Work

Automating the Generation of High School Geometry Proofs using Prolog in an Educational Context

Year: 2020

Type: article

Abstract: When working on intelligent tutor systems designed for mathematics education and its specificities, an interesting objective is to provide relevant help to the students by anticipating their next steps. This can only be done by knowing, beforehand, the possible ways to solve a problem. Hence the need for an automated theorem prover that provide proofs as they would be written by a student. To achieve this objective, logic programming is a natural tool due to the similarity of its reasoning with a mathematical proof by inference. In this paper, we present the core ideas we used to implement such a prover, from its encoding in Prolog to the generation of the complete set of proofs. However, when dealing with educational aspects, there are many challenges to overcome. We also present the main issues we encountered, as well as the chosen solutions.

Source: Electronic Proceedings in Theoretical Computer Science

DOI: 10.4204/eptcs.313.1

Authors: Ludovic Font, Sébastien Cyr, Philippe R. Richard, Michel Gagnon

Institutions: Polytechnique Montréal, Université de Montréal

Language: English

Topic: Intelligent Tutoring Systems and Adaptive Learning

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

SDG: Quality education

Open Access status: diamond

OpenAlex ID: W3008084236

FWCI: 0.501

Cites: 26

Cited by: 10

Related to: 10