Challenge: Large language models have demonstrated strong reasoning capabilities through step-by-step chain-of-thought (CoT) reasoning, but their strictly sequential nature constrains test-time scalability.
Approach: They propose an end-to-end reinforcement learning framework to enhance LLMs' DAC-style reasoning capacity by decomposing a problem into subproblems and solving them sequentially.
Outcome: The proposed model surpasses CoT by 8.6% and 6.3% on competition-level benchmarks and is available at the [github.com/MasterVito/DAC-RL].

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Challenge: Existing methods to generate intermediate steps (CoT) are limited by the maximum context size due to various reasons.
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Challenge: Reasoning is a core capability of large language models, yet how multi-step reasoning is learned and executed remains unclear.
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Challenge: Existing methods for Chain-of-Thought evaluations do not distinguish between genuine reasoning and mere verbosity.
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Challenge: Recent advances in Generative Reward Models have demonstrated that scaling the length of Chain-of-Thought reasoning enhances reliability of evaluation.
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Challenge: Existing large reasoning models are limited by their closed nature and high API costs and safety issues.
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Challenge: Existing research on reinforcement learning for LLMs under data scarcity has not been unified.
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