The Unit Graphs Mathematical Framework

Maxime Lefrançois 1 Fabien Gandon 1
1 WIMMICS - Web-Instrumented Man-Machine Interactions, Communities and Semantics
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SPARKS - Scalable and Pervasive softwARe and Knowledge Systems
Abstract : In this paper we are interested in the choice of a knowledge representation formalism that enables the representation, manipulation, query, and reasoning over linguistic knowledge of the Explanatory and Combinatorial Dictionary (ECD) of the Meaning-Text Theory. We show that neither the semantic web formalisms nor the Conceptual Graphs (CGs) Formalism suit our needs, and justify the introduction of a new formalism denoted Unit Graphs (UGs). We thus introduce the fundamental concepts of the UGs mathematical framework: the Unit Types hierarchy and the Unit Graphs. We then show how one one may use them to represent specific aspects of the ECD.
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Contributor : Maxime Lefrançois <>
Submitted on : Wednesday, March 27, 2013 - 2:20:44 PM
Last modification on : Monday, November 5, 2018 - 3:52:09 PM
Long-term archiving on: Sunday, April 2, 2017 - 9:12:59 PM

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Maxime Lefrançois, Fabien Gandon. The Unit Graphs Mathematical Framework. [Research Report] RR-8212, 2013, pp.60. ⟨hal-00780805v2⟩

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