Querying Geometric Figures Using a Controlled Language, Ontological Graphs and Dependency Lattices
Abstract
Dynamic geometry systems (DGS) have become basic tools in many areas of geometry as, for example, in education. Geometry Automated Theorem Provers (GATP) are an active area of research and are considered as being basic tools in future enhanced educational software as well as in a next generation of mechanized mathematics assistants. Recently emerged Web repositories of geometric knowledge, like TGTP and Intergeo, are an attempt to make the already vast data set of geometric knowledge widely available. Considering the large amount of geometric information already available, we face the need of a query mechanism for descriptions of geometric constructions. In this paper we discuss two approaches for describing geometric figures (declarative and procedural), and present algorithms for querying geometric figures in declaratively and procedurally described corpora, by using a DGS or a dedicated controlled natural language for queries.
Cite
@article{arxiv.1403.2194,
title = {Querying Geometric Figures Using a Controlled Language, Ontological Graphs and Dependency Lattices},
author = {Yannis Haralambous and Pedro Quaresma},
journal= {arXiv preprint arXiv:1403.2194},
year = {2014}
}
Comments
14 pages, 5 figures, accepted at CICM 2014