2014/01/01 by Yannis Haralambous, Haralambous, Yannis, Pedro Quaresma +1
Computer Science · Engineering · #68T30 #68T50 #97G40 #Advanced Numerical Analysis Techniques #Artificial Intelligence (cs.AI) #Artificial Intelligence in Games #Computational Geometry (cs.CG) #Databases (cs.DB) #FOS: Computer and information sciences #I.3.5 #Information Retrieval (cs.IR) #Mathematics, Computing, and Information Processing
paper · doi:10.48550/arxiv.1403.2194
openalex publication_date 2014/01/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.