In the query S_w (w₁, w₂,..., w_n) R, R is a cluster string representing (a portion of) the virtul world. The above query is interpreted as follows:

Procedure Query_Interpreter( S_w (w₁, w₂,..., w_n) R)
Step 1: Apply cut_w to each existing cluster in R to find its sub-clusters C_w1, C_w2, ..., C_wn.
Step 2: For each sub-cluster C_i, if w_i^c is closed it is treated as a single object. If w_i^o is open it is treated as a set of objects. Re-encode R according to S_w.