The Unit Graphs Mathematical Framework

Maxime Lefrançois 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 : This research report introduces the fundamental concepts of the Unit Graphs mathematical framework that is designed to reconcile the Meaning-Text Model (MTM) and the Conceptual Graphs formalism (CGs), in order to represent, query, and reason formalized linguistic knowledge. Despite seeming similar, one cannot use GCs to natural to formalize the MTM. Indeed, a linguistic unit may be multi-typed (i.e., is an instance of concept types), and dually, links its actants in an utterance representation (i.e., is a n-ary relation). How shall we revise the basis of the CGs mathematical framework in order to take into account the duality of units ?
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https://hal.inria.fr/hal-00780805
Contributor : Maxime Lefrançois <>
Submitted on : Friday, February 1, 2013 - 4:11:22 PM
Last modification on : Monday, November 5, 2018 - 3:52:09 PM
Long-term archiving on : Saturday, April 1, 2017 - 10:10:45 AM

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Maxime Lefrançois. The Unit Graphs Mathematical Framework. [Research Report] RR-8212, 2013, pp.38. ⟨hal-00780805v1⟩

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