RLPR: Extrapolating RLVR to General Domains without Verifiers
Authors: name: Tianyu Yu; name: Bo Ji; name: Shouli Wang; name: Shu Yao; name: Zefan Wang; name: Ganqu Cui; name: Lifan Yuan; name: Ning Ding; name: Yuan Yao; name: Zhiyuan Liu; name: Maosong Sun; name: Tat-Seng Chua
Published: 2025-06-23 02:56:36

Abstract: Reinforcement Learning with Verifiable Rewards (RLVR) demonstrates promising
potential in advancing the reasoning capabilities of LLMs. However, its success
remains largely confined to mathematical and code domains. This primary
limitation stems from the heavy reliance on domain-specific verifiers, which
results in prohibitive complexity and limited scalability. To address the
challenge, our key observation is that LLM's intrinsic probability of
generating a correct free-form answer directly indicates its own evaluation of
the reasoning reward (i.e., how well the reasoning process leads to the correct
answer). Building on this insight, we propose RLPR, a simple verifier-free
framework that extrapolates RLVR to broader general domains. RLPR uses the
LLM's own token probability scores for reference answers as the reward signal
and maximizes the expected reward during training. We find that addressing the
high variance of this noisy probability reward is crucial to make it work, and
propose prob-to-reward and stabilizing methods to ensure a precise and stable
reward from LLM intrinsic probabilities. Comprehensive experiments in four
general-domain benchmarks and three mathematical benchmarks show that RLPR
consistently improves reasoning capabilities in both areas for Gemma, Llama,
and Qwen based models. Notably, RLPR outperforms concurrent VeriFree by 7.6
points on TheoremQA and 7.5 points on Minerva, and even surpasses strong
verifier-model-dependent approaches General-Reasoner by 1.6 average points
across seven benchmarks.