ON COMPUTING THE MINIMAL LABELS IN TIME POINT ALGEBRA NETWORKS
Generate an AI Snapshot to get a quick, structured summary of this paper.
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
It is shown that the proof of the correctness of this algorithm given by van Beek and Cohen is faulty, and a new proof is provided showing that the algorithm is indeed correct.
Abstract
We analyze the problem of computing the minimal labels for a network of 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 ≠ ‐relations). We show that the proof of the correctness of this algorithm given by van Beek and Cohen is faulty, and we provide a new proof showing that the algorithm is indeed correct.
