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We present Tanaka's prolongation procedure for filtered structures onmanifolds discovered in [Tanaka N., J. Math. Kyoto. Univ. 10 (1970), 1-82] in aspirit of Singer-Sternberg's description of the prolongation of usualG-structures [Singer I.M., Sternberg S., J. Analyse Math. 15 (1965), 1-114;Sternberg S., Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964]. This approachgives a transparent point of view on the Tanaka constructions avoiding manytechnicalities of the original Tanaka paper.

On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type