RECORD
Reasoning with Intervals on Granules
Artificial Intelligence · Submitted 12 Jul 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | background 1.00 | 0.04 | 0.03 | asserted 0.88 |
| s1 | This is not enought when the periods are written in terms of coarse granularities with respect to the event taken into account. | gap 0.83 | 0.06 | 0.03 | asserted 1.00 |
| s2 | For instance, how to express the inter-war period in terms of a {\em years} interval? | background 0.53 | 0.05 | 0.03 | unclear 0.84 |
| s3 | 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. | contribution 1.00 | 0.93 | 0.70 | asserted 1.00 |
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The paper
Original 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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