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Large language models have demonstrated remarkable capabilities in natural language processing tasks requiring multi-step logical reasoning capabilities, such as automated theorem proving. However, challenges persist within theorem proving,…

Computation and Language · Computer Science 2026-05-26 Vincent Li , Tim Knappe , Yule Fu , Kevin Han , Kevin Zhu

Retrieval-Augmented Generation (RAG) enhances the performance of Large Language Models (LLMs) by incorporating external knowledge. However, LLMs still encounter challenges in effectively utilizing the knowledge from retrieved documents,…

Computation and Language · Computer Science 2025-02-26 Mingyan Wu , Zhenghao Liu , Yukun Yan , Xinze Li , Shi Yu , Zheni Zeng , Yu Gu , Ge Yu

Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

Machine Learning · Computer Science 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

Verifying software correctness has always been an important and complicated task. Recently, formal proofs of critical properties of algorithms and even implementations are becoming practical. Currently, the most powerful automated proof…

Logic in Computer Science · Computer Science 2019-04-10 Michael Raskin , Christoph Welzel

ML4PG is an extension of the Proof General interface, allowing the user to invoke machine-learning algorithms and find proof similarities in Coq/SSReect libraries. In this paper, we present three new improvements to ML4PG. First, a new…

Logic in Computer Science · Computer Science 2014-02-04 Jónathan Heras , Ekaterina Komendantskaya

Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof…

Neural and Evolutionary Computing · Computer Science 2016-04-18 Li-An Yang , Jui-Pin Liu , Chao-Hong Chen , Ying-ping Chen

We propose to build a reinforcement learning prover of independent components: a deductive system (an environment), the proof state representation (how an agent sees the environment), and an agent training algorithm. To that purpose, we…

Artificial Intelligence · Computer Science 2022-09-07 Boris Shminke

Automated data preparation is crucial for democratizing machine learning, yet existing reinforcement learning (RL) based approaches suffer from inefficient exploration in the vast space of possible preprocessing pipelines. We present…

Databases · Computer Science 2025-07-21 Jing Chang , Chang Liu , Jinbin Huang , Rui Mao , Jianbin Qin

LLMs exhibit advanced reasoning capabilities, offering the potential to transform natural language questions into mathematical models. However, existing open-source datasets in operations research domain lack detailed annotations of the…

Artificial Intelligence · Computer Science 2025-05-27 Teng Wang , Wing-Yin Yu , Zhenqi He , Zehua Liu , Hailei Gong , Han Wu , Xiongwei Han , Wei Shi , Ruifeng She , Fangzhou Zhu , Tao Zhong

Resolving complex information needs that come with multiple constraints should consider enforcing the logical operators encoded in the query (i.e., conjunction, disjunction, negation) on the candidate answer set. Current retrieval systems…

Information Retrieval · Computer Science 2026-02-02 Mohanna Hoveyda , Jelle Piepenbrock , Arjen P de Vries , Maarten de Rijke , Faegheh Hasibi

Recent advances in Automated Theorem Proving have shown the effectiveness of leveraging a (large) language model that generates tactics (i.e. proof steps) to search through proof states. The current model, while trained solely on successful…

Artificial Intelligence · Computer Science 2024-07-31 Chenyang An , Zhibo Chen , Qihao Ye , Emily First , Letian Peng , Jiayun Zhang , Zihan Wang , Sorin Lerner , Jingbo Shang

Finding appropriate prompts for the specific task has become an important issue as the usage of Large Language Models (LLM) has expanded. Reinforcement Learning (RL) is widely used for prompt tuning, but its inherent instability and…

Computation and Language · Computer Science 2024-10-11 Minchan Kwon , Gaeun Kim , Jongsuk Kim , Haeil Lee , Junmo Kim

We introduce our Leanabell-Prover-V2, a 7B large language models (LLMs) that can produce formal theorem proofs in Lean 4, with verifier-integrated Long Chain-of-Thoughts (CoT). Following our previous work Leanabell-Prover-V1, we continual…

Artificial Intelligence · Computer Science 2025-07-14 Xingguang Ji , Yahui Liu , Qi Wang , Jingyuan Zhang , Yang Yue , Rui Shi , Chenxi Sun , Fuzheng Zhang , Guorui Zhou , Kun Gai

We propose a novel approach to interactive theorem-proving (ITP) using deep reinforcement learning. The proposed framework is able to learn proof search strategies as well as tactic and arguments prediction in an end-to-end manner. We…

Machine Learning · Computer Science 2021-06-18 Minchao Wu , Michael Norrish , Christian Walder , Amir Dezfouli

Instructing large language models (LLMs) to solve elementary school math problems has shown great success using Chain of Thought (CoT). However, the CoT approach relies on an LLM to generate a sequence of arithmetic calculations which can…

Computation and Language · Computer Science 2024-05-29 Xiaocheng Yang , Bingsen Chen , Yik-Cheung Tam

Large Language Models (LLMs) have recently advanced the field of Automated Theorem Proving (ATP), attaining substantial performance gains through widely adopted test-time scaling strategies, notably reflective Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-09-17 Mukai Li , Linfeng Song , Zhenwen Liang , Jiahao Xu , Shansan Gong , Qi Liu , Haitao Mi , Dong Yu

Reinforcement learning (RL) has recently shown impressive performance in complex game AI and robotics tasks. To a large extent, this is thanks to the availability of simulated environments such as OpenAI Gym, Atari Learning Environment, or…

Computation and Language · Computer Science 2020-11-18 Rajkumar Ramamurthy , Rafet Sifa , Christian Bauckhage

Chain-of-Thought (CoT) prompting has significantly enhanced the mathematical reasoning capabilities of Large Language Models. We find existing fine-tuning datasets frequently suffer from the "answer right but reasoning wrong" probelm, where…

Artificial Intelligence · Computer Science 2026-01-13 Zihang Li , Yuhang Wang , Yikun Zong , Wenhan Yu , Xiaokun Yuan , Runhan Jiang , Zirui Liu , Tong Yang , Arthur Jiang

Although most of the automated theorem-proving approaches depend on formal proof systems, informal theorem proving can align better with large language models' (LLMs) strength in natural language processing. In this work, we identify a…

Artificial Intelligence · Computer Science 2026-04-20 Yunhe Li , Hao Shi , Bowen Deng , Wei Wang , Mengzhe Ruan , Hanxu Hou , Zhongxiang Dai , Siyang Gao , Chao Wang , Shuang Qiu , Linqi Song

Existing reinforcement learning strategies based on outcome supervision have proven effective in enhancing the performance of large language models(LLMs) for code generation. While reinforcement learning based on process supervision has…

Software Engineering · Computer Science 2025-02-05 Yufan Ye , Ting Zhang , Wenbin Jiang , Hua Huang