A neuro-symbolic approach for automatic assessment in ordinary differential equations

Authors

DOI:

https://doi.org/10.66818/aiaie.v1i1.917

Keywords:

Automated Assessment, Neuro-symbolic AI Strategies, Ordinary Differential Equations, Large Language Models, Computer Algebra System

Abstract

This work presents a robust neuro-symbolic framework for the automated assessment of ordinary differential equations by integrating large language models with symbolic computation engines. The core innovation lies in using the natural language model as a semantic orchestrator capable of interpreting student logic, while a deterministic symbolic engine shields the process.

This hybrid approach addresses the risk of hallucinations by providing a rigorous framework for symbolic verification, thus increasing the overall accuracy of the results.

Our results suggest that this architecture has the potential to perform complex error carry-over analysis, aiding in the differentiation between conceptual failures and consistent algebraic derivations, within the scope of the evaluated cases.

Published

2026-03-30

How to Cite

García, P., & Estrada, L. (2026). A neuro-symbolic approach for automatic assessment in ordinary differential equations. Artificial Intelligence Advances in Education, 1(1), 55–63. https://doi.org/10.66818/aiaie.v1i1.917

Issue

Section

Research Article

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