Abstract
The IDEAS design system is an innovative algorithm engineering environment. It can be employed to derive correct and efficient software or hardware implementations from algebraic specifications using the advanced formal method ART. Several case studies for some algorithm engineering tasks are discussed in this article to demonstrate the feasibility of this system.
This research was supported by DFG under project Be 887/6-2.
This research was supported by DFG through the Graduiertenkolleg “Beherrschbarkeit komplexer Systeme”.
Preview
Unable to display preview. Download preview PDF.
References
T. Beth. Verfahren der schnellen Fourier-Transformation. Teubner-Verlag, 1984.
T. Beth. Generating Fast Hartley Transforms — another application of the Algebraic Discrete Fourier Transform. In Proc. Int. Sym. Signals, Systems, and Electronics ISSSE 89, pages 688–692. Union Radio Scientifique International, 1989.
T. Beth, R. Blatt, P. Zoller, and H. Weinfurter. Engineering quantum gates. In preparation, 1995.
T. Beth, W. Fumy, and R. Mühlfeld. Zur Algebraische Diskreten Fourier Transformation. Arch. Math., 40:238–244, 1983.
T. Beth, J. Müller-Quade, and A. Nückel. IDEAS — Intelligent Design Environment for Algorithms and Systems. In M. E. Welland and J. K. Gimzewski, editors, Ultimate Limits of Fabrication and Measurement, pages 49–57. Kluwer, 1995.
R. Blahut. Theory & Practice of Error-Control Codes. Addison-Wesley Publ. Comp., Reading, MA, 1983.
R. Blahut. Fast algorithms for Digital Signal Processing. Addison-Wesley Publ. Comp., Reading, MA, 1985.
B. Buchberger, Collins G. E., and Loos R.. Computer Algebra. Springer-Verlag, Berlin, 1982.
I. Daubechies. Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math., 41:909–996, 1988.
I. Daubechies. Ten Lectures on Wavelets. CBMS-NSF Reg. Conf. Series Appl. Math., SIAM, 1992.
D. P. DiVincenzo. Two-bit gates are universal for quantum computation. Physical Review A, 51(2), 1995.
E. Feig and S. Winograd. Fast algorithms for the Discrete Cosine Transform. IEEE Trans. on Signal Processing, pages 2174–2193, 1992.
W. Fumy and H. P. Rieß. Kryptographie. Oldenburg, 1988.
W. Geiselmann. Algebraische Algorithmenentwicklung am Beispiel der Arithmetik in endlichen Körpern. Dissertation, Universität Karlsruhe, 1993.
D. Gollmann. Algorithmenentwurf in der Kryptographie. Bibliographisches Inst., Mannheim, 1994.
R. D. Jenks and R. S. Sutor. Axiom: the scientific computation system. Springer-Verlag, Berlin, 1992.
F. J. MacWilliams and N. J. A. Sloane. The Theory of Error-Correcting Codes. North-Holland Publ. Comp., Amsterdam, 1977.
S. G. Mallat. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell., 11(7):674–693, Juli 1989.
T. Minkwitz. Algorithmensynthese für lineare Systeme mit Symmetrie. Dissertation, Universität Karlsruhe, 1993.
T. Minkwitz. Algorithms explained by symmetries. In E. W. Mayr and C. Puech, editors, STACS 95, Proc. 12th Annual Symposium, volume 900 of Lecture Notes in Computer Science, pages 157–167. Springer-Verlag, Berlin, 1995.
M. Reck and A. Zeilinger. Experimental realization of any discrete unitary operator. Physical Review Letters, 73(1), 1994.
J. P. Serre. Linear Representations of Finite Groups. Grad. Texts in Math. 42. Springer-Verlag, 1977.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Beth, T., Klappenecker, A., Minkwitz, T., Nückel, A. (1995). The ART behind IDEAS. In: van Leeuwen, J. (eds) Computer Science Today. Lecture Notes in Computer Science, vol 1000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015241
Download citation
DOI: https://doi.org/10.1007/BFb0015241
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60105-0
Online ISBN: 978-3-540-49435-5
eBook Packages: Springer Book Archive