mlsanityData to 7 Oct 2026

Crystal: Introspective Reasoners Reinforced with Self-Feedback

arXiv 2310.04921 ↗First posted 7 Oct 2023cs.AI cs.CL cs.LGcited by 15

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

Abstract (arXiv)

Extensive work has shown that the performance and interpretability of commonsense reasoning can be improved via knowledge-augmented reasoning methods, where the knowledge that underpins the reasoning process is explicitly verbalized and utilized. However, existing implementations, including "chain-of-thought" and its variants, fall short in capturing the introspective nature of knowledge required in commonsense reasoning, and in accounting for the mutual adaptation between the generation and utilization of knowledge. We propose a novel method to develop an introspective commonsense reasoner, Crystal. To tackle commonsense problems, it first introspects for knowledge statements related to the given question, and subsequently makes an informed prediction that is grounded in the previously introspected knowledge. The knowledge introspection and knowledge-grounded reasoning modes of the model are tuned via reinforcement learning to mutually adapt, where the reward derives from the feedback given by the model itself. Experiments show that Crystal significantly outperforms both the standard supervised finetuning and chain-of-thought distilled methods, and enhances the transparency of the commonsense reasoning process. Our work ultimately validates the feasibility and potential of reinforcing a neural model with self-feedback.

Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 46 of its 61 references that are in the map. First posted on arXiv 7 Oct 2023.

Builds on

46 of 61 references.

Closest ancestors · 3

Same direction, newest first

  1. 2023Self-Refine: Iterative Refinement with Self-Feedback30 Mar
  2. 2022Large Language Models Can Self-Improve20 Oct
  3. 2022STaR: Bootstrapping Reasoning With Reasoning28 Mar

Other references · 43

  1. 2020Language Models are Few-Shot Learnerscited by 32,199
  2. 2022Training language models to follow instructions with human feedbackcited by 15,712
  3. 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
  4. 2017Proximal Policy Optimization Algorithmscited by 14,441
  5. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  6. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  7. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
  8. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
  9. 2020Learning to summarize from human feedbackcited by 2,562
  10. 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,114
  11. 2018CommonsenseQA: A Question Answering Challenge Targeting Commonsense Knowledgecited by 1,793
  12. 2017Crowdsourcing Multiple Choice Science Questionscited by 742
31 more
  1. 2020UnifiedQA: Crossing Format Boundaries With a Single QA Systemcited by 475
  2. 2016A Corpus and Evaluation Framework for Deeper Understanding of Commonsense Storiescited by 413
  3. 2023Fine-Grained Human Feedback Gives Better Rewards for Language Model Trainingcited by 399
  4. 2019Explain Yourself! Leveraging Language Models for Commonsense Reasoningcited by 367
  5. 2018SWAG: A Large-Scale Adversarial Dataset for Grounded Commonsense Inferencecited by 333
  6. 2022Large Language Models Are Reasoning Teacherscited by 318
  7. 2019Abductive Commonsense Reasoningcited by 300
  8. 2022Generate rather than Retrieve: Large Language Models are Strong Context Generatorscited by 296
  9. 2022Teaching Small Language Models to Reasoncited by 279
  10. 2023Specializing Smaller Language Models towards Multi-Step Reasoningcited by 249
  11. 2019QASC: A Dataset for Question Answering via Sentence Compositioncited by 248
  12. 2021Generated Knowledge Prompting for Commonsense Reasoningcited by 213
  13. 2020Unsupervised Commonsense Question Answering with Self-Talkcited by 161
  14. 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Stepcited by 144
  15. 2022Explanations from Large Language Models Make Small Reasoners Bettercited by 123
  16. 2020Birds have four legs?! NumerSense: Probing Numerical Commonsense Knowledge of Pre-trained Language Modelscited by 110
  17. 2023SCOTT: Self-Consistent Chain-of-Thought Distillationcited by 103
  18. 2021UNICORN on RAINBOW: A Universal Commonsense Reasoning Model on a New Multitask Benchmarkcited by 98
  19. 2023Guiding Large Language Models via Directional Stimulus Promptingcited by 94
  20. 2019QuaRTz: An Open-Domain Dataset of Qualitative Relationship Questionscited by 89
  21. 2022PINTO: Faithful Language Reasoning Using Prompt-Generated Rationalescited by 56
  22. 2021PROST: Physical Reasoning of Objects through Space and Timecited by 48
  23. 2018QuaRel: A Dataset and Models for Answering Questions about Qualitative Relationshipscited by 46
  24. 2021Prompting Contrastive Explanations for Commonsense Reasoning Taskscited by 45
  25. 2022Rainier: Reinforced Knowledge Introspector for Commonsense Question Answeringcited by 43
  26. 2020SemEval-2020 Task 4: Commonsense Validation and Explanationcited by 42
  27. 2021COM2SENSE: A Commonsense Reasoning Benchmark with Complementary Sentencescited by 40
  28. 2021General-Purpose Question-Answering with Macawcited by 40
  29. 2020Explaining Question Answering Models through Text Generationcited by 33
  30. 2021DREAM: Improving Situational QA by First Elaborating the Situationcited by 18
  31. 2022Elaboration-Generating Commonsense Question Answering at Scalecited by 9

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Citing papers per year: 2024: 12; 2025: 2; 2026: 1.

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  1. 2025OpenSIR: Open-Ended Self-Improving Reasoner
  2. 2025Verifying Meta-Awareness via Predictive Rewards in Reasoning Models
  3. 2026SARL: Label-Free Reinforcement Learning by Rewarding Reasoning Topology
  4. 2024Beyond Introspection: Reinforcing Thinking via Externalist Behavioral Feedback
  5. 2024RL-STaR: Theoretical Analysis of Reinforcement Learning Frameworks for Self-Taught Reasoner
  6. 2024B-STaR: Monitoring and Balancing Exploration and Exploitation in Self-Taught Reasoners
  7. 2025Learning to Reason via Mixture-of-Thought for Logical Reasoning
  8. 2025Can One Domain Help Others? A Data-Centric Study on Multi-Domain Reasoning via Reinforcement Learning