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Neural theorem proving combines large language models (LLMs) with proof assistants such as Lean, where the correctness of formal proofs can be rigorously verified, leaving no room for hallucination. With existing neural theorem provers…

Artificial Intelligence · Computer Science 2025-05-13 Peiyang Song , Kaiyu Yang , Anima Anandkumar

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Math is constructed by people for people: just as natural language corpora reflect not just propositions but the communicative goals of language users, the math data that models are trained on reflects not just idealized mathematical…

Artificial Intelligence · Computer Science 2024-11-01 Sasha Boguraev , Ben Lipkin , Leonie Weissweiler , Kyle Mahowald

With the advancement in generative language models, the selection of prompts has gained significant attention in recent years. A prompt is an instruction or description provided by the user, serving as a guide for the generative language…

Machine Learning · Statistics 2024-05-21 Haoting Zhang , Jinghai He , Rhonda Righter , Zeyu Zheng

Developing the logic necessary to solve mathematical problems or write mathematical proofs is one of the more difficult objectives for large language models (LLMS). Currently, the most popular methods in literature consists of fine-tuning…

Machine Learning · Computer Science 2025-02-11 Tianbo Yang , Mingqi Yan , Hongyi Zhao , Tianshuo Yang

Tasks related to Natural Language Processing (NLP) have recently been the focus of a large research endeavor by the machine learning community. The increased interest in this area is mainly due to the success of deep learning methods.…

Computation and Language · Computer Science 2020-04-30 Luca Manzoni , Domagoj Jakobovic , Luca Mariot , Stjepan Picek , Mauro Castelli

Present language understanding methods have demonstrated extraordinary ability of recognizing patterns in texts via machine learning. However, existing methods indiscriminately use the recognized patterns in the testing phase that is…

Computation and Language · Computer Science 2021-06-08 Fuli Feng , Jizhi Zhang , Xiangnan He , Hanwang Zhang , Tat-Seng Chua

Large language models (LLMs) present an opportunity to scale high-quality personalized education to all. A promising approach towards this means is to build dialog tutoring models that scaffold students' problem-solving. However, even…

Computation and Language · Computer Science 2024-07-15 Nico Daheim , Jakub Macina , Manu Kapur , Iryna Gurevych , Mrinmaya Sachan

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

Transformers have been shown to be able to perform deductive reasoning on a logical rulebase containing rules and statements written in natural language. Recent works show that such models can also produce the reasoning steps (i.e., the…

Computation and Language · Computer Science 2022-03-22 Soumya Sanyal , Harman Singh , Xiang Ren

Pretrained language models often do not perform tasks in ways that are in line with our preferences, e.g., generating offensive text or factually incorrect summaries. Recent work approaches the above issue by learning from a simple form of…

Computation and Language · Computer Science 2022-11-18 Jérémy Scheurer , Jon Ander Campos , Jun Shern Chan , Angelica Chen , Kyunghyun Cho , Ethan Perez

Recent studies have adopted pre-trained language models, such as CodeT5 and CodeGPT, for automated program generation tasks like code generation, repair, and translation. Numerous language model-based approaches have been proposed and…

Software Engineering · Computer Science 2024-01-09 Yue Liu , Chakkrit Tantithamthavorn , Yonghui Liu , Li Li

Foundational verification allows programmers to build software which has been empirically shown to have high levels of assurance in a variety of important domains. However, the cost of producing foundationally verified software remains…

Programming Languages · Computer Science 2020-06-01 Alex Sanchez-Stern , Yousef Alhessi , Lawrence Saul , Sorin Lerner

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Numerous theorems, such as those in geometry, are often presented in multimodal forms (e.g., diagrams). Humans benefit from visual reasoning in such settings, using diagrams to gain intuition and guide the proof process. Modern Multimodal…

Computation and Language · Computer Science 2025-06-09 Zhitao He , Zongwei Lyu , Dazhong Chen , Dadi Guo , Yi R. Fung

We present IBR, an Iterative Backward Reasoning model to solve the proof generation tasks on rule-based Question Answering (QA), where models are required to reason over a series of textual rules and facts to find out the related proof path…

Computation and Language · Computer Science 2022-05-25 Hanhao Qu , Yu Cao , Jun Gao , Liang Ding , Ruifeng Xu

Automatic music generation with artificial intelligence typically requires a large amount of data which is hard to obtain for many less common genres and musical instruments. To tackle this issue, we present ongoing work and preliminary…

Sound · Computer Science 2023-01-04 Li Zhang , Chris Callison-Burch

Large Language Models (LLMs) have shown significant promise in automated theorem proving, yet progress is often constrained by the scarcity of diverse and high-quality formal language data. To address this issue, we introduce…

Computation and Language · Computer Science 2025-12-02 Xinyuan Zhou , Yi Lei , Xiaoyu Zhou , Jingyi Sun , Yu Zhu , Zhongyi Ye , Weitai Zhang , Quan Liu , Si Wei , Cong Liu

Large Language Models (LLMs) have emerged as powerful tools in mathematical theorem proving, particularly when utilizing formal languages such as LEAN. A prevalent proof method involves the LLM prover iteratively constructing the proof…

Artificial Intelligence · Computer Science 2025-10-22 Zijian Wu , Suozhi Huang , Zhejian Zhou , Huaiyuan Ying , Zheng Yuan , Wenwei Zhang , Dahua Lin , Kai Chen

Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou