C. Bettini et al., A GENERAL FRAMEWORK FOR TIME GRANULARITY AND ITS APPLICATION TO TEMPORAL REASONING, Annals of mathematics and artificial intelligence, 22(1-2), 1998, pp. 29-58
This paper presents a general framework to define time granularity sys
tems. We identify the main dimensions along which different systems ca
n be characterized, and investigate the formal relationships among gra
nularities in these systems. The paper also introduces the notion of a
network of temporal constraints with (multiple) granularities emphasi
zing the semantic and computational differences from constraint networ
ks with a single granularity. Consistency of networks with multiple gr
anularities is shown to be NP-hard in general and approximate solution
s for this problem and for the minimal network problem are proposed.