Discovery and Reinforcement of Tool-Integrated Reasoning Chains via Rollout Trees

Fuente: arXiv
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Main Authors: Li, Kun, Xu, Zenan, Li, Junan, Jin, Zengrui, Deng, Jinghao, Qiu, Zexuan, Zhou, Bo
Format: Preprint
Published: 2026
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author Li, Kun
Xu, Zenan
Li, Junan
Jin, Zengrui
Deng, Jinghao
Qiu, Zexuan
Zhou, Bo
author_facet Li, Kun
Xu, Zenan
Li, Junan
Jin, Zengrui
Deng, Jinghao
Qiu, Zexuan
Zhou, Bo
contents Tool-Integrated Reasoning has emerged as a key paradigm to augment Large Language Models (LLMs) with computational capabilities, yet integrating tool-use into long Chain-of-Thought (long CoT) remains underexplored, largely due to the scarcity of training data and the challenge of integrating tool-use without compromising the model's intrinsic long-chain reasoning. In this paper, we introduce DART (Discovery And Reinforcement of Tool-Integrated Reasoning Chains via Rollout Trees), a reinforcement learning framework that enables spontaneous tool-use during long CoT reasoning without human annotation. DART operates by constructing dynamic rollout trees during training to discover valid tool-use opportunities, branching out at promising positions to explore diverse tool-integrated trajectories. Subsequently, a tree-based process advantage estimation identifies and credits specific sub-trajectories where tool invocation positively contributes to the solution, effectively reinforcing these beneficial behaviors. Extensive experiments on challenging benchmarks like AIME and GPQA-Diamond demonstrate that DART significantly outperforms existing methods, successfully harmonizing tool execution with long CoT reasoning.
format Preprint
id arxiv_https___arxiv_org_abs_2601_08274
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Discovery and Reinforcement of Tool-Integrated Reasoning Chains via Rollout Trees
Li, Kun
Xu, Zenan
Li, Junan
Jin, Zengrui
Deng, Jinghao
Qiu, Zexuan
Zhou, Bo
Computation and Language
Tool-Integrated Reasoning has emerged as a key paradigm to augment Large Language Models (LLMs) with computational capabilities, yet integrating tool-use into long Chain-of-Thought (long CoT) remains underexplored, largely due to the scarcity of training data and the challenge of integrating tool-use without compromising the model's intrinsic long-chain reasoning. In this paper, we introduce DART (Discovery And Reinforcement of Tool-Integrated Reasoning Chains via Rollout Trees), a reinforcement learning framework that enables spontaneous tool-use during long CoT reasoning without human annotation. DART operates by constructing dynamic rollout trees during training to discover valid tool-use opportunities, branching out at promising positions to explore diverse tool-integrated trajectories. Subsequently, a tree-based process advantage estimation identifies and credits specific sub-trajectories where tool invocation positively contributes to the solution, effectively reinforcing these beneficial behaviors. Extensive experiments on challenging benchmarks like AIME and GPQA-Diamond demonstrate that DART significantly outperforms existing methods, successfully harmonizing tool execution with long CoT reasoning.
title Discovery and Reinforcement of Tool-Integrated Reasoning Chains via Rollout Trees
topic Computation and Language
url https://arxiv.org/abs/2601.08274