IH-GRPO

Implicit Hierarchical GRPO: Decoupling Tool Invocation from Execution for Tool-Integrated Mathematical Reasoning

This paper introduces IH-GRPO, a reinforcement learning algorithm that decouples tool invocation from immediate execution during LLM reasoning, addressing the coherence disruption caused by tight coupling in existing tool-integrated reasoning (TIR) approaches. The authors propose a hierarchical control framework and derive a surrogate loss enabling an implicitly hierarchical policy to match the behavior of an explicit hierarchical policy. Experiments on Qwen3 models (1.7B, 4B, 8B) show absolute improvements of 1.87–2.53% across six out-of-domain mathematical reasoning benchmarks over the strongest baseline. Code is publicly released.