Crystal: Introspective Reasoners Reinforced with Self-Feedback
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
- 2023Self-Refine: Iterative Refinement with Self-Feedback30 Mar
- 2022Large Language Models Can Self-Improve20 Oct
- 2022STaR: Bootstrapping Reasoning With Reasoning28 Mar
Other references · 43
- 2020Language Models are Few-Shot Learnerscited by 32,199
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- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
- 2020Learning to summarize from human feedbackcited by 2,562
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,114
- 2018CommonsenseQA: A Question Answering Challenge Targeting Commonsense Knowledgecited by 1,793
- 2017Crowdsourcing Multiple Choice Science Questionscited by 742
31 more
- 2020UnifiedQA: Crossing Format Boundaries With a Single QA Systemcited by 475
- 2016A Corpus and Evaluation Framework for Deeper Understanding of Commonsense Storiescited by 413
- 2023Fine-Grained Human Feedback Gives Better Rewards for Language Model Trainingcited by 399
- 2019Explain Yourself! Leveraging Language Models for Commonsense Reasoningcited by 367
- 2018SWAG: A Large-Scale Adversarial Dataset for Grounded Commonsense Inferencecited by 333
- 2022Large Language Models Are Reasoning Teacherscited by 318
- 2019Abductive Commonsense Reasoningcited by 300
- 2022Generate rather than Retrieve: Large Language Models are Strong Context Generatorscited by 296
- 2022Teaching Small Language Models to Reasoncited by 279
- 2023Specializing Smaller Language Models towards Multi-Step Reasoningcited by 249
- 2019QASC: A Dataset for Question Answering via Sentence Compositioncited by 248
- 2021Generated Knowledge Prompting for Commonsense Reasoningcited by 213
- 2020Unsupervised Commonsense Question Answering with Self-Talkcited by 161
- 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Stepcited by 144
- 2022Explanations from Large Language Models Make Small Reasoners Bettercited by 123
- 2020Birds have four legs?! NumerSense: Probing Numerical Commonsense Knowledge of Pre-trained Language Modelscited by 110
- 2023SCOTT: Self-Consistent Chain-of-Thought Distillationcited by 103
- 2021UNICORN on RAINBOW: A Universal Commonsense Reasoning Model on a New Multitask Benchmarkcited by 98
- 2023Guiding Large Language Models via Directional Stimulus Promptingcited by 94
- 2019QuaRTz: An Open-Domain Dataset of Qualitative Relationship Questionscited by 89
- 2022PINTO: Faithful Language Reasoning Using Prompt-Generated Rationalescited by 56
- 2021PROST: Physical Reasoning of Objects through Space and Timecited by 48
- 2018QuaRel: A Dataset and Models for Answering Questions about Qualitative Relationshipscited by 46
- 2021Prompting Contrastive Explanations for Commonsense Reasoning Taskscited by 45
- 2022Rainier: Reinforced Knowledge Introspector for Commonsense Question Answeringcited by 43
- 2020SemEval-2020 Task 4: Commonsense Validation and Explanationcited by 42
- 2021COM2SENSE: A Commonsense Reasoning Benchmark with Complementary Sentencescited by 40
- 2021General-Purpose Question-Answering with Macawcited by 40
- 2020Explaining Question Answering Models through Text Generationcited by 33
- 2021DREAM: Improving Situational QA by First Elaborating the Situationcited by 18
- 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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- 2025Compositional Generalization from Learned Skills via CoT Training: A Theoretical and Structural Analysis for Reasoning7 Feb 2025
- 2024Establishing Task Scaling Laws via Compute-Efficient Model Ladders5 Dec 2024
- 2024ZEBRA: Zero-Shot Example-Based Retrieval Augmentation for Commonsense Question Answering7 Oct 2024
- 2024Rationale-Aware Answer Verification by Pairwise Self-Evaluation7 Oct 2024
- 2024Unpacking DPO and PPO: Disentangling Best Practices for Learning from Preference Feedback13 Jun 2024
- 2024Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization23 May 2024
- 2024RaFe: Ranking Feedback Improves Query Rewriting for RAG23 May 2024
- 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learning1 May 2024
- 2024SELF-[IN]CORRECT: LLMs Struggle with Discriminating Self-Generated Responses4 Apr 2024
- 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speaking14 Mar 2024
3 more
- 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speakingcited by 292
- 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learningcited by 238
- 2024Making Reasoning Matter: Measuring and Improving Faithfulness of Chain-of-Thought Reasoningcited by 108
- 2024Unpacking DPO and PPO: Disentangling Best Practices for Learning from Preference Feedbackcited by 107
- 2024Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalizationcited by 78
- 2025Compositional Generalization from Learned Skills via CoT Training: A Theoretical and Structural Analysis for Reasoningcited by 10
- 2024ZEBRA: Zero-Shot Example-Based Retrieval Augmentation for Commonsense Question Answeringcited by 3
- 2026From Chains to DAGs: Probing the Graph Structure of Reasoning in LLMscited by 2
- 2024Rule or Story, Which is a Better Commonsense Expression for Talking with Large Language Models?cited by 1
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMscited by 1
- 2026From Chains to DAGs: Probing the Graph Structure of Reasoning in LLMs24 Jan 2026
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMs29 May 2025
- 2025Compositional Generalization from Learned Skills via CoT Training: A Theoretical and Structural Analysis for Reasoning7 Feb 2025
- 2024ZEBRA: Zero-Shot Example-Based Retrieval Augmentation for Commonsense Question Answering7 Oct 2024
- 2024Unpacking DPO and PPO: Disentangling Best Practices for Learning from Preference Feedback13 Jun 2024
- 2024Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization23 May 2024
- 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learning1 May 2024
- 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speaking14 Mar 2024
- 2024Rule or Story, Which is a Better Commonsense Expression for Talking with Large Language Models?22 Feb 2024
- 2024Making Reasoning Matter: Measuring and Improving Faithfulness of Chain-of-Thought Reasoning21 Feb 2024
- 2024RaFe: Ranking Feedback Improves Query Rewriting for RAGcited by 47
- 2024RaFe: Ranking Feedback Improves Query Rewriting for RAG23 May 2024
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