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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Connections between Topology and Knowledge Representation
by
Frank J. Oles
IBM T.J. Watson Research Center

Some approaches to knowledge representation are based on an implicit algebra of concepts. Such algebras are distributive lattices with additional structure. A topological representation theory for these algebras would useful for implementing some KR languages, but that theory is still incomplete. As a model for the theory we'd like, I'll discuss how to use the Birkhoff Representation Theorem to design an implementation technique when the algebras are just finite distributive lattices. Work on the general case has already has led to a definition of a continuous relation from one topological space to another based on ideas from knowledge representation.

Date received: July 1, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caao-73.