29-A: Overview on the Theorema System.
B. Buchberger
International Theorema Workshop, RISC, Hagenberg, Austria, June 29, 1998.



1998-02-03-A: Gröbner Bases: The Early Days.
B. Buchberger
Conference "33 Years of Gröbner Bases, RISC, Hagenberg, Austria, Feb. 3, 1998.



1998-02-02-A: Introduction to Gröbner Bases..
B. Buchberger
Conference "33 Years of Gröbner Bases, RISC, Hagenberg, Austria, Feb. 2, 1998.



1998-01-12-A: The Main Theorem and Elementary Applications of Groebner Bases Theory. (8 hours)
B. Buchberger
Intensive Course on Groebner Bases, RISC, Hagenberg, Austria, Jan. 12-17, 1998.



1997-09-17-A: The Theorema Project: An Overview.
B. Buchberger
Symposium on the TARA Project, Univ. of Tsukuba, Japan, Sep. 17, 1997.



1997-07-28-A: The White-Box / Black-Box Principle in the Didatics of Symbolic Computation.
B. Buchberger
IMACS Computer Algebra Conference, Maui, Hawaii, USA, July 28, 1997.



1997-07-27-A: Application of Theorema for Proof Training.
B. Buchberger,T. Jebelean
IMACS Computer Algebra Conference, Maui, Hawaii, USA, July 27, 1997.



1997-07-21-A: A Survey of the Theorema project.
B. Buchberger, T. Jebelean, F. Kriftner, M. Marin, E. Tomuta, D. Vasaru
In: Proceedings of ISSAC'97 (International Symposium on Symbolic and Algebraic Computation, Maui, Hawaii, July 21-23, 1997), W. Kuechlin (ed.), ACM Press 1997, pp. 384—391.
ISBN 0-89791-875-4


1997-06-06-A: Overview on Theorema
B. Buchberger
First International Theorema Workshop, RISC, Hagenberg, Austria, June 6, 1997.



1997-05-26-A: Functors for Mathematics.
B. Buchberger
Conference "Computer Algebra and Algebraic Geometry", Dagstuhl, Germany, May 26, 1997.



1997-05-00-A: A Survey of the Theorema Project and its Applications for Interactive Textbooks in Mathematics.
B. Buchberger, T. Jebelean, F. Kriftner, M. Marin, E. Tomuta, D. Vasaru
MATILDA'97 (International Workshop on Mathematical Tools in Interactive Learning), Amsterdam, the Netherlands, May 1997.



1997-04-28-B: Special Provers within the Theorema Project
B. Buchberger, M. Marin, E. Tomuta, D. Vasaru
CALCULEMUS'97 (International Workshop on Systems for Integrated Computation and Deduction, Trento, Italy, April 28-30, 1997).



1997-04-28-A: The Present State of the Theorema Project and the Predicate Logic Prover.
B. Buchberger, T. Jebelean, F. Kriftner
CALCULEMUS'97 (International Workshop on Systems for Integrated, Computation and Deduction, Trento, Italy, April 28-30, 1997).



1997-04-00-A: Natural Language Proofs in Nested Cells Representation.
B. Buchberger
First International Workshop on Proof Transformation and Presentation, Schloss Dagstuhl, Germany, April 1997.



1997-01-30-A: Neural Networks and Symbolic Computation in Robotics.
B. Buchberger,W. Jacak
Real World Computing Conference, Poster Session, Tokyo, Japan, Jan. 30, 1997.



1996-11-16-A: The Present State of the Theorema Project.
B. Buchberger
TMR Meeting Calculemus, Dagstuhl, Germany, Nov. 16, 1996.



1996-03-10-A: Overview on the Theorema Project at RISC.
B. Buchberger
TMR Meeting "Caclulemus", Univ. di Roma III, Italy, March 10, 1996.



1993-03-00-A: Systolic Multiprecision Arithmetic
B. Buchberger, T. Jebelean
In: Proc. of Impact TEMPUS JEP and Hungarian Transputer Users Group Workshop ``Parallel Processing in Education'', Miskolc, Hungary, March 1993.



