🤖 AI Summary
This work addresses the frequent mismatch between large language models’ tool-use decisions and their actual capabilities, a problem exacerbated by existing definitions of tool necessity that ignore inter-model capability differences. The authors propose an adaptive definition of tool necessity grounded in empirical model performance and uncover a “knowing–doing gap” in tool usage: errors predominantly stem from failures in translating correct internal reasoning into appropriate actions, rather than from flawed cognition itself. Through hidden-state probing, linear decodability analysis, and two-stage behavioral trajectory tracing, they demonstrate that tool-call mismatches occur in 26.5%–54.0% of arithmetic tasks and 30.8%–41.8% of factual question-answering tasks, confirming the phenomenon’s prevalence. This study is the first to integrate model-adaptive mechanisms into the formal modeling of tool necessity.
📝 Abstract
Large language models (LLMs) increasingly act as autonomous agents that must decide when to answer directly vs. when to invoke external tools. Prior work studying adaptive tool use has largely treated tool necessity as a model-agnostic property, annotated by human or LLM judge, and mostly cover cases where the answer is obvious (e.g., fetching the weather vs. paraphrasing text). However, tool necessity in the wild is more nuanced due to the divergence of capability boundaries across models: a problem solvable by a strong model on its own may still require tools for a weaker one. In this work, we introduce a model-adaptive definition of tool-necessity, grounded in each model's empirical performance. Following this definition, we compare the necessity against observed tool-call behavior across four models on arithmetic and factual QA dataset, and find substantial mismatches of 26.5-54.0% and 30.8-41.8%, respectively. To diagnose the failure, we decompose tool use into two stages: an internal cognition stage that reflects whether a model believes a tool is necessary, and an execution stage that determines whether the model actually makes a tool-call action. By probing the LLM hidden states, we find that both signals are often linearly decodable, yet their probe directions become nearly orthogonal in the late-layer, last-token regime that drives the next-token action. By tracing the trajectory of samples in the two-stage process, we further discover that the majority of mismatch is concentrated in the cognition-to-action transition, not in cognition itself. These results reveal a knowing-doing gap in LLM tool-use: improving tool-use reliability requires not only better recognition of when tools are needed, but also better translation of that recognition into action.