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R4'. For every left join from N1 to J1 transformed from an inner join, a variable vi indicating non-match tuples is assigned to TRUE in its right branch;

R4R5'. On top of J1, a GroupByOperaptor G1 is added where the group-by key is the primary key of O1 and the nested query plan for aggregation is the nested pipeline on top of J1 with an added not-null-filter to check all vi are not null.

R5R6'. All other NestedTupleSourceOperators in the subplan is inlined with deep copies (with new variables) of the query plan rooted at O1.

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