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The paper analyses the deficiencies of traditional generalized dynamic reduct algorithm and proposes a fast algorithm based on the validity of reduct. The algorithm only needs to calculate part of the subtable to get the generalized dynamic reduct. It decreases the number of subtables that need to calculate the reduct by using the stability threshold, and filters the reduct of subtables that are not to be the generalized dynamic reduct by utilizing the optimal stability coefficient. The result shows that the fast method is more effective than the traditional algorithm.