Title: Fast computation of polynomial Janet bases Author: Gerdt, Vladimir P. (in cooperation with Yu. A. Blinkov and D. A. Yanovich) Affiliation: JINR Dubna, Russia Abstract: In this talk we present basic algorithmic ideas and their implementation in Reduce, C and C++ for computation of Janet bases for polynomial ideals. We also give the timings of our codes in comparison with the latest version (2-0-0) of computer algebra system Singular having one of the most efficient implementations of the Buchberger algorithm for computation of Groebner bases.