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Formal mathematical reasoning: A new frontier in ai
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 …
discovery in science, engineering, and beyond. Extensive efforts on AI4Math have mirrored …
LeanAgent: Lifelong Learning for Formal Theorem Proving
Large Language Models (LLMs) have been successful in mathematical reasoning tasks
such as formal theorem proving when integrated with interactive proof assistants like Lean …
such as formal theorem proving when integrated with interactive proof assistants like Lean …
Formal Theorem Proving by Rewarding LLMs to Decompose Proofs Hierarchically
Mathematical theorem proving is an important testbed for large language models' deep and
abstract reasoning capability. This paper focuses on improving LLMs' ability to write proofs …
abstract reasoning capability. This paper focuses on improving LLMs' ability to write proofs …
LeanProgress: Guiding Search for Neural Theorem Proving via Proof Progress Prediction
Mathematical reasoning remains a significant challenge for Large Language Models (LLMs)
due to hallucinations. When combined with formal proof assistants like Lean, these …
due to hallucinations. When combined with formal proof assistants like Lean, these …
Diverse Inference and Verification for Advanced Reasoning
I Drori, G Longhitano, M Mao, S Hyun, Y Zhang… - arxiv preprint arxiv …, 2025 - arxiv.org
Reasoning LLMs such as OpenAI o1, o3 and DeepSeek R1 have made significant progress
in mathematics and coding, yet find challenging advanced tasks such as International …
in mathematics and coding, yet find challenging advanced tasks such as International …
Activation Steering in Neural Theorem Provers
S Kirtania - arxiv preprint arxiv:2502.15507, 2025 - arxiv.org
Large Language Models (LLMs) have shown promise in proving formal theorems using
proof assistants like Lean. However, current state of the art language models struggles to …
proof assistants like Lean. However, current state of the art language models struggles to …
CARTS: Advancing Neural Theorem Proving with Diversified Tactic Calibration and Bias-Resistant Tree Search
XW Yang, Z Zhou, H Wang, A Li, WD Wei, H **… - … Conference on Learning … - openreview.net
Recent advancements in neural theorem proving integrate large language models with tree
search algorithms like Monte Carlo Tree Search (MCTS), where the language model …
search algorithms like Monte Carlo Tree Search (MCTS), where the language model …
Language models for verifiable mathematical automation: Interaction, integration, and autoformalization
Q Jiang - 2025 - repository.cam.ac.uk
Stronger automation in formal mathematical reasoning provides scalability, trust-worthiness,
and accessibility: it enables efficient verification of complex proofs, reduces the likelihood of …
and accessibility: it enables efficient verification of complex proofs, reduces the likelihood of …
NLIR: Natural Language Intermediate Representation for Mechanized Theorem Proving
Formal theorem proving is challenging for humans as well as for machines. Thanks to recent
advances in LLM capabilities, we believe natural language can serve as a universal …
advances in LLM capabilities, we believe natural language can serve as a universal …