TL;DR
This paper introduces a new type of temporal intervals to better model periods at coarse granularities, bridging the gap between natural temporal discourse and formal discretized models.
Contribution
It proposes a novel interval type and extends operations on these intervals to improve temporal reasoning at coarse granularities.
Findings
New interval type formalized and defined
Extended operations on the new intervals
Improved alignment between natural language temporal discourse and formal models
Abstract
The formalizations of periods of time inside a linear model of Time are usually based on the notion of intervals, that may contain or may not their endpoints. This is not enought when the periods are written in terms of coarse granularities with respect to the event taken into account. For instance, how to express the inter-war period in terms of a {\em years} interval? This paper presents a new type of intervals, neither open, nor closed or open-closed and the extension of operations on intervals of this new type, in order to reduce the gap between the discourse related to temporal relationship and its translation into a discretized model of Time.
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