We analyze the problem of computing the minimal labels for a network o
f temporal relations in point algebra. Van Beek proposes an algorithm
for accomplishing this task, which takes O (max(n(3), n(2) . m)) time
(for n points and m not equal-relations). We show that the proof of th
e correctness of this algorithm given by van Beek and Cohen is faulty,
and we provide a new proof showing that the algorithm is indeed corre
ct.