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We present Lean Refactor, a plug-and-play retrieval-augmented agentic framework for multi-objective, controllable, and version-robust refactoring of Lean proofs. LLM-generated proofs are notoriously correct-but-verbose and brittle across…

Logic in Computer Science · Computer Science 2026-05-21 Jialin Lu , Soonho Kong , Rodrigo Stehling , Kaiyu Yang , Zhangyang Wang , Weiran Sun , Wuyang Chen

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

Computation and Language · Computer Science 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang

Parameter identification for mechanistic Ordinary Differential Equation (ODE) models underpins prediction and control in several applications, yet remains a manual and labor-intensive process: datasets are noisy and partial, models can be…

Computational Engineering, Finance, and Science · Computer Science 2025-09-16 Saakaar Bhatnagar

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

Convex analysis is a modern branch of mathematics with many applications. As Large Language Models (LLMs) start to automate research-level math and sciences, it is important for LLMs to demonstrate the ability to understand and reason with…

Artificial Intelligence · Computer Science 2026-02-05 Yepeng Liu , Yu Huang , Yu-Xiang Wang , Yingbin Liang , Yuheng Bu

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

Large Language Models (LLMs) are evolving at an unprecedented pace and have exhibited considerable capability in the realm of natural language processing (NLP) with world knowledge. Benefiting from ultra-large-scale training corpora, a…

Artificial Intelligence · Computer Science 2024-08-22 Qiushi Sun , Zhangyue Yin , Xiang Li , Zhiyong Wu , Xipeng Qiu , Lingpeng Kong

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

Explaining observed phenomena through symbolic, interpretable formulas is a fundamental goal of science. Recently, large language models (LLMs) have emerged as promising tools for symbolic equation discovery, owing to their broad domain…

Artificial Intelligence · Computer Science 2026-02-26 Jianke Yang , Ohm Venkatachalam , Mohammad Kianezhad , Sharvaree Vadgama , Rose Yu

Large language models (LLMs) have shown exceptional performance as general-purpose assistants, excelling across a variety of reasoning tasks. This achievement represents a significant step toward achieving artificial general intelligence…

Artificial Intelligence · Computer Science 2024-08-13 Xiaoyu Tan , Yongxin Deng , Xihe Qiu , Weidi Xu , Chao Qu , Wei Chu , Yinghui Xu , Yuan Qi

Large Language Models (LLMs) have shown impressive reasoning capabilities, yet existing prompting methods face a critical trade-off: simple approaches often struggle with complex tasks and reasoning stability, while more sophisticated…

Computation and Language · Computer Science 2025-07-11 Guangya Wan , Yuqi Wu , Hao Wang , Shengming Zhao , Jie Chen , Sheng Li

Computational argumentation offers formal frameworks for transparent, verifiable reasoning but has traditionally been limited by its reliance on domain-specific information and extensive feature engineering. In contrast, LLMs excel at…

Artificial Intelligence · Computer Science 2026-03-18 Stylianos Loukas Vasileiou , Antonio Rago , Francesca Toni , William Yeoh

Large Language Models (LLMs) have garnered significant attention for several years now. Recently, their use as independently reasoning agents has been proposed. In this work, we test the potential of such agents for knowledge discovery in…

Artificial Intelligence · Computer Science 2026-01-28 Andreas Werbrouck , Marshall B. Lindsay , Matthew Maschmann , Matthias J. Young

Artificial intelligence is reshaping scientific exploration, but most methods automate procedural tasks without engaging in scientific reasoning, limiting autonomy in discovery. We introduce Materials Agents for Simulation and Theory in…

With the rise of artificial intelligence (AI), applying large language models (LLMs) to mathematical problem-solving has attracted increasing attention. Most existing approaches attempt to improve Operations Research (OR) optimization…

Artificial Intelligence · Computer Science 2025-08-04 Bowen Zhang , Pengcheng Luo , Genke Yang , Boon-Hee Soong , Chau Yuen

The rapid development of large language model (LLM)-based agents has unlocked new possibilities for autonomous multi-turn reasoning and tool-augmented decision-making. However, their real-world deployment is hindered by severe…

Reasoning is a fundamental cognitive process that enables logical inference, problem-solving, and decision-making. With the rapid advancement of large language models (LLMs), reasoning has emerged as a key capability that distinguishes…

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

This paper presents a novel approach to evaluating the security of large language models (LLMs) against prompt leakage-the exposure of system-level prompts or proprietary configurations. We define prompt leakage as a critical threat to…

Cryptography and Security · Computer Science 2025-02-19 Tvrtko Sternak , Davor Runje , Dorian Granoša , Chi Wang