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Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models

Written for the Research library (claude-opus-5-5) from the paper text. Original — arxiv.org/pdf/2503.09567

Summary

Reasoning-focused LLMs such as OpenAI-o1 and DeepSeek-R1 do well in maths and coding largely because they produce very long chains of thought. Until this survey, the field had no single account of how this differs from ordinary, brief chain-of-thought prompting. Chen et al. review a very large body of work (over a thousand references) to fill that gap. They formalise Short CoT as a linear sequence of logical nodes with a strict upper limit on its length. Long CoT is then defined by loosening those limits in three ways:

  • Deep reasoning: a much larger node budget.
  • Extensive exploration: branching into parallel, uncertain paths.
  • Feasible reflection: giving feedback on earlier steps and then refining them.

The authors organise existing methods into a taxonomy built on these three dimensions. It covers reasoning formats, SFT- and RL-based training, feedback and critique models, and search-based exploration. They also discuss overthinking, inference-time scaling and the "Aha Moment". The paper runs no new experiments. Its value is a shared vocabulary, a structured map of a fast-growing literature and a list of open problems, which makes it a practical starting point for building or evaluating reasoning models.

Key points

  • Formal model: Short CoT is capped at B_s logical nodes and steps strictly forward. Long CoT raises the cap to B_l, which is much larger than B_s, and also allows going back to earlier nodes and exploring branches in parallel.
  • Taxonomy: Deep reasoning is split into format and learning. Feasible reflection is split into feedback and refinement. Extensive exploration is split into scaling, internal exploration and external exploration. Examples mapped onto it include GRPO, PRIME, ToT, Self-Consistency, MCTS variants (rStar-Math, ReST-MCTS*), s1, LIMO and Kimi-k1.5.
  • Phenomena analysed: the emergence of Long CoT, overthinking, inference-time scaling and the "Aha Moment". The survey notes a debate over whether longer chains reliably improve accuracy.
  • Safety: Long CoT can make hallucinations, jailbreaks and harmful output more likely. Examples include the OverThink attack and harmful content found in DeepSeek-R1. Proposed defences include Safety Reasoning with Guidelines (SRG) and hybrid RL+SFT training.
  • Future directions and resources: open directions are multimodal reasoning, efficiency and knowledge integration. Curated materials are at long-cot.github.io and in the GitHub repo LightChen233/Awesome-Long-Chain-of-Thought-Reasoning.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

Fields: AI & machine learning

Cited by

147 papers of our library cite it (of the 140673 whose bibliographies we read).

Cite

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.48550/arxiv.2503.09567 · arXiv 2503.09567

@misc{chen2025reasoning,
  title = {{Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models}},
  author = {Chen, Qiguang and Qin, Libo and Liu, Jinhao and Peng, Dengyun and Guan, Jiannan and Wang, Peng and Hu, Mengkang and Zhou, Yuhang and Gao, Te and Che, Wanxiang},
  year = {2025},
  doi = {10.48550/arxiv.2503.09567},
  eprint = {2503.09567},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.48550/arxiv.2503.09567}
}

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  1102. Chujie Zheng, Zhenru Zhang, Beichen Zhang, Runji Lin, Keming Lu, Bowen Yu, Dayiheng Liu, Jingren Zhou, and Junyang Lin. Processbench: Identifying process errors in mathematical reasoning. arXiv preprint arXiv:2412.06559, 2024. find our card
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