Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery
arXiv:2606.08728v1 Announce Type: cross Abstract: Mathematical reasoning has long served as a stringent test of machine intelligence; over the past decade, it has moved from a niche problem within NLP to one of the most consequential AI frontiers. This survey provides a unified account of the field's evolution, from early rule-based math word problem (MWP) solvers and template-driven geometry systems, through neural expression generation and LLM prompting, to contemporary reasoning models, multi-agent systems, neuro-symbolic theorem provers, and verified discovery workflows. We organize the la
The proliferation of language models and neuro-symbolic approaches has made mathematical reasoning a critical testbed for advanced AI, prompting this integrated survey to organize the rapidly evolving field.
Achieving robust mathematical reasoning is a core benchmark for general AI intelligence, impacting scientific discovery, engineering, and the reliability of autonomous systems.
The unified survey consolidates disparate research, providing a roadmap for future development in AI's capacity for complex, verifiable reasoning beyond pattern matching.
- · AI research institutions
- · Deep learning framework developers
- · Scientific discovery platforms
- · Formal verification tools
- · AI models without robust reasoning backbones
- · Traditional symbolic AI (without neural integration)
- · Manual theorem proving
Further acceleration of AI research into mathematical and logical reasoning capabilities, moving beyond statistical correlation.
Development of more reliable and provably correct AI systems for critical applications in science, engineering, and national security.
Potential for AI-driven new mathematical discoveries and acceleration of scientific progress across various disciplines.
This signal links to a primary source. Continuum Brief monitors and indexes it as part of the live intelligence stream — we do not republish source content.
Read at arXiv cs.LG