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Autoformalisation, the task of expressing informal mathematical statements in formal language, is often viewed as a direct translation process. This, however, disregards a critical preceding step: conjecturing. Many mathematical problems…

Computation and Language · Computer Science 2025-10-15 Jasivan Alex Sivakumar , Philipp Borchert , Ronald Cardenas , Gerasimos Lampouras

Multi-agent reinforcement learning has received significant interest in recent years notably due to the advancements made in deep reinforcement learning which have allowed for the developments of new architectures and learning algorithms.…

Multiagent Systems · Computer Science 2018-12-27 Nicolas Anastassacos , Mirco Musolesi

We introduce a novel task consisting in assigning a proof to a given mathematical statement. The task is designed to improve the processing of research-level mathematical texts. Applying Natural Language Processing (NLP) tools to research…

Computation and Language · Computer Science 2021-02-04 Maximin Coavoux , Shay B. Cohen

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Automated theorem proving (ATP) has become an appealing domain for exploring the reasoning ability of the recent successful generative language models. However, current ATP benchmarks mainly focus on symbolic inference, but rarely involve…

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

Agentic theorem provers combine a reasoning model, retrieval, search, and a proof assistant verifier, yet it remains unclear which components actually improve finite-budget proof success and why they help on real mathematical workloads. We…

Machine Learning · Statistics 2026-05-26 Sho Sonoda , Shunta Akiyama , Yuya Uezato

Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute requirements.…

Machine Learning · Computer Science 2023-10-30 Kaiyu Yang , Aidan M. Swope , Alex Gu , Rahul Chalamala , Peiyang Song , Shixing Yu , Saad Godil , Ryan Prenger , Anima Anandkumar

Training machine learning (ML) models typically involves expensive iterative optimization. Once the model's final parameters are released, there is currently no mechanism for the entity which trained the model to prove that these parameters…

Test-time inference has emerged as a powerful paradigm for enabling language models to ``think'' longer and more carefully about complex challenges, much like skilled human experts. While reinforcement learning (RL) can drive…

Computation and Language · Computer Science 2025-08-18 Kanishk Gandhi , Ayush Chakravarthy , Anikait Singh , Nathan Lile , Noah D. Goodman

Nowadays, formal theorem provers have made monumental progress on high-school and competition-level mathematics, but few of them generalize to more advanced mathematics. In this paper, we present REAL-Prover, a new open-source stepwise…

Computation and Language · Computer Science 2025-11-25 Ziju Shen , Naohao Huang , Fanyi Yang , Yutong Wang , Guoxiong Gao , Tianyi Xu , Jiedong Jiang , Wanyi He , Pu Yang , Mengzhou Sun , Haocheng Ju , Peihao Wu , Bryan Dai , Bin Dong

Language models have become increasingly powerful tools for formal mathematical reasoning. However, most existing approaches rely exclusively on either large general-purpose models or smaller specialized models, each with distinct…

Artificial Intelligence · Computer Science 2025-07-22 Nicolas Wischermann , Claudio Mayrink Verdun , Gabriel Poesia , Francesco Noseda

General-purpose Large Language Models (LLMs) have achieved remarkable success in intelligence, performing comparably to human experts on complex reasoning tasks such as coding and mathematical reasoning. However, generating formal proofs in…

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Recent work by Clark et al. (2020) shows that transformers can act as 'soft theorem provers' by answering questions over explicitly provided knowledge in natural language. In our work, we take a step closer to emulating formal theorem…

Computation and Language · Computer Science 2020-10-07 Swarnadeep Saha , Sayan Ghosh , Shashank Srivastava , Mohit Bansal

Mechanisms for continued self-improvement of language models without external supervision remain an open challenge. We propose Peer-Predictive Self-Training (PST), a label-free fine-tuning framework in which multiple language models improve…

Computation and Language · Computer Science 2026-04-28 Shi Feng , Hanlin Zhang , Fan Nie , Sham Kakade , Yiling Chen

Can large language models improve without external data -- by generating their own questions and answers? We hypothesize that a pre-trained language model can improve its reasoning skills given only a single prompt specifying the topic…

Machine Learning · Computer Science 2025-09-11 Lili Chen , Mihir Prabhudesai , Katerina Fragkiadaki , Hao Liu , Deepak Pathak

This paper investigates Reinforcement Learning (RL) on data without explicit labels for reasoning tasks in Large Language Models (LLMs). The core challenge of the problem is reward estimation during inference while not having access to…

Like humans, large language models (LLMs) do not always generate the best output on their first try. Motivated by how humans refine their written text, we introduce Self-Refine, an approach for improving initial outputs from LLMs through…

Despite the strong reasoning capabilities of large language models (LLMs), optimizing the execution efficiency of tensor programs remains challenging due to the need for precise, composable transformation decisions. Recent LLM-guided…

Machine Learning · Computer Science 2026-05-26 Mengfan Liu , Da Zheng , Junwei Su , Chuan Wu