Dr. Alexander Dreyer
 
 
 
Fraunhofer-Institut für Techno-und Wirtschaftsmathematik
Fraunhofer-Platz 1
67663 Kaiserslautern
Germany


Dr. Alexander Dreyer
Room H2.12
+49 (0) 6 31 / 3 16 00-43 18
+49 (0) 6 31 / 3 16 00-53 18

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Alexander Dreyer
Competences
Projects / Products

Polynomials over Boolean Rings (PolyBoRi)
Verification and Simulation of Embedded Hybrid Systems (VerSiS)
Intelligent Materials for Active Noise Reduction (InMAR)

Analog Insydes

Publications
  • M. Brickenstein, A. Dreyer, PolyBoRi: A framework for Gröbner basis computations with Boolean polynomials, Journal of Symbolic Computation, Volume 44, Issue 9 (2009), September 2009, pp. 1326–1345, doi:10.1016/j.jsc.2008.02.017
  • M. Brickenstein, A. Dreyer, Gröbner-free normal forms for boolean polynomials, ISSAC '08: Proceedings of the twenty-first international symposium on symbolic and algebraic computation, Linz/Hagenberg, Austria, ACM, New York, NY, USA (2008), pp. 55-62, Online Version
  • M. Brickenstein, A. Dreyer, G. Greuel, M. Wedler, O. Wienand, New developments in the theory of Groebner bases and applications to formal verification, Journal of Pure and Applied Algebra, Special issue on Theoretical Effectivity and Practical Effectivity of Gröbner Bases, Volume 213, Issue 8, August 2009, pp. 1612–1635, doi:10.1016/j.jpaa.2008.11.043 Preprint
  • M. Brickenstein, A. Dreyer, PolyBoRi: A Gröbner Basis Framework for Boolean Polynomials, Reports of Fraunhofer ITWM, No. 122, Kaiserslautern, Germany, 2007.
    pdf file (1.2M)
  • M. Brickenstein, A. Dreyer, PolyBoRi: A framework for Gröbner basis computations with Boolean polynomials, Electronic Proceedings of the MEGA 2007 - Effective Methods in Algebraic Geometry, Strobl, Austria, June 2007, Online Version
  • R. Gentilini, K. Schneider, A. Dreyer, Combining Interval Arithmetic and Three-Valued Temporal Logics for the Verification of Analog Systems, 10. Workshop Methoden und Beschreibungssprachen zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV '07), Erlangen, Germany, Mar. 2007.
  • R. Gentilini, K. Schneider, A. Dreyer, Three-Valued Automated Reasoning on Analog Properties, 17th ACM Great Lakes Symposium on VLSI (GLSVLSI '07), ACM Press, Stresa-Lago Maggiore, Italy, Mar. 2007.
  • A. Dreyer, Interval Methods for Analog Circuits, Reports of Fraunhofer ITWM, No. 97, Kaiserslautern, Germany, 2006.
    pdf file (716k)
  • A. Dreyer, Resolving Parameter Dependences for Interval Analysis of Linear Analog Circuits, Proc. 9th International Workshop on Symbolic Methods and Applications in Circuit Design (SMACD 2006), Florence, Italy, Oct. 2006.
  • R. Sommer, D. Platte, J. Broz, A. Dreyer, T. Halfmann, E. Barke, Automatic Nonlinear Behavioral Model Generation using Sequential Equation Structures, Proc. 9th International Workshop on Symbolic Methods and Applications in Circuit Design (SMACD 2006), Florence, Italy, Oct. 2006, Online Version
  • A. Dreyer, Interval Analysis of Linear Analog Circuits, Proc. SCAN 06 - 12th GAMM - IMACS International Symposion on Scientific Computing, Computer Arithmetic and Validated Numerics, Duisburg, Germany, Sep. 2006, IEEE Computer Society Order Number E2821, ISBN-13: 978-0-7695-2821-2, Online Version
  • D. Platte, R. Sommer, J. Broz, A. Dreyer, T. Halfmann, E. Barke, Automatische nichtlineare Verhaltensmodellgenerierung mit sequentieller Gleichungsstruktur, 9. ITG/GMM-Fachtagung Analog '06 : Entwicklung von Analogschaltungen mit CAE-Methoden, Dresden, Germany, Sep. 2006.
  • A. Dreyer, T. Halfmann, J. Broz, J. Kataja, M. Antila, Simulation Model of an Active Noise Control System, Euronoise 2006 - 6th European Conference on Noise Control, Acta Acustica united with Acustica Vol. 92, (2006) Suppl. 1, S 14, Tampere, Finland, May 2006.
  • A. Dreyer, Interval Analysis of Analog Circuits with Component Tolerances , PhD-Thesis, Shaker Verlag, 2005.
  • A. Dreyer, Combination of Symbolic and Interval-Numeric Methods for Analysis of Analog Circuits, Proc. 8th International Workshop on Symbolic Methods and Applications in Circuit Design (SMACD 2004), Wroclaw, Poland, Sep. 2004.
    pdf file (133k)
  • A. Dreyer, Primary Decomposition of Moduls, Diplomarbeit, Universität Kaiserslautern, 2001.
    pdf file (491k)

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