Because Pex-set (X, i) is the set of projections contained T.id should D_X performed simultaneously with the calculation of useful value on the secondary branches rubber (X, i) does not increase the complexity of the algorithm. Likewise with line 5 in procedure Search. The effectiveness of Pex-set (X, i) is clearly shown in line 3 of the procedure Search, it only review transactions under Pex tid-set (X, i) instead of scanning the entire D_X.
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