mlsanityData to 7 Oct 2026

RCOT: Detecting and Rectifying Factual Inconsistency in Reasoning by Reversing Chain-of-Thought

arXiv 2305.11499 ↗First posted 19 May 2023cs.CLcited by 47

On the map: LLM reasoning → Mathematical reasoning

Abstract (arXiv)

Large language Models (LLMs) have achieved promising performance on arithmetic reasoning tasks by incorporating step-by-step chain-of-thought (CoT) prompting. However, LLMs face challenges in maintaining factual consistency during reasoning, exhibiting tendencies to condition overlooking, question misinterpretation, and condition hallucination over given problems. Existing methods use coarse-grained feedback (e.g., whether the answer is correct) to improve factual consistency. In this work, we propose RCoT (Reversing Chain-of-Thought), a novel method to improve LLMs' reasoning abilities by automatically detecting and rectifying factual inconsistency in LLMs, generated solutions. To detect factual inconsistency, RCoT first asks LLMs to reconstruct the problem based on generated solutions. Then fine-grained comparisons between the original problem and the reconstructed problem expose the factual inconsistency in the original solutions. To rectify the solution, RCoT formulates detected factual inconsistency into fine-grained feedback to guide LLMs in revising solutions. Experimental results demonstrate improvements of RCoT over standard CoT, Self-Consistency and Self-Refine across seven arithmetic datasets. Moreover, we find that manually written fine-grained feedback can dramatically improve LLMs' reasoning abilities (e.g., ChatGPT reaches 94.6% accuracy on GSM8K), encouraging the community to further explore the fine-grained feedback generation methods.

Key facts. Cited by 47 papers in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 8 of its 48 references that are in the map. First posted on arXiv 19 May 2023.

Builds on

8 of 48 references.

References · 8

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
  3. 2022OPT: Open Pre-trained Transformer Language Modelscited by 3,464
  4. 2021TAT-QA: A Question Answering Benchmark on a Hybrid of Tabular and Textual Content in Financecited by 402
  5. 2022Complexity-Based Prompting for Multi-Step Reasoningcited by 387
  6. 2016Solving General Arithmetic Word Problemscited by 353
  7. 2019Abductive Commonsense Reasoningcited by 300
  8. 2020ReClor: A Reading Comprehension Dataset Requiring Logical Reasoningcited by 211

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 10; 2024: 14; 2025: 14; 2026: 9.

47 papers.