1988-10-00-A: Determinant Polynomials and Gröbner Bases
B. Buchberger
Workshop on Groebner Bases, Cornell University, USA, 1987.



1987-02-00-A: The Parallelization of Critical-Pair/Completion Procedures on the L-Machine.
B. Buchberger
Proc. of the Japanese Symp. on Functional Programming, Feb. 1987, RIKEN Institute, pp. 54-61.



1985-09-00-B: Exact Computation by Hensel Codes: Complete Procedures.
B. Buchberger, K. Dittenberger
Proc. of the Conference on Computer Algebra and Its Applications in Theoretical Physics, Dubna (Moscow), Sept. 1985.



1985-09-00-A: The L-Language for the Parallel L-Machine (A Parallel Architecture for AI Applications)
B. Buchberger, P. Hintenaus
In: H. Trost, J. Retti (eds.), Proceedings of the Conference of the Austrian Society for Aritificial Intelligence, Vienna, September 1985, Informatik-Fachberichte, Vol. 106, pp. 120-131.
ISBN 3-540-15695-X
Copyright: Springer - Verlag Berlin.

[pdf]
1985-07-00-A: The L-Machine: An Attempt at Parallel Hardware for Symbolic Computation
B. Buchberger
Proceedings of the AAECC Conference, Grenoble, July 1985, Springer Lecture Notes in Computer Science 229, pp. 333-347.



[pdf]
1985-04-01-A: The Parallel L-Machine for Symbolic Computation
B. Buchberger
In B.F. Caviness (ed.): Proceedings of EUROCAL '85 (European Conference on Computer Algebra), Linz, Austria, April 1-3, 1985, Proceedings Vol.2: Research Contributions, Lectures Notes in Computer Science, Vol. 204, pp. 541-542.
ISBN 3-540-15984-3.
Copyright: Springer - Verlag Berlin.

[pdf]
1984-06-05-A: The Present State of the L-Networks Project
B. Buchberger
In: G. Mastronardi (ed.), Proceedings MIMI 84 (Conference on Mini- and Microcomputers and Their Applications), Bari, Juni 5-8, 1984, Acta Press, Anaheim - Calgary - Zurich, pp. 178-181.
ISBN 0-88986-058-0
Copyright: Acta Press, Anaheim.

[pdf]
1984-00-00-F: A Critical-Pair/Completion Algorithm for Finitely Generated Ideals in Rings.
B. Buchberger
In: E. Börger, G. Hasenjaeger, D. Rödding (eds), Logic and Machines: Decision Problems and Complexity (Proceedings of the Symposium "Rekursive Kombinatorik", Münster, May 23-28, 1983), Lecture Notes in Computer Science, Vol. 171, Springer, Berlin - Heidelberg - New York -Tokyo, 1984, pp. 137-161.
ISBN 3-540-13331-3, ISBN 0-387-13331-3
Copyright: Springer - Verlag Berlin.

[pdf]
1983-10-04-A: Groebner Bases in General Rings
B. Buchberger
"Les Journées de Saint-Etienne: Algorithmique, Calcul Formel, Arithmetique", 4 October, 1983, Université de Saint-Etienne.



1983-10-03-A: Parallel Symbolic Computation Using the L-Machine.
B. Buchberger
5eme "Les Journées de Saint-Etienne: Algorithmique, Calcul Formel, Arithmetique", 3-8 October, 1983, Université de Saint-Etienne, U.E.R de Sciences.



1983-06-00-A: Components for Restructurable Multi-Microprocessor Systems of Arbitrary Topology
B. Buchberger
Prof. of the 21st Symp. on Mini- and Microcomputers, MIMI 83, Lugano, June 1983, pp. 67-71.



1983-03-00-D: L-Networks: Multi-Microprocessor Systems for Parallel Algorithms in Computer Algebra
B. Buchberger
European Computer Algebra Conference (EUROCAL 83), Informal Session, London, March, 1983.



