Is PRM Necessary? Problem-Solving RL Implicitly Induces PRM Capability in LLMs
On the map: LLM reasoning → Reinforcement learning for reasoning
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
- 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
- 2025GenPRM: Scaling Test-Time Compute of Process Reward Models via Generative Reasoning1 Apr
- 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025Retrieval-Augmented Process Reward Model for Generalizable Mathematical Reasoning20 Feb
- 2025Process Reinforcement through Implicit Rewards3 Feb
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
- 2024ProcessBench: Identifying Process Errors in Mathematical Reasoning9 Dec
- 2024Process Reward Model with Q-Value Rankings15 Oct
- 2024AlphaMath Almost Zero: Process Supervision without Process6 May
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
5 more
- 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoning16 Oct
- 2023Let's Verify Step by Step31 May
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
- 2022Solving math word problems with process- and outcome-based feedback25 Nov
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 15
- 2022Training language models to follow instructions with human feedbackcited by 15,971
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2024GPT-4o System Cardcited by 4,588
- 2024Qwen2 Technical Reportcited by 2,120
- 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,444
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,136
- 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
- 2025R1-Searcher: Incentivizing the Search Capability in LLMs via Reinforcement Learningcited by 336
- 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 284
- 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 282
- 2025VisualPRM: An Effective Process Reward Model for Multimodal Reasoningcited by 139
Built on by
Citing papers per year: 2025: 6; 2026: 7.
13 papers.
Sort:
By area:
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 38
- 2026Policy and World Modeling Co-Training for Language Agentscited by 15
- 2026InT: Self-Proposed Interventions Enable Credit Assignment in LLM Reasoningcited by 14
- 2025Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learnercited by 11
- 2025Efficient PRM Training Data Synthesis via Formal Verificationcited by 8
- 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Surveycited by 8
- 2026What, Whether and How? Unveiling Process Reward Models for Thinking with Images Reasoningcited by 7
- 2025CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoningcited by 5
- 2025TaTToo: Tool-Grounded Thinking PRM for Test-Time Scaling in Tabular Reasoningcited by 5
- 2026CoRe-Code: Collaborative Reinforcement Learning for Code Generationcited by 4
- 2026AHD Agent: Agentic Reinforcement Learning for Automatic Heuristic Designcited by 3
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Toolscited by 1
1 more
- 2026Adapter Thickets: Splitting an RLVR Budget Beats Concentrating It1 Oct 2026
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Tools17 Jun 2026
- 2026Policy and World Modeling Co-Training for Language Agents1 Jun 2026
- 2026CoRe-Code: Collaborative Reinforcement Learning for Code Generation24 May 2026
- 2026AHD Agent: Agentic Reinforcement Learning for Automatic Heuristic Design9 May 2026
- 2026What, Whether and How? Unveiling Process Reward Models for Thinking with Images Reasoning9 Feb 2026
- 2026InT: Self-Proposed Interventions Enable Credit Assignment in LLM Reasoning20 Jan 2026
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Models9 Oct 2025
- 2025TaTToo: Tool-Grounded Thinking PRM for Test-Time Scaling in Tabular Reasoning7 Oct 2025
- 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Survey2 Oct 2025
- 2025Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner31 Jul 2025
- 2025CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoning21 Jul 2025
1 more
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 38
- 2026InT: Self-Proposed Interventions Enable Credit Assignment in LLM Reasoningcited by 14
- 2025Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learnercited by 11
- 2025Efficient PRM Training Data Synthesis via Formal Verificationcited by 8
- 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Surveycited by 8
- 2026What, Whether and How? Unveiling Process Reward Models for Thinking with Images Reasoningcited by 7
- 2025CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoningcited by 5
- 2025TaTToo: Tool-Grounded Thinking PRM for Test-Time Scaling in Tabular Reasoningcited by 5
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Toolscited by 1
- 2026Adapter Thickets: Splitting an RLVR Budget Beats Concentrating Itcited by 0
- 2026Adapter Thickets: Splitting an RLVR Budget Beats Concentrating It1 Oct 2026
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Tools17 Jun 2026
- 2026What, Whether and How? Unveiling Process Reward Models for Thinking with Images Reasoning9 Feb 2026
- 2026InT: Self-Proposed Interventions Enable Credit Assignment in LLM Reasoning20 Jan 2026
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Models9 Oct 2025
- 2025TaTToo: Tool-Grounded Thinking PRM for Test-Time Scaling in Tabular Reasoning7 Oct 2025
- 2025Enhancing Large Language Model Reasoning with Reward Models: An Analytical Survey2 Oct 2025
- 2025Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner31 Jul 2025
- 2025CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoning21 Jul 2025
- 2025Efficient PRM Training Data Synthesis via Formal Verification21 May 2025
- 2026Policy and World Modeling Co-Training for Language Agentscited by 15
Similar, not cited
Close in wording, no citation either way
- 2025R-PRM: Reasoning-Driven Process Reward Modeling
- 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning
- 2026LLM Reasoning with Process Rewards for Outcome-Guided Steps
- 2024On Designing Effective RL Reward at Training Time for LLM Reasoning
- 2023Let's Reinforce Step by Step
- 2026Reward Granularity in RLVR: Comparing Process and Outcome Reward Structures for Mathematical Reasoning in Small Language Models
- 2024Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning
- 2025Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective