RCOT: Detecting and Rectifying Factual Inconsistency in Reasoning by Reversing Chain-of-Thought
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
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
- 2022OPT: Open Pre-trained Transformer Language Modelscited by 3,464
- 2021TAT-QA: A Question Answering Benchmark on a Hybrid of Tabular and Textual Content in Financecited by 402
- 2022Complexity-Based Prompting for Multi-Step Reasoningcited by 387
- 2016Solving General Arithmetic Word Problemscited by 353
- 2019Abductive Commonsense Reasoningcited by 300
- 2020ReClor: A Reading Comprehension Dataset Requiring Logical Reasoningcited by 211
Built on by
Citing papers per year: 2023: 10; 2024: 14; 2025: 14; 2026: 9.
47 papers.
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- 2023Unleashing the Emergent Cognitive Synergy in Large Language Models: A Task-Solving Agent through Multi-Persona Self-Collaborationcited by 246
- 2023Navigate through Enigmatic Labyrinth A Survey of Chain of Thought Reasoning: Advances, Frontiers and Futurecited by 184
- 2025An Illusion of Progress? Assessing the Current State of Web Agentscited by 165
- 2024Rethinking the Bounds of LLM Reasoning: Are Multi-Agent Discussions the Key?cited by 153
- 2025Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verificationcited by 49
- 2023Forward-Backward Reasoning in Large Language Models for Mathematical Verificationcited by 39
- 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoningcited by 32
- 2024Reverse Thinking Makes LLMs Stronger Reasonerscited by 29
- 2024Decoding the AI Pen: Techniques and Challenges in Detecting AI-Generated Textcited by 14
- 2024Improving Faithfulness of Large Language Models in Summarization via Sliding Generation and Self-Consistencycited by 14
- 2025Knowledge or Reasoning? A Close Look at How LLMs Think Across Domainscited by 14
- 2024Learning to Plan for Language Modeling from Unlabeled Datacited by 12
35 more
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- 2024Zero-resource Hallucination Detection for Text Generation via Graph-based Contextual Knowledge Triples Modelingcited by 9
- 2023Towards A Unified View of Answer Calibration for Multi-Step Reasoningcited by 8
- 2024Enhancing Robustness in Large Language Models: Prompting for Mitigating the Impact of Irrelevant Informationcited by 8
- 2023Enabling Language Models to Implicitly Learn Self-Improvementcited by 7
- 2024An Empirical Categorization of Prompting Techniques for Large Language Models: A Practitioner's Guidecited by 7
- 2025D-SMART: Enhancing LLM Dialogue Consistency via Dynamic Structured Memory And Reasoning Treecited by 7
- 2025Loki's Dance of Illusions: A Comprehensive Survey of Hallucination in Large Language Modelscited by 6
- 2023On the Discussion of Large Language Models: Symmetry of Agents and Interplay with Promptscited by 5
- 2024DCR: Divide-and-Conquer Reasoning for Multi-choice Question Answering with LLMscited by 5
- 2024Think Thrice Before You Act: Progressive Thought Refinement in Large Language Modelscited by 5
- 2023Parameter-Efficient Tuning Helps Language Model Alignmentcited by 4
- 2024Attribute Structuring Improves LLM-Based Evaluation of Clinical Text Summariescited by 4
- 2025Learning to Ponder: Adaptive Reasoning in Latent Spacecited by 4
- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agentscited by 4
- 2023Deductive Additivity for Planning of Natural Language Proofscited by 3
- 2025Has My System Prompt Been Used? Large Language Model Prompt Membership Inferencecited by 3
- 2023You Can Generate It Again: Data-to-Text Generation with Verification and Correction Promptingcited by 2
- 2026Inclusion-of-Thoughts: Mitigating Preference Instability via Purifying the Decision Spacecited by 2
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- 2025SOCIA-nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generationcited by 1
- 2025Misleading through Inconsistency: A Benchmark for Political Inconsistencies Detectioncited by 1
- 2025Reflective Confidence: Correcting Reasoning Flaws via Online Self-Correctioncited by 1
- 2026LLMs for Game Theory: Entropy-Guided In-Context Learning and Adaptive CoT Reasoningcited by 1
- 2025BAR: A Backward Reasoning based Agent for Complex Minecraft Taskscited by 0
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- 2026Risk-Controlled Selective LLM Answering by Pricing Label-Free Checks27 Sep 2026
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- 2026Deep Interaction: An Efficient Human-AI Interaction Method for Large Reasoning Models15 Jul 2026
- 2026Grad Detect: Gradient-Based Hallucination Detection in LLMs23 Jun 2026
- 2026DGPO: Beyond Pairwise Preferences with Directional Consistent Groupwise Optimization11 May 2026
- 2026Inclusion-of-Thoughts: Mitigating Preference Instability via Purifying the Decision Space15 Mar 2026
- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agents10 Feb 2026
- 2026LLMs for Game Theory: Entropy-Guided In-Context Learning and Adaptive CoT Reasoning15 Jan 2026
