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1. An efficient algorithm for minimizing time granularity periodical representations
Bettini, C.; Mascetti, S.;
Temporal Representation and Reasoning, 2005. TIME 2005. 12th International Symposium on
23-25 June 2005 Page(s):20 - 25
Abstract:

This paper addresses the technical problem of efficiently reducing the periodic representation of a time granularity to its minimal form. The minimization algorithm presented in the paper has an immediate practical application: it allows users to intuitively define granularities (and more generally, recurring events) with algebraic expressions that are then internally translated to mathematical characterizations in terms of minimal periodic sets. Minimality plays a crucial role, since the value of the recurring period has been shown to dominate the complexity when processing periodic sets.
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