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—Qualitative spatial and temporal reasoning is a research field that studies relational, constraint-based formalisms for representing, and reasoning about, spatial and temporal information. The standard approach for checking consistency is based on an exhaustive representation of possible configurations between three entities, the so-called composition(More)
Qualitative Spatial and Temporal Reasoning (QSR) is concerned with constraint-based formalisms for representing, and reasoning with, spatial and temporal information over infinite domains. Within the QSR community it has been a widely accepted assumption that genuine qualitative reasoning methods outperform other reasoning methods that are applicable to(More)
Qualitative calculi are constraint-based representation formalisms that allow for efficient reasoning about continuous aspects of the world with inherently infinite domains, such as time and space. GQR (Generic Qualitative Reasoner) is a tool that provides reasoning services for arbitrary binary qualitative calculi. Given qualitative information expressible(More)
Frank's cardinal direction calculus is one of the most prominent spatial constraint formalisms, which allows one to represent , and reason with, the relative position of objects in the Euclidean plane. Typical application fields of this calculus include geographical information systems (GIS), route finding and description systems, and navigation of robots(More)
In the domain of qualitative constraint reasoning, a subfield of AI which has evolved in the past 25 years, a large number of calculi for efficient reasoning about spatial and temporal entities has been developed. Reasoning techniques developed for these constraint calculi typically rely on so-called composition tables of the calculus at hand, which allow(More)
To reason about geographical objects, it is not only necessary to have more or less complete information about where these objects are located in space, but also how they can change their position, shape, and size over time. In this paper we investigate how calculi discussed in the field of qualitative spatial reasoning (QSR) can be temporalized in order to(More)