# Relation Algebras and their Application in Temporal and Spatial Reasoning

@article{Dntsch2005RelationAA, title={Relation Algebras and their Application in Temporal and Spatial Reasoning}, author={Ivo D{\"u}ntsch}, journal={Artificial Intelligence Review}, year={2005}, volume={23}, pages={315-357} }

Qualitative temporal and spatial reasoning is in many cases based on binary relations such as before, after, starts, contains, contact, part of, and others derived from these by relational operators. The calculus of relation algebras is an equational formalism; it tells us which relations must exist, given several basic operations, such as Boolean operations on relations, relational composition and converse. Each equation in the calculus corresponds to a theorem, and, for a situation where…

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