Before revision:  Loosely speaking, this technique allows us to privately test whether the value of a given query  is close to what we expect it would be(w. r.t. the input database), where we are allowed to test an unbounded number of queries as long as their value is indeed close to what we expected. After the first time in which this is not the case , the process halts.
After revision:  Loosely speaking, this technique allows us to privately test whether the value of a given query is close to what we expect it would be(w. r.t. the input database), where we are allowed to test an unbounded number of queries as long as their value is indeed close to what we expect, and halts following the first query for which this is not the case , the process halts.