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This paper proposes a natural language translation method for machine-verifiable formal proofs that leverages the informalization (verbalization of formal language proof steps) and summarization capabilities of LLMs. For evaluation, it was…

Computation and Language · Computer Science 2025-09-15 Seiji Hattori , Takuya Matsuzaki , Makoto Fujiwara

The alignments of reasoning abilities between smaller and larger Language Models are largely conducted via Supervised Fine-Tuning (SFT) using demonstrations generated from robust Large Language Models (LLMs). Although these approaches…

Computation and Language · Computer Science 2025-01-28 Leonardo Ranaldi , Andrè Freitas

Large Language Models (LLMs) for public use require continuous pre-training to remain up-to-date with the latest data. The models also need to be fine-tuned with specific instructions to maintain their ability to follow instructions…

Computation and Language · Computer Science 2024-10-15 Ishan Jindal , Chandana Badrinath , Pranjal Bharti , Lakkidi Vinay , Sachin Dev Sharma

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Large language models (LLMs) excel at reasoning, yet post-training remains critical for aligning their behavior with task goals. Existing reinforcement learning (RL) methods often depend on costly human annotations or external reward…

Computation and Language · Computer Science 2025-06-12 Pengyi Li , Matvey Skripkin , Alexander Zubrey , Andrey Kuznetsov , Ivan Oseledets

In this report, we present the third technical report on the development of slow-thinking models as part of the STILL project. As the technical pathway becomes clearer, scaling RL training has become a central technique for implementing…

Computation and Language · Computer Science 2025-03-07 Zhipeng Chen , Yingqian Min , Beichen Zhang , Jie Chen , Jinhao Jiang , Daixuan Cheng , Wayne Xin Zhao , Zheng Liu , Xu Miao , Yang Lu , Lei Fang , Zhongyuan Wang , Ji-Rong Wen

Value-based reinforcement learning (RL) can in principle learn effective policies for a wide range of multi-turn problems, from games to dialogue to robotic control, including via offline RL from static previously collected datasets.…

Machine Learning · Computer Science 2024-11-28 Joey Hong , Anca Dragan , Sergey Levine

Self-training approach for large language models (LLMs) improves reasoning abilities by training the models on their self-generated rationales. Previous approaches have labeled rationales that produce correct answers for a given question as…

Machine Learning · Computer Science 2025-02-07 Jaehyeok Lee , Keisuke Sakaguchi , JinYeong Bak

Autoformalization aims to produce formal statements that compile and faithfully preserve the intended meaning of informal mathematics. Yet standard single-output evaluation protocols collapse a many-to-many problem into a single-output…

Artificial Intelligence · Computer Science 2026-05-29 Haijian Lu , Wei Wang , Jing Liu

Small language models (SLMs) are more efficient, cost-effective, and customizable than large language models (LLMs), though they often underperform in specific areas like reasoning. Past methods for enhancing SLMs' reasoning, such as…

Computation and Language · Computer Science 2024-12-12 Kaiyuan Chen , Jin Wang , Xuejie Zhang

In this work, we present a simple yet theoretically motivated improvement to Supervised Fine-Tuning (SFT) for the Large Language Model (LLM), addressing its limited generalization compared to reinforcement learning (RL). Through…

Machine Learning · Computer Science 2026-03-02 Yongliang Wu , Yizhou Zhou , Zhou Ziheng , Yingzhe Peng , Xinyu Ye , Xinting Hu , Wenbo Zhu , Lu Qi , Ming-Hsuan Yang , Xu Yang

With the rapid advancement of Large Language Models (LLMs), the Chain-of-Thought (CoT) component has become significant for complex reasoning tasks. However, in conventional Supervised Fine-Tuning (SFT), the model could allocate…

Computation and Language · Computer Science 2025-12-25 Xiaofeng Shi , Qian Kou , Yuduo Li , Hua Zhou

Automating the formalization of mathematical statements for theorem proving remains a major challenge for Large Language Models (LLMs). LLMs struggle to identify and utilize the prerequisite mathematical knowledge and its corresponding…

Artificial Intelligence · Computer Science 2026-04-08 Meiru Zhang , Philipp Borchert , Milan Gritta , Gerasimos Lampouras

Large language models (LLMs) offer a powerful opportunity to simulate the results of social science experiments. In this work, we demonstrate that finetuning LLMs directly on individual-level responses from past experiments meaningfully…

Machine Learning · Computer Science 2025-11-07 Akaash Kolluri , Shengguang Wu , Joon Sung Park , Michael S. Bernstein

Large language models (LLMs) operate in two fundamental learning modes - fine-tuning (FT) and in-context learning (ICL) - raising key questions about which mode yields greater language proficiency and whether they differ in their inductive…

Computation and Language · Computer Science 2026-05-19 Bishwamittra Ghosh , Soumi Das , Till Speicher , Qinyuan Wu , Mohammad Aflah Khan , Deepak Garg , Krishna P. Gummadi , Evimaria Terzi

When an LLM formalizes natural language, how do we know the output is faithful? We propose a roundtrip verification approach which does not require ground-truth annotations: formalize a statement, translate the result back to natural…

Computation and Language · Computer Science 2026-05-12 Daneshvar Amrollahi , Jerry Lopez , Clark Barrett

Large Language Models (LLMs) excel at both informal and formal (e.g. Lean 4) mathematical reasoning but still struggle with autoformalisation, the task of transforming informal into formal mathematical statements. Autoformalisation helps…

Computation and Language · Computer Science 2025-10-15 Yupei Li , Philipp Borchert , Gerasimos Lampouras

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

General-purpose Large Language Models (LLMs) are frequently fine-tuned through supervised fine-tuning (SFT) to enhance performance in specific domains. Better results can be achieved by distilling the chain-of-thought of a larger model at…

Machine Learning · Computer Science 2026-03-24 Andrey Goncharov , Daniil Vyazhev , Petr Sychev , Edvard Khalafyan , Alexey Zaytsev

Recent literature on fine-tuning Large Language Models highlights a fundamental debate. While Full Fine-Tuning (FFT) provides the representational plasticity required for high-entropy knowledge injection, Low-Rank Adaptation (LoRA) can…

Computation and Language · Computer Science 2026-05-19 Haozhan Tang , Xiuqi Zhu , Xinyin Zhang , Boxun Li , Virginia Smith , Kevin Kuo