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Brock TR # CS-04-11 Abstract

Region-based theory of discrete spaces: A proximity approach    [PDF]
I. Düntsch and D. Vakarelov, November 2004.

We introduce Boolean proximity algebras as a generalization of Efremovic proximities which are suitable in reasoning about discrete regions. Following Stone's representation theorem for Boolean algebras, it is shown that each such algebra is isomorphic to a substructure of a complete and atomic Boolean proximity algebra.