A diagrammatic approach to investigate interval relations

This paper describes several diagrammatic tools developed by the author for representing the space of intervals and especially interval relations. The basic tool is a two-dimensional, diagrammatic representation of space of intervals, called an MR-diagram. A diagrammatic notation based on it, called a W-diagram, is the main tool for representing arrangement (or Allen’s) interval relations. Other auxiliary diagrams, like conjunction and lattice diagrams, are also introduced. All these diagrammatic tools are evaluated by their application to various representational and reasoning tasks of interval relations research, producing also certain new results in the field.