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Existing approaches to learning to prove theorems focus on particular logics and datasets. In this work, we propose Monte-Carlo simulations guided by reinforcement learning that can work in an arbitrarily specified logic, without any human…

Artificial Intelligence · Computer Science 2022-04-07 Stanisław J. Purgał , Cezary Kaliszyk

Large language models have the potential to simplify formal theorem proving and make it more accessible. But how to get the most out of these models is still an open question. To answer this question, we take a step back and explore the…

Formal Languages and Automata Theory · Computer Science 2023-06-02 Shizhuo Dylan Zhang , Talia Ringer , Emily First

Inductive reasoning enables humans to infer abstract rules from limited examples and apply them to novel situations. In this work, we compare an LLM-based hypothesis search framework with direct program generation approaches on few-shot…

Artificial Intelligence · Computer Science 2025-09-03 Aishni Parab , Hongjing Lu , Ying Nian Wu , Sumit Gulwani

Large language models (LLMs) remain prone to factual inaccuracies and computational errors, including hallucinations and mistakes in mathematical reasoning. Recent work augmented LLMs with tools to mitigate these shortcomings, but often…

Computation and Language · Computer Science 2025-02-11 Ne Luo , Aryo Pradipta Gema , Xuanli He , Emile van Krieken , Pietro Lesci , Pasquale Minervini

Automated tabular understanding and reasoning are essential tasks for data scientists. Recently, Large language models (LLMs) have become increasingly prevalent in tabular reasoning tasks. Previous work focuses on (1) finetuning LLMs using…

Machine Learning · Computer Science 2025-08-27 Chufan Gao , Jintai Chen , Jimeng Sun

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Pre-trained language models (LMs) are able to perform complex reasoning without explicit fine-tuning. To understand how pre-training with a next-token prediction objective contributes to the emergence of such reasoning capability, we…

Machine Learning · Computer Science 2024-06-24 Xinyi Wang , Alfonso Amayuelas , Kexun Zhang , Liangming Pan , Wenhu Chen , William Yang Wang

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Machine unlearning algorithms are increasingly important as legal concerns arise around the provenance of training data, but verifying the success of unlearning is often difficult. Provable guarantees for unlearning are often limited to…

Machine Learning · Computer Science 2025-04-22 Stanley Wei , Sadhika Malladi , Sanjeev Arora , Amartya Sanyal

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

Training autoregressive models to better predict under the test metric, instead of maximizing the likelihood, has been reported to be beneficial in several use cases but brings additional complications, which prevent wider adoption. In this…

Machine Learning · Computer Science 2019-12-10 Irina Saparina , Anton Osokin

Despite the impressive capabilities of Multimodal Large Language Models (MLLMs) in integrating text and image modalities, challenges remain in accurately interpreting detailed visual elements. Vision detection models excel at recognizing…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Qirui Jiao , Daoyuan Chen , Yilun Huang , Yaliang Li , Ying Shen

Automated theorem proving has long been a key task of artificial intelligence. Proofs form the bedrock of rigorous scientific inquiry. Many tools for both partially and fully automating their derivations have been developed over the last…

Artificial Intelligence · Computer Science 2018-10-15 Brian Groenke

Reinforcement learning (RL) has demonstrated potential in enhancing the reasoning capabilities of large language models (LLMs), but such training typically demands substantial efforts in creating and annotating data. In this work, we…

Computation and Language · Computer Science 2025-10-06 Hangfan Zhang , Siyuan Xu , Zhimeng Guo , Huaisheng Zhu , Shicheng Liu , Xinrun Wang , Qiaosheng Zhang , Yang Chen , Peng Ye , Lei Bai , Shuyue Hu

In the domain of data science, the predictive tasks of classification, regression, and imputation of missing values are commonly encountered challenges associated with tabular data. This research endeavors to apply Large Language Models…

Machine Learning · Computer Science 2026-04-23 Yazheng Yang , Yuqi Wang , Yaxuan Li , Sankalok Sen , Lei Li , Lin Qiu , Qi Liu

Large Language Models (LLMs) have demonstrated significant potential in generating mathematical proofs. However, a persistent challenge is that LLMs occasionally make mistakes, while even a minor mistake can invalidate an entire proof.…

Logic in Computer Science · Computer Science 2025-03-10 David Yin , Jing Gao

In this paper, we evaluate the capability of transformer-based language models in making inferences over uncertain text that includes uncertain rules of reasoning. We cover both Pre-trained Language Models (PLMs) and generative Large…

Computation and Language · Computer Science 2024-02-12 Aliakbar Nafar , Kristen Brent Venable , Parisa Kordjamshidi

Open-sourced large language models (LLMs) have demonstrated remarkable efficacy in various tasks with instruction tuning. However, these models can sometimes struggle with tasks that require more specialized knowledge such as translation.…

Computation and Language · Computer Science 2024-01-23 Jiali Zeng , Fandong Meng , Yongjing Yin , Jie Zhou