🤖 AI Summary
Large language models (LLMs) exhibit limited performance on complex reasoning tasks, primarily due to the absence of structured methodological knowledge—such as divide-and-conquer, abductive reasoning, and analogical reasoning—in their training data. Method: We propose Chain-of-Methodology (CoM), a training-free prompting framework that explicitly encodes general human methodologies as reusable templates embeddable within reasoning chains, augmented by a metacognitive guidance mechanism to elicit systematic thinking and self-unfolding inference. CoM requires no fine-tuning or external tools, relying solely on prompt engineering. Contribution/Results: Evaluated across mathematical reasoning, multi-hop question answering, and scientific reasoning benchmarks, CoM consistently outperforms state-of-the-art prompting methods—including Chain-of-Thought (CoT) and Auto-CoT—demonstrating that injecting structured methodology effectively bridges the gap between LLM inference and human-like reasoning paradigms. This work establishes a novel, training-agnostic paradigm for high-order reasoning.
📝 Abstract
Large Language Models (LLMs) often struggle with complex reasoning tasks due to insufficient in-depth insights in their training data, which are typically absent in publicly available documents. This paper introduces the Chain of Methodologies (CoM), an innovative and intuitive prompting framework that enhances structured thinking by integrating human methodological insights, enabling LLMs to tackle complex tasks with extended reasoning. CoM leverages the metacognitive abilities of advanced LLMs, activating systematic reasoning throught user-defined methodologies without explicit fine-tuning. Experiments show that CoM surpasses competitive baselines, demonstrating the potential of training-free prompting methods as robust solutions for complex reasoning tasks and bridging the gap toward human-level reasoning through human-like methodological insights.