In plain words: Feeding a language model formal math definitions pulled from a structured knowledge base makes its answers more reliable. On math problems it scored better when the retrieved definitions fit the question, but worse when they did not.
Abstract · Ontology-Guided Neuro-Symbolic Inference: Grounding Language Models with Mathematical Domain Knowledge
Language models exhibit fundamental limitations -- hallucination, brittleness, and lack of formal grounding -- that are particularly problematic in high-stakes specialist fields requiring verifiable reasoning. I investigate whether formal domain ontologies can enhance language model reliability through retrieval-augmented generation. Using mathematics as proof of concept, I implement a neuro-symbolic pipeline leveraging the OpenMath ontology with hybrid retrieval and cross-encoder reranking to inject relevant definitions into model prompts. Evaluation on the MATH benchmark with three open-source models reveals that ontology-guided context improves performance when retrieval quality is high, but irrelevant context actively degrades it -- highlighting both the promise and challenges of neuro-symbolic approaches.
Marcelo Labre
arXiv:2602.17826 · cs.AI, cs.LG, cs.SC · submitted Feb 19, 2026 · updated Aug 31, 2026
abstract · pdf · html · Supplementary materials and code: https://doi.org/10.5281/zenodo.18665030