mlsanityData to 14 Oct 2026

Is PRM Necessary? Problem-Solving RL Implicitly Induces PRM Capability in LLMs

arXiv 2505.11227 ↗First posted 16 May 2025cs.AI cs.LGcited by 13

On the map: LLM reasoning → Reinforcement learning for reasoning

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Abstract (arXiv)

The development of reasoning capabilities represents a critical frontier in large language models (LLMs) research, where reinforcement learning (RL) and process reward models (PRMs) have emerged as predominant methodological frameworks. Contrary to conventional wisdom, empirical evidence from DeepSeek-R1 demonstrates that pure RL training focused on mathematical problem-solving can progressively enhance reasoning abilities without PRM integration, challenging the perceived necessity of process supervision. In this study, we conduct a systematic investigation of the relationship between RL training and PRM capabilities. Our findings demonstrate that problem-solving proficiency and process supervision capabilities represent complementary dimensions of reasoning that co-evolve synergistically during pure RL training. In particular, current PRMs underperform simple baselines like majority voting when applied to state-of-the-art models such as DeepSeek-R1 and QwQ-32B. To address this limitation, we propose Self-PRM, an introspective framework in which models autonomously evaluate and rerank their generated solutions through self-reward mechanisms. Although Self-PRM consistently improves the accuracy of the benchmark (particularly with larger sample sizes), analysis exposes persistent challenges: The approach exhibits low precision (<10%) on difficult problems, frequently misclassifying flawed solutions as valid. These analyses underscore the need for continued RL scaling to improve reward alignment and introspective accuracy. Overall, our findings suggest that PRM may not be essential for enhancing complex reasoning, as pure RL not only improves problem-solving skills but also inherently fosters robust PRM capabilities. We hope these findings provide actionable insights for building more reliable and self-aware complex reasoning models.

Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 32 of its 37 references that are in the map. First posted on arXiv 16 May 2025.

Builds on

32 of 37 references.

Closest ancestors · 17

Same direction, newest first

  1. 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
  2. 2025GenPRM: Scaling Test-Time Compute of Process Reward Models via Generative Reasoning1 Apr
  3. 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
  4. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  5. 2025Retrieval-Augmented Process Reward Model for Generalizable Mathematical Reasoning20 Feb
  6. 2025Process Reinforcement through Implicit Rewards3 Feb
  7. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  8. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
  9. 2024ProcessBench: Identifying Process Errors in Mathematical Reasoning9 Dec
  10. 2024Process Reward Model with Q-Value Rankings15 Oct
  11. 2024AlphaMath Almost Zero: Process Supervision without Process6 May
  12. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
5 more
  1. 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoning16 Oct
  2. 2023Let's Verify Step by Step31 May
  3. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
  4. 2022Solving math word problems with process- and outcome-based feedback25 Nov
  5. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 15

  1. 2022Training language models to follow instructions with human feedbackcited by 15,971
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  4. 2024GPT-4o System Cardcited by 4,588
  5. 2024Qwen2 Technical Reportcited by 2,120
  6. 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,444
  7. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,136
  8. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
  9. 2025R1-Searcher: Incentivizing the Search Capability in LLMs via Reinforcement Learningcited by 336
  10. 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 284
  11. 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 282
  12. 2025VisualPRM: An Effective Process Reward Model for Multimodal Reasoningcited by 139
3 more
  1. 2025Can 1B LLM Surpass 405B LLM? Rethinking Compute-Optimal Test-Time Scalingcited by 136
  2. 2023OVM, Outcome-supervised Value Models for Planning in Mathematical Reasoningcited by 85
  3. 2025Dyve: Thinking Fast and Slow for Dynamic Process Verificationcited by 9

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 6; 2026: 7.

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  1. 2025R-PRM: Reasoning-Driven Process Reward Modeling
  2. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning
  3. 2026LLM Reasoning with Process Rewards for Outcome-Guided Steps
  4. 2024On Designing Effective RL Reward at Training Time for LLM Reasoning
  5. 2023Let's Reinforce Step by Step
  6. 2026Reward Granularity in RLVR: Comparing Process and Outcome Reward Structures for Mathematical Reasoning in Small Language Models
  7. 2024Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning
  8. 2025Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective