Characterizing Temporal Repetition

Diana Cukierman, James Delgrande

We are investigating the representation and reasoning about schedulable, repeated activities, specified using calendars. Examples of such activities include meeting every Tuesday and Thursday during a semester and at tending a seminar every first day of a month. This research provides for a valuable framework for scheduling systems, financial systems and, in general, date-based systems. Very recently work has been done related to reasoning about repetition in the Artificial Intelligence community and others. A partial reference list is provided here. However, to our knowledge no extensive taxonomy of repetition has been proposed in the literature. We believe that reasoning about repeated activities calls for a study and precise definition of the topological characteristics in a repetitive series. In this abstract we summarize a proposal to classify types of repetition according to parameters. The combination of all possible values of these parameters provides a complete taxonomy of repetitive classes with respect to the proposed parameters. Several notions of repetition are considered, some are extremely general, some are very specific.

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