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  1. 2023Unleashing the Emergent Cognitive Synergy in Large Language Models: A Task-Solving Agent through Multi-Persona Self-Collaborationcited by 246
  2. 2023Navigate through Enigmatic Labyrinth A Survey of Chain of Thought Reasoning: Advances, Frontiers and Futurecited by 184
  3. 2025An Illusion of Progress? Assessing the Current State of Web Agentscited by 165
  4. 2024Rethinking the Bounds of LLM Reasoning: Are Multi-Agent Discussions the Key?cited by 153
  5. 2025Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verificationcited by 49
  6. 2023Forward-Backward Reasoning in Large Language Models for Mathematical Verificationcited by 39
  7. 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoningcited by 32
  8. 2024Reverse Thinking Makes LLMs Stronger Reasonerscited by 29
  9. 2024Decoding the AI Pen: Techniques and Challenges in Detecting AI-Generated Textcited by 14
  10. 2024Improving Faithfulness of Large Language Models in Summarization via Sliding Generation and Self-Consistencycited by 14
  11. 2025Knowledge or Reasoning? A Close Look at How LLMs Think Across Domainscited by 14
  12. 2024Learning to Plan for Language Modeling from Unlabeled Datacited by 12
35 more
  1. 2023AutoHall: Automated Factuality Hallucination Dataset Generation for Large Language Modelscited by 10
  2. 2024SQLucid: Grounding Natural Language Database Queries with Interactive Explanationscited by 10
  3. 2024Zero-resource Hallucination Detection for Text Generation via Graph-based Contextual Knowledge Triples Modelingcited by 9
  4. 2023Towards A Unified View of Answer Calibration for Multi-Step Reasoningcited by 8
  5. 2024Enhancing Robustness in Large Language Models: Prompting for Mitigating the Impact of Irrelevant Informationcited by 8
  6. 2023Enabling Language Models to Implicitly Learn Self-Improvementcited by 7
  7. 2024An Empirical Categorization of Prompting Techniques for Large Language Models: A Practitioner's Guidecited by 7
  8. 2025D-SMART: Enhancing LLM Dialogue Consistency via Dynamic Structured Memory And Reasoning Treecited by 7
  9. 2025Loki's Dance of Illusions: A Comprehensive Survey of Hallucination in Large Language Modelscited by 6
  10. 2023On the Discussion of Large Language Models: Symmetry of Agents and Interplay with Promptscited by 5
  11. 2024DCR: Divide-and-Conquer Reasoning for Multi-choice Question Answering with LLMscited by 5
  12. 2024Think Thrice Before You Act: Progressive Thought Refinement in Large Language Modelscited by 5
  13. 2023Parameter-Efficient Tuning Helps Language Model Alignmentcited by 4
  14. 2024Attribute Structuring Improves LLM-Based Evaluation of Clinical Text Summariescited by 4
  15. 2025Learning to Ponder: Adaptive Reasoning in Latent Spacecited by 4
  16. 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agentscited by 4
  17. 2023Deductive Additivity for Planning of Natural Language Proofscited by 3
  18. 2025Has My System Prompt Been Used? Large Language Model Prompt Membership Inferencecited by 3
  19. 2023You Can Generate It Again: Data-to-Text Generation with Verification and Correction Promptingcited by 2
  20. 2026Inclusion-of-Thoughts: Mitigating Preference Instability via Purifying the Decision Spacecited by 2
  21. 2024Agentic AI: The Era of Semantic Decodingcited by 1
  22. 2025Self-reflecting Large Language Models: A Hegelian Dialectical Approachcited by 1
  23. 2025SOCIA-nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generationcited by 1
  24. 2025Misleading through Inconsistency: A Benchmark for Political Inconsistencies Detectioncited by 1
  25. 2025Reflective Confidence: Correcting Reasoning Flaws via Online Self-Correctioncited by 1
  26. 2026LLMs for Game Theory: Entropy-Guided In-Context Learning and Adaptive CoT Reasoningcited by 1
  27. 2025BAR: A Backward Reasoning based Agent for Complex Minecraft Taskscited by 0
  28. 2025Hallucination Detection via Internal States and Structured Reasoning Consistency in Large Language Modelscited by 0
  29. 2025SOCIA-Nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generationcited by 0
  30. 2026Boundary-Aware NL2SQL: Integrating Reliability through Hybrid Reward and Data Synthesiscited by 0
  31. 2026DGPO: Beyond Pairwise Preferences with Directional Consistent Groupwise Optimizationcited by 0
  32. 2026Grad Detect: Gradient-Based Hallucination Detection in LLMscited by 0
  33. 2026Deep Interaction: An Efficient Human-AI Interaction Method for Large Reasoning Modelscited by 0
  34. 2026Construting Reverse Thinking: Developing Large Language Models' Reverse Thingking Abilitycited by 0
  35. 2026Risk-Controlled Selective LLM Answering by Pricing Label-Free Checkscited by 0

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  1. 2025Can Large Reasoning Models Improve Accuracy on Mathematical Tasks Using Flawed Thinking?
  2. 2026Fragile Thoughts: How Large Language Models Handle Chain-of-Thought Perturbations
  3. 2026A Reference-Free Score for Detecting Silent Reasoning Failures in Large Language Models
  4. 2025Reasoning Relay: Evaluating Stability and Interchangeability of Large Language Models in Mathematical Reasoning
  5. 2025FINEREASON: Evaluating and Improving LLMs' Deliberate Reasoning through Reflective Puzzle Solving
  6. 2026Does Inference Scaling Improve Reasoning Faithfulness? A Multi-Model Analysis of Self-Consistency Tradeoffs
  7. 2025Premise-Augmented Reasoning Chains Improve Error Identification in Math reasoning with LLMs
  8. 2025Catch Me If You Can: How Smaller Reasoning Models Pretend to Reason with Mathematical Fidelity