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Interval Comparisons and Lattice Operations based on the Interval Overlapping Relation

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Technical Report, 476. Department of Computer Science, University of Würzburg, (September 2010)

Abstract

In this paper we start with the definition of the interval overlapping relation showing the 13 different cases that may occur when to compare two non-empty intervals. This paper serves 2 purposes: 1. to define a solid foundation for interval comparisons and lattice operations 2. to provide an advanced interface for language embedding and application programs.

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