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Some Observations on Durations, Scheduling and Allen’s Algebra

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Principles and Practice of Constraint Programming – CP 2000 (CP 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1894))

Abstract

Representing and reasoning about time has for a long time been acknowledged as one of the core areas of artificial intelligence and a large number of formalisms for temporal constraint reasoning (TCR) have been proposed in the literature. Important examples are the time point algebra [16], Allen’s algebra [1], simple temporal constraints [5] and the qualitative algebra [12]. These formalisms are almost exclusively dealing with the relative positions of time points (qualitative information) and/or the absolute position of time points on the time line (quantitative or metric information).

This research has been supported by the Swedish Foundation for Strategic Research as part of the project “Computational Complexity of Temporal and Spatial Constraint Reasoning”.

This research has been supported by the Swedish Research Council for Engineering Sciences (TFR) under grant 97-301.

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Angelsmark, O., Jonsson, P. (2000). Some Observations on Durations, Scheduling and Allen’s Algebra. In: Dechter, R. (eds) Principles and Practice of Constraint Programming – CP 2000. CP 2000. Lecture Notes in Computer Science, vol 1894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45349-0_35

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  • DOI: https://doi.org/10.1007/3-540-45349-0_35

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