> ## Documentation Index > Fetch the complete documentation index at: https://aegean.ai/llms.txt > Use this file to discover all available pages before exploring further. # Reasoning > Reasoning techniques for LLMs and VLMs including chain-of-thought, tool use, ReAct, and visual reasoning. This section covers emergent reasoning capabilities in large and vision-language models, and how to elicit and extend them through structured prompting and interaction patterns. ## LLM Reasoning Step-by-step reasoning that prompts LLMs to articulate intermediate reasoning steps before arriving at a final answer. Extending LLM capabilities with external tools such as calculators, search engines, and code interpreters. Interleaving reasoning traces and actions, enabling LLMs to dynamically plan and interact with environments. ## Lab AAAI 2026 — Fine-tune DeepSeek-R1-Distill-Qwen-1.5B with GRPO on a compact math dataset. AMC23 accuracy improves from 63% to 80%; AIME24 reaches 46.7%, surpassing o1-preview. Full training run costs \~\$42 on 4× A40 GPUs. ## VLM Reasoning Visual chain-of-thought and grounded tool use for vision-language models. ## Further reading * Hugging Face — [LLM Course, Chapter 12: Reasoning](https://huggingface.co/learn/llm-course/en/chapter12/1) RL-for-reasoning training pipeline: (1) Generation — a batch of sequences is rolled out by Generators under policy πᵢ; (2) Scoring — Verifiers judge each completion and emit a reward; (3) Batching — scored sequences from the current policy are assembled into the step-i batch; (4) Weight update — Trainers take the batch and produce the next policy πᵢ₊₁ = πᵢ + ∇J. Dotted lines mark policy changes between batches; faded horizontal tracks carry over from previous policies. *RL-for-reasoning training loop: the four canonical stages (Generation → Scoring → Batching → Weight update) that every GRPO / RLHF / RLAIF pipeline implements.* *** [Edit this page on GitHub](https://github.com/aegean-ai/eaia/edit/main/src/aiml-common/lectures/reasoning/index.mdx) or [file an issue](https://github.com/aegean-ai/eaia/issues/new/choose).