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Kai Zhao

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#artificial intelligence Preprint Sep 2026

Learning to Prove, Not Just to Answer: Reinforcement Learning from Formal Verification for Natural-Language Logical Reasoning

Proof-R1 is proposed, an RL framework from formal verification that trains LLMs to construct verifiable proofs for natural-language logical reasoning and improves answer accuracy across three logical reasoning benchmarks and four backbone models and outperforms training-free agents and training-based methods in terms o...

Qi-Li Zhang, Qian-Ren Mao, Han-Ze Cai et al. · 0 citations
Preprint Jul 2026

Index SLM Technical Report

Control studies on model depth, learning-rate magnitude and scheduling, the interaction between learning-rate decay and data quality, and the effect of including instruction data during pre-training are reported, and an unexplained surge in benchmark performance midway through the constant-learning-rate phase is docume...

Lusheng Zhang, Shien He, Tianxing Yan et al. · 0 citations

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