Challenge: Existing methods to improve LLMs’ logical capabilities involve traceable or verifiable logical sequences that generate more reliable responses yet increase computational costs, or introduce rigid logic template rules, reducing flexibility.
Approach: They propose a plug-and-play reasoning framework that enhances LLMs' logical reasoning abilities during the warm-up phase prior to batch inference.
Outcome: The proposed framework surpasses baselines in both reasoning accuracy and efficiency.

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Challenge: Experimental evaluations of large language models demonstrate the efficacy of enhanced reasoning by logic.
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Challenge: Existing reasoning paradigms that focus on local optimum reasoning lack global perspective.
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Challenge: Existing methods that prune or employ early stopping to reduce latency often compromise reasoning reliability.
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