Socratic Style Chain-of-Thoughts Help LLMs to be a Better Reasoner

Synthetic data generation has emerged as a promising approach to enhance the reasoning capabilities of large language models.However, existing methods remain hindered by high costs-either through expensive API access or additional intermediate training-and are limited in their ability to generalize across different domains.To address these challenges, we propose a multi-agent debate framework based on the Socratic questioning strategy, abbreviated as SoDa.Distinguished from previous methods that prioritize data quantity, we highlight the wisdom of Socratic questioning in augmenting reasoning quality by deepening the thinking process to encourage exploration and broadening it to motivate self-reflection on each question.Combined with our efficient production pipeline, SoDa enables scaling while maintaining affordable costs.We use SoDa to generate diverse datasets for mathematics and code generation tasks with the Qwen2.5-7B-Instructmodel, successfully fine-tuning a range of foundation models, from general-purpose ones to OpenAI o1-like ones.For mathematics, the experimental results show that SoDa outperforms the performance of existing datasets at the same scale, achieving improvements ranging from 1.3% to 13.5%.Remarkably, SoDa with 30K examples even surpasses the Scale-Quest dataset with 1000K samples, demonstrating significant efficiency.Our findings highlight the potential of SoDa as a universal, scalable, and cost-effective method for enhancing reasoning capabilities in large models across domains.Our code is available at https://github.com/codeoccen/SoDa.