The Unit Graphs Mathematical Framework

We are interested in the choice of a graph-based knowledge representation formalism that would allow for the representation, manipulation, query, and reasoning over linguistic knowledge of the Explanatory Combinatorial Dictionary (ECD) of the Meaning-Text Theory (MTT). We show that neither the semantic web formalisms nor the Conceptual Graphs Formalism are suitable for this task, and we justify the introduction of the new Unit Graphs (UGs) framework. We introduce the fundamental concepts of the UGs mathematical framework: the Unit Types hierarchy and the Unit Graphs. We then show how they may be used to represent lexicographic definitions in the ECD. Finally we provide the UGs with reasoning capabilities.

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Source https://inria.hal.science/hal-00780805
Author Lefrançois, Maxime, Gandon, Fabien
Maintainer CCSD
Last Updated May 10, 2026, 12:35 (UTC)
Created May 10, 2026, 12:35 (UTC)
Identifier Report N°: RR-8212
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Web-Instrumented huMan-Machine Interactions, Communities and Semantics (WIMMICS) ; Centre Inria d'Université Côte d'Azur ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Scalable and Pervasive softwARe and Knowledge Systems (Laboratoire I3S - SPARKS) ; Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis (I3S) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)-Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis (I3S) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)
creator Lefrançois, Maxime
date 2013-03-27T00:00:00
harvest_object_id 69b0dd03-f8db-46ea-b776-3062740bbd76
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-01-13T00:00:00
set_spec type:REPORT