1983-03-00-A: Forschung und Lehre in der Arbeitsgruppe CAMP-Linz (Research and Teaching Activities in the Working Group CAMP in Linz)
B. Buchberger
Symposium "Reports from Austrian Computer Science Institutes", Innsbruck, Austria, March, 1983.



1983-01-16-A: A Critical-Pair/Completion Algorithm for Ideals in Z[x1, ... , xn].
B. Buchberger
Workshop "Anwendbare Algebra", Mathematisches Forschungsinstitut Oberwolfach, 16-22 January, 1983, Tagunsbericht 4|1983, pp.2.



1981-03-02-B: L-Netzwerke: Eine paralleles Sprachkonzept mit Hardware-Realisierung (L-networks: A Parallel Language Concept with Hardware Implementation)
B. Buchberger, B.Quatember
Symposium "Reports form Austrian Computer Science Institutes", University of Graz, Austria, March 2-3, 1981.



1981-03-02-A: Mathematik für Informatik: Ein didaktisches Projekt (Mathematics for Computer Scienc: A Didactic Project)
B. Buchberger, F.Lichtenberger
Symposium "Reports form Austrian Computer Science Institutes", University of Graz, Austria, March 2-3, 1981.



1981-01-13-A: A Simplified Proof of the Characterization Theorem for Gröbner-Bases
L. Bachmair, B. Buchberger
Joint SAM-AFCET/NIGSAM/SEAS-SMC Meeting on Computer Algebra, Antwerp, Belgium, January 13-15, 1981.



1980-09-00-A: A Universal Variable-Topology Multi-Microcomputer-System
B. Buchberger, K. Aspetsberger
Proc. of the 6th International Symphosium on Mini- and Microcomputers, MIMI '80, Budapest, Hungary, September, 1980, pp. 136-140.



[pdf]
1979-09-18-B: Automatisches Beweisen und Kuenstliche Intelligenz (Automated Theorem Proving and Artificial Intelligence)
B. Buchberger
Workshop on Cryptographical Methods, Institute of System Sciences, University of Linz, Austria, September 18-20, 1979.



1979-09-18-A: Ein Ueberblick ueber die Forschungsaktivitaeten in der Arbeitsgruppe CAMP in Linz (An Overview on the Research Activities of the Working Group CAMP in Linz)
B. Buchberger, F.Lichtenberger
Symposium "Reports form Austrian Computer Science Institutes", University of Linz, Austria, September 18-19, 1979.



1979-00-00-A: Computer Trees: A Concept for Parallel Processing
B. Buchberger, J. Fegerl, F. Lichtenberger
Microprocessing and Microsystems 3/6, 1979, pp. 244-248.



[pdf]
1978-02-00-A: Computer-Trees and Their Programming
B. Buchberger
Proc. of the 4th Coll. "Les arbres en algebre et en programmation", Feb.16-18, 1978, University of Lille, Dpt. of Computer Science, pp. 1-18, 1978.



[pdf]
1977-03-21-A: Simulation-Universal Automata
B. Buchberger, W. Menzel
Proc. of the Internat. Workshop on Semantics of Programming Languages, Bad Honnef, March 21-25, 1977. Report No.41, Universität Dortmund, Abteilung Informatik, pp. 30-34.



1975-02-02-A: Effektive Systeme als Rahmen fuer die digitale Computerwissenschaft (Effective Systems as a Framework for Digital Computer Science)
B. Buchberger
Austrian Mathematical Syposium, Linz, Austria, February 2, 1975.



1972-11-00-A: Modifications of Programs at Execution Time
B. Buchberger
Symposium on Programming Languages, Oberwolfach, Germany, November, 1972.



1972-04-00-A: Ueber gewisse Zerlegungen von Goedel-Nummerierungen (On Certain Decompositions of Goedel Numberings)
B. Buchberger
Symposium on Mathematical Logic, Oberwolfach, Germany, April, 1972.