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Reinforcement Learning (RL) has become a pivotal approach for enhancing the reasoning capabilities of Large Language Models (LLMs). However, a significant theoretical gap persists, as traditional token-level RL frameworks fail to align with…

Artificial Intelligence · Computer Science 2025-09-26 Zeyu Gan , Hao Yi , Yong Liu

Existing large language models (LLMs) face challenges of following complex instructions, especially when multiple constraints are present and organized in paralleling, chaining, and branching structures. One intuitive solution, namely…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Yulei Qin , Gang Li , Zongyi Li , Zihan Xu , Yuchen Shi , Zhekai Lin , Xiao Cui , Ke Li , Xing Sun

Chain-of-thought (CoT) is a standard approach for eliciting reasoning capabilities from large language models (LLMs). However, the common CoT paradigm treats thinking as a prerequisite for answering, which can delay access to plausible…

Computation and Language · Computer Science 2026-05-20 Dachuan Shi , Hanlin Zhu , Xiangchi Yuan , Wanjia Zhao , Kejing Xia , Wen Xiao , Wenke Lee

Reasoning language models improve performance on complex tasks by generating long chains of thought (CoTs), but this process can also increase harmful outputs in adversarial settings. In this work, we ask whether the long CoTs can be…

Computation and Language · Computer Science 2025-10-08 Yik Siu Chan , Zheng-Xin Yong , Stephen H. Bach

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

Reasoning with a chain-of-thought (CoT) enables Large Language Models (LLMs) to solve complex tasks but incurs significant inference costs due to the generation of long rationales. We propose Thinking States, a method that performs…

Computation and Language · Computer Science 2026-02-10 Ido Amos , Avi Caciularu , Mor Geva , Amir Globerson , Jonathan Herzig , Lior Shani , Idan Szpektor

Large language models (LLMs) can achieve strong reasoning performance with sufficient computation, but they do not inherently know how much computation a task requires. We study budgeted inference-time reasoning for multiple tasks under a…

Artificial Intelligence · Computer Science 2026-01-08 Muyang Zhao , Qi Qi , Hao Sun

Chain of thought finetuning (cot-finetuning) aims to endow small language models (SLM) with reasoning ability to improve their performance towards specific tasks by allowing them to imitate the reasoning procedure of large language models…

Computation and Language · Computer Science 2025-08-08 Xiaoshu Chen , Sihang Zhou , Ke Liang , Xinwang Liu

Discovering novel high-level concepts is one of the most important steps needed for human-level AI. In inductive logic programming (ILP), discovering novel high-level concepts is known as predicate invention (PI). Although seen as crucial…

Artificial Intelligence · Computer Science 2021-04-30 Andrew Cropper , Rolf Morel

Large Language Models (LLMs) have demonstrated remarkable capabilities in complex tasks. Recent advancements in Large Reasoning Models (LRMs), such as OpenAI o1 and DeepSeek-R1, have further improved performance in System-2 reasoning…

Computation and Language · Computer Science 2025-08-25 Yang Sui , Yu-Neng Chuang , Guanchu Wang , Jiamu Zhang , Tianyi Zhang , Jiayi Yuan , Hongyi Liu , Andrew Wen , Shaochen Zhong , Na Zou , Hanjie Chen , Xia Hu

We propose cognitive prompting as a novel approach to guide problem-solving in large language models (LLMs) through structured, human-like cognitive operations, such as goal clarification, decomposition, filtering, abstraction, and pattern…

Computation and Language · Computer Science 2024-12-03 Oliver Kramer , Jill Baumann

Large Language Models (LLMs) exhibit remarkable proficiency in addressing a diverse array of tasks within the Natural Language Processing (NLP) domain, with various prompt design strategies significantly augmenting their capabilities.…

Computation and Language · Computer Science 2024-08-05 Xiangyu Zhao , Chengqian Ma

Prompt engineering is an essential technique for enhancing the abilities of large language models (LLMs) by providing explicit and specific instructions. It enables LLMs to excel in various tasks, such as arithmetic reasoning, question…

Computation and Language · Computer Science 2024-03-29 Fobo Shi , Peijun Qing , Dong Yang , Nan Wang , Youbo Lei , Haonan Lu , Xiaodong Lin , Duantengchuan Li

Numerous decision-making tasks require estimating causal effects under interventions on different parts of a system. As practitioners consider using large language models (LLMs) to automate decisions, studying their causal reasoning…

Machine Learning · Computer Science 2024-12-24 Tejas Kasetty , Divyat Mahajan , Gintare Karolina Dziugaite , Alexandre Drouin , Dhanya Sridhar

Chain-of-thought (CoT) prompting has been shown to empirically improve the accuracy of large language models (LLMs) on various question answering tasks. While understanding why CoT prompting is effective is crucial to ensuring that this…

Computation and Language · Computer Science 2023-07-26 Skyler Wu , Eric Meng Shen , Charumathi Badrinath , Jiaqi Ma , Himabindu Lakkaraju

Outcome-reward reinforcement learning (RL) has proven effective at improving the reasoning capabilities of large language models (LLMs). However, standard RL assigns credit only at the level of the final answer, penalizing entire reasoning…

Machine Learning · Computer Science 2026-01-21 Matthew Y. R. Yang , Hao Bai , Ian Wu , Gene Yang , Amrith Setlur , Aviral Kumar

Reasoning capabilities of large language models are primarily studied for English, even when pretrained models are multilingual. In this work, we investigate to what extent English reasoning finetuning with long chain-of-thoughts (CoTs) can…

Chain-of-thought (CoT) rationale enables language models to use additional task-related text for problem-solving, benefiting not only from detailed reasoning steps but also from the expanded computational space of longer inputs. Prior work…

Computation and Language · Computer Science 2025-09-30 Yoonna Jang , Kisu Yang , Isabelle Augenstein

While explicit Chain-of-Thought (CoT) equips Large Language Models (LLMs) with strong reasoning capabilities, it requires models to verbalize every intermediate step in text tokens, constraining the model thoughts to the discrete vocabulary…

Computation and Language · Computer Science 2026-02-12 Weihao Liu , Dehai Min , Lu Cheng

Large language models (LLMs) have shown impressive performance on complex reasoning by leveraging chain-of-thought (CoT) prompting to generate intermediate reasoning chains as the rationale to infer the answer. However, existing CoT studies…

Computation and Language · Computer Science 2024-05-21 Zhuosheng Zhang , Aston Zhang , Mu Li , Hai Zhao , George Karypis , Alex Smola