Phd (1974) and Habilitation (1978) in Mathematics at the Ludwig-Maximilians-Universitaet in Munich.
From 1979 to 1984 research at MIT, the University of Chicago, and the University of California at Berkeley as Heisenberg- Fellow of the Deutsche Forschungsgemeinschaft.
From 1982 - 1986 Associate Professor and from 1986 - 1993 Professor of Computer Science at the University of Illinois in Chicago.
Since 1991 Professor of Computer Science at the Graz University of Technology in Austria, and since 1992 Head of the Institut fuer Grundlagen der Informationsverarbeitung (Institute for Theoretical Computer Science) at the Graz University of Technology. Sloan Fellow at the Computational Neurobiology Lab of the Salk Institute (La Jolla, USA) during 1997/98. 9/2002-2/2003:Visiting Professor at the Brain-Mind Institute, EPFL, Lausanne, Switzerland.
Since 2005: Adjunct Fellow of the Frankfurt Institute of Advanced Studies (FIAS).
Since 2008: Member of the Board of Governors of the International Neural Network Society.
- Editor of Machine Learning, 1995 – 1997
- Member of the Editorial Board of Machine Learning, 1998 – 2000
- Editor of Archive for Mathematical Logic, 1987 – 2000
- Associate Editor of the Journal of Computer and System Sciences, 1992 – present - Member of the Editorial Board of Neurocomputing, 1994 – 2007
- Member of the Editorial Board of Cognitive Neurodynamics, 2006 – present
- Editor of Biological Cybernetics, 2006 - present