mlsanityData to 7 Oct 2026

Parason: Revealing Subtask and Trial Parallelism in LLM Reasoning

arXiv 2608.24658 ↗First posted 25 Aug 2026cs.AIcited by 0

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Scaling test-time reasoning has substantially improved the problem-solving ability of large language models (LLMs), but standard autoregressive decoding still executes long reasoning traces sequentially, creating severe latency for difficult tasks (up to days and weeks). Parallel reasoning offers a natural remedy. However, prior systems primarily focus on Subtask Parallelism, where the model learns to decompose a high-level task into smaller chunks that can be solved independently. This approach overlooks another pervasive form of parallelism: Trial Parallelism, where multiple speculative attempts explore, verify, and aggregate competing hypotheses in parallel. In this paper, we introduce Parason, which reveals and learns both forms of parallelism in LLM reasoning. Our analysis identifies Trial Parallelism as the majority of parallelizable reasoning computation (65.5% in DeepSeek-V4's reasoning steps in HLE), and it becomes increasingly dominant on hard problems. Guided by this taxonomy, Parason converts sequential reasoning traces into structured parallel trajectories with a context-free grammar, then trains models with Parallelism-Aware Group Relative Policy Optimization (PA-GRPO), whose reward jointly balances accuracy, latency, and the two parallelism ratios. At inference time, Parason executes the learned parallel structure through tool calls, translating theoretical savings to real-world wall-clock acceleration. Experiments on mathematical reasoning benchmarks including AIME24 and AIME25 show that Parason achieves an average acceleration about 1.7× while maintaining competitive accuracy.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 21 of its 41 references that are in the map. First posted on arXiv 25 Aug 2026.

Builds on

21 of 41 references.

Closest ancestors · 5

Same direction, newest first

  1. 2026PaCoRe: Learning to Scale Test-Time Compute with Parallel Coordinated Reasoning9 Jan
  2. 2025A Survey on Parallel Reasoning14 Oct
  3. 2025Parallel-R1: Towards Parallel Thinking via Reinforcement Learning9 Sep
  4. 2025Deep Think with Confidence21 Aug
  5. 2025Learning Adaptive Parallel Reasoning with Language Models21 Apr

Other references · 16

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2025Qwen3 Technical Reportcited by 8,195
  3. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  4. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  6. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
  7. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  8. 2024OpenAI o1 System Cardcited by 1,220
  9. 2023SGLang: Efficient Execution of Structured Language Model Programscited by 1,107
  10. 2023Graph of Thoughts: Solving Elaborate Problems with Large Language Modelscited by 873
  11. 2025Humanity's Last Examcited by 467
  12. 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
4 more
  1. 2024XGrammar: Flexible and Efficient Structured Generation Engine for Large Language Modelscited by 73
  2. 2025Towards Robust Mathematical Reasoningcited by 67
  3. 2025Multiverse: Your Language Models Secretly Decide How to Parallelize and Merge Generationcited by 30
  4. 2025Learning to Keep a Promise: Scaling Language Model Decoding Parallelism with Learned Asynchronous Decodingcited by 26

Built on by

Not cited yet.

Similar, not cited

Close in wording, no citation either way

  1. 2025ParaThinker: Native Parallel Thinking as a New Paradigm to Scale LLM Test-time Compute
  2. 2025ThreadWeaver: Adaptive Threading for Efficient Parallel Reasoning in Language Models
  3. 2026OpenDeepThink: Parallel Reasoning via Bradley-Terry Aggregation
  4. 2025First Finish Search: Efficient Test-Time Scaling in Large Language Models
  5. 2025Beyond Surface Reasoning: Unveiling the True Long Chain-of-Thought Capacity of Diffusion Large Language Models
  6. 2025The Sequential Edge: Inverse-Entropy Voting Beats Parallel Self-Consistency at Matched Compute
  7. 2025Reasoning on a Budget: A Survey of Adaptive and Controllable Test-Time Compute in LLMs
  8. 2025Hogwild! Inference: Parallel LLM Generation via Concurrent Attention