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Visual reasoning with graph-based mechanisms: the good, the better and the best

Published online by Cambridge University Press:  07 August 2013

Michel Chein ,
Marie-Laure Mugnier  and
Madalina Croitoru
Michel Chein
Affiliation:
LIRMM, 161 rue ADA, F34392 Montpellier, Cedex 5, France; e-mail: chein@lirmm.fr, mugnier@lirmm.fr, croitoru@lirmm.fr
Marie-Laure Mugnier
Affiliation:
LIRMM, 161 rue ADA, F34392 Montpellier, Cedex 5, France; e-mail: chein@lirmm.fr, mugnier@lirmm.fr, croitoru@lirmm.fr
Madalina Croitoru
Affiliation:
LIRMM, 161 rue ADA, F34392 Montpellier, Cedex 5, France; e-mail: chein@lirmm.fr, mugnier@lirmm.fr, croitoru@lirmm.fr
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Abstract

This paper presents a graph-based knowledge representation and reasoning language. This language benefits from an important syntactic operation, which is called a graph homomorphism. This operation is sound and complete with respect to logical deduction. Hence, it is possible to do logical reasoning without using the language of logic but only graphical, thus visual, notions. This paper presents the main knowledge constructs of this language, elementary graph-based reasoning mechanisms, as well as the graph homomorphism, which encompasses all these elementary transformations in one global step. We put our work in context by presenting a concrete semantic annotation application example.

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Type
Articles
Information
The Knowledge Engineering Review , Volume 28 , Special Issue 3: Visualization, Visual Representation and Reasoning , September 2013 , pp. 249 - 271
Copyright
Copyright © Cambridge University Press 2013 

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