Formal mathematical reasoning: A new frontier in ai

K Yang, G Poesia, J He, W Li, K Lauter… - arxiv preprint arxiv …, 2024 - arxiv.org
AI for Mathematics (AI4Math) is not only intriguing intellectually but also crucial for AI-driven
discovery in science, engineering, and beyond. Extensive efforts on AI4Math have mirrored …

Romath: A mathematical reasoning benchmark in romanian

A Cosma, AM Bucur, E Radoi - arxiv preprint arxiv:2409.11074, 2024 - arxiv.org
Mathematics has long been conveyed through natural language, primarily for human
understanding. With the rise of mechanized mathematics and proof assistants, there is a …

Autoformalize mathematical statements by symbolic equivalence and semantic consistency

Z Li, Y Wu, Z Li, X Wei, X Zhang, F Yang… - arxiv preprint arxiv …, 2024 - arxiv.org
Autoformalization, the task of automatically translating natural language descriptions into a
formal language, poses a significant challenge across various domains, especially in …

Automated Reasoning for Mathematics

J Avigad - International Joint Conference on Automated …, 2024 - Springer
Throughout the history of automated reasoning, mathematics has been viewed as a
prototypical domain of application. It is therefore surprising that the technology has had …

A Survey of Mathematical Reasoning in the Era of Multimodal Large Language Model: Benchmark, Method & Challenges

Y Yan, J Su, J He, F Fu, X Zheng, Y Lyu… - arxiv preprint arxiv …, 2024 - arxiv.org
Mathematical reasoning, a core aspect of human cognition, is vital across many domains,
from educational problem-solving to scientific advancements. As artificial general …

PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs

M Soroco, J Song, M **a, K Emond, W Sun… - arxiv preprint arxiv …, 2025 - arxiv.org
While recent AI-for-math has made strides in pure mathematics, areas of applied
mathematics, particularly PDEs, remain underexplored despite their significant real-world …

From Informal to Formal--Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs

J Cao, Y Lu, M Li, H Ma, H Li, M He, C Wen… - arxiv preprint arxiv …, 2025 - arxiv.org
The research in AI-based formal mathematical reasoning has shown an unstoppable growth
trend. These studies have excelled in mathematical competitions like IMO, showing …

Autoformalizing Euclidean Geometry

L Murphy, K Yang, J Sun, Z Li, A Anandkumar… - arxiv preprint arxiv …, 2024 - arxiv.org
Autoformalization involves automatically translating informal math into formal theorems and
proofs that are machine-verifiable. Euclidean geometry provides an interesting and …

RAG-Verus: Repository-Level Program Verification with LLMs using Retrieval Augmented Generation

S Zhong, J Zhu, Y Tian, X Si - arxiv preprint arxiv:2502.05344, 2025 - arxiv.org
Scaling automated formal verification to real-world projects requires resolving cross-module
dependencies and global contexts, which are challenges overlooked by existing function …

Compositional Neuro-Symbolic Reasoning over Natural Language

N Weir - 2024 - jscholarship.library.jhu.edu
Much of classical artificial intelligence in the tradition of McCarthy (1959) pursued symbolic
theorem proving over carefully hand-crafted ontologies of facts and rules. Due to challenges …