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Although traditional symbolic reasoning methods are highly interpretable, their application in knowledge graphs link prediction has been limited due to their computational inefficiency. A new RNNNTP method is proposed in this paper, using a…

Machine Learning · Computer Science 2022-03-15 Yu-hao Wu , Hou-biao Li

Proving mathematical theorems using computer-verifiable formal languages like Lean significantly impacts mathematical reasoning. One approach to formal theorem proving involves generating complete proofs using Large Language Models (LLMs)…

Formal Languages and Automata Theory · Computer Science 2024-10-07 Ruida Wang , Jipeng Zhang , Yizhen Jia , Rui Pan , Shizhe Diao , Renjie Pi , Tong Zhang

Natural language explanations represent a proxy for evaluating explanation-based and multi-step Natural Language Inference (NLI) models. However, assessing the validity of explanations for NLI is challenging as it typically involves the…

Computation and Language · Computer Science 2024-10-14 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Large Language Models (LLMs) for formal theorem proving have shown significant promise, yet they often lack generalizability and are fragile to even minor transformations of problem statements. To address this limitation, we introduce a…

Artificial Intelligence · Computer Science 2025-10-02 Yuchen Tian , Ruiyuan Huang , Xuanwu Wang , Jing Ma , Zengfeng Huang , Ziyang Luo , Hongzhan Lin , Da Zheng , Lun Du

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

Since the release of Deepseek-R1, reinforcement learning with verifiable rewards (RLVR) has become a central approach for training large language models (LLMs) on reasoning tasks. Recent work has largely focused on modifying loss functions…

Machine Learning · Computer Science 2025-10-03 Weizhe Chen , Sven Koenig , Bistra Dilkina

Recent studies show that the reasoning capabilities of Large Language Models (LLMs) can be improved by applying Reinforcement Learning (RL) to question-answering (QA) tasks in areas such as math and coding. With a long context length, LLMs…

Computation and Language · Computer Science 2025-10-17 Stephen Chung , Wenyu Du , Jie Fu

A major challenge in applying machine learning to automated theorem proving is the scarcity of training data, which is a key ingredient in training successful deep learning models. To tackle this problem, we propose an approach that relies…

Artificial Intelligence · Computer Science 2021-04-08 Vlad Firoiu , Eser Aygun , Ankit Anand , Zafarali Ahmed , Xavier Glorot , Laurent Orseau , Lei Zhang , Doina Precup , Shibl Mourad

Recent reasoning models, such as OpenAI's O1 series, have demonstrated exceptional performance on complex reasoning tasks and revealed new test-time scaling laws. Inspired by this, many people have been studying how to train models to…

Computation and Language · Computer Science 2025-06-03 Weizhe Chen , Sven Koenig , Bistra Dilkina

Large Language Models (LLMs), particularly smaller variants, still struggle with complex reasoning tasks. While inference-time prompting can guide reasoning, existing methods often rely on sequential queries. Ensemble approaches offer a…

Computation and Language · Computer Science 2025-10-28 Gregory Kang Ruey Lau , Wenyang Hu , Diwen Liu , Jizhuo Chen , See-Kiong Ng , Bryan Kian Hsiang Low

We introduce a theorem proving approach to the specification and generation of temporal logical constraints for training neural networks. We formalise a deep embedding of linear temporal logic over finite traces (LTL$_f$) and an associated…

Artificial Intelligence · Computer Science 2022-07-11 Mark Chevallier , Matthew Whyte , Jacques D. Fleuriot

Tree of Thoughts (ToT) enhances Large Language Model (LLM) reasoning by structuring problem-solving as a spanning tree. However, recent methods focus on search accuracy while overlooking computational efficiency. The challenges of…

Artificial Intelligence · Computer Science 2025-02-28 Yifu Ding , Wentao Jiang , Shunyu Liu , Yongcheng Jing , Jinyang Guo , Yingjie Wang , Jing Zhang , Zengmao Wang , Ziwei Liu , Bo Du , Xianglong Liu , Dacheng Tao

Large Language Models (LLMs) have exhibited remarkable capabilities in many complex tasks including mathematical reasoning. However, traditional approaches heavily rely on ensuring self-consistency within single prompting method, which…

Computation and Language · Computer Science 2024-10-15 Gisang Lee , Sangwoo Park , Junyoung Park , Andrew Chung , Sieun Park , Yoonah Park , Byungju Kim , Min-gyu Cho

While large language models have made significant progress in mathematical reasoning, they remain unreliable at judging the correctness of their own solutions. Existing approaches that equip models with self-verification typically treat…

Computation and Language · Computer Science 2026-05-28 Haihui Pan , Junwei Bao , Hongfei Jiang , Yang Song

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

Recent advances in large language models (LLMs) have popularized test-time scaling, where models generate additional reasoning tokens before producing final answers. These approaches have demonstrated significant performance improvements on…

Artificial Intelligence · Computer Science 2026-01-13 Wenxun Wu , Yuanyang Li , Guhan Chen , Linyue Wang , Hongyang Chen

We introduce Probe Pruning (PP), a novel framework for online, dynamic, structured pruning of Large Language Models (LLMs) applied in a batch-wise manner. PP leverages the insight that not all samples and tokens contribute equally to the…

Computation and Language · Computer Science 2025-02-24 Qi Le , Enmao Diao , Ziyan Wang , Xinran Wang , Jie Ding , Li Yang , Ali Anwar

To take advantage of Large Language Model in theorem formalization and proof, we propose a reinforcement learning framework to iteratively optimize the pretrained LLM by rolling out next tactics and comparing them with the expected ones.…

Artificial Intelligence · Computer Science 2025-02-14 Zhiling Luo

The prevalence of Transformer-based pre-trained language models (PLMs) has led to their wide adoption for various natural language processing tasks. However, their excessive overhead leads to large latency and computational costs. The…

Computation and Language · Computer Science 2023-05-23 Wenxi Tan

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
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