- 2026Boundary-Aware NL2SQL: Integrating Reliability through Hybrid Reward and Data Synthesis15 Jan 2026
- 2025Reflective Confidence: Correcting Reasoning Flaws via Online Self-Correction21 Dec 2025
- 2025SOCIA-Nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generation21 Oct 2025
- 2025D-SMART: Enhancing LLM Dialogue Consistency via Dynamic Structured Memory And Reasoning Tree15 Oct 2025
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- 2025Learning to Ponder: Adaptive Reasoning in Latent Space29 Sep 2025
- 2025Loki's Dance of Illusions: A Comprehensive Survey of Hallucination in Large Language Models6 Jun 2025
- 2025Knowledge or Reasoning? A Close Look at How LLMs Think Across Domains2 Jun 2025
- 2025Misleading through Inconsistency: A Benchmark for Political Inconsistencies Detection25 May 2025
- 2025BAR: A Backward Reasoning based Agent for Complex Minecraft Tasks20 May 2025
- 2025SOCIA-nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generation17 May 2025
- 2025An Illusion of Progress? Assessing the Current State of Web Agents2 Apr 2025
- 2025Has My System Prompt Been Used? Large Language Model Prompt Membership Inference14 Feb 2025
- 2025Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verification3 Feb 2025
- 2025Self-reflecting Large Language Models: A Hegelian Dialectical Approach24 Jan 2025
- 2024Reverse Thinking Makes LLMs Stronger Reasoners29 Nov 2024
- 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoning23 Oct 2024
- 2024Think Thrice Before You Act: Progressive Thought Refinement in Large Language Models17 Oct 2024
- 2024Zero-resource Hallucination Detection for Text Generation via Graph-based Contextual Knowledge Triples Modeling17 Sep 2024
- 2024SQLucid: Grounding Natural Language Database Queries with Interactive Explanations10 Sep 2024
- 2024Enhancing Robustness in Large Language Models: Prompting for Mitigating the Impact of Irrelevant Information20 Aug 2024
- 2024Improving Faithfulness of Large Language Models in Summarization via Sliding Generation and Self-Consistency31 Jul 2024
- 2024Learning to Plan for Language Modeling from Unlabeled Data31 Mar 2024
- 2024Agentic AI: The Era of Semantic Decoding21 Mar 2024
- 2024Decoding the AI Pen: Techniques and Challenges in Detecting AI-Generated Text9 Mar 2024
- 2024Attribute Structuring Improves LLM-Based Evaluation of Clinical Text Summaries1 Mar 2024
- 2024Rethinking the Bounds of LLM Reasoning: Are Multi-Agent Discussions the Key?28 Feb 2024
- 2024An Empirical Categorization of Prompting Techniques for Large Language Models: A Practitioner's Guide18 Feb 2024
- 2024DCR: Divide-and-Conquer Reasoning for Multi-choice Question Answering with LLMs10 Jan 2024
- 2023Towards A Unified View of Answer Calibration for Multi-Step Reasoning15 Nov 2023
- 2023On the Discussion of Large Language Models: Symmetry of Agents and Interplay with Prompts13 Nov 2023
- 2023Enabling Language Models to Implicitly Learn Self-Improvement2 Oct 2023
- 2023Parameter-Efficient Tuning Helps Language Model Alignment1 Oct 2023
- 2023AutoHall: Automated Factuality Hallucination Dataset Generation for Large Language Models30 Sep 2023
- 2023Navigate through Enigmatic Labyrinth A Survey of Chain of Thought Reasoning: Advances, Frontiers and Future27 Sep 2023
- 2023Forward-Backward Reasoning in Large Language Models for Mathematical Verification15 Aug 2023
- 2023Unleashing the Emergent Cognitive Synergy in Large Language Models: A Task-Solving Agent through Multi-Persona Self-Collaboration11 Jul 2023
- 2023Deductive Additivity for Planning of Natural Language Proofs5 Jul 2023
- 2023You Can Generate It Again: Data-to-Text Generation with Verification and Correction Prompting28 Jun 2023
- 2023Navigate through Enigmatic Labyrinth A Survey of Chain of Thought Reasoning: Advances, Frontiers and Futurecited by 184
- 2024Rethinking the Bounds of LLM Reasoning: Are Multi-Agent Discussions the Key?cited by 153
- 2025Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verificationcited by 49
- 2023Forward-Backward Reasoning in Large Language Models for Mathematical Verificationcited by 39
- 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoningcited by 32
- 2024Reverse Thinking Makes LLMs Stronger Reasonerscited by 29
- 2024Improving Faithfulness of Large Language Models in Summarization via Sliding Generation and Self-Consistencycited by 14
- 2025Knowledge or Reasoning? A Close Look at How LLMs Think Across Domainscited by 14
- 2023Towards A Unified View of Answer Calibration for Multi-Step Reasoningcited by 8
- 2025D-SMART: Enhancing LLM Dialogue Consistency via Dynamic Structured Memory And Reasoning Treecited by 7
- 2023On the Discussion of Large Language Models: Symmetry of Agents and Interplay with Promptscited by 5
- 2024DCR: Divide-and-Conquer Reasoning for Multi-choice Question Answering with LLMscited by 5
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- 2026Deep Interaction: An Efficient Human-AI Interaction Method for Large Reasoning Models15 Jul 2026
- 2026Inclusion-of-Thoughts: Mitigating Preference Instability via Purifying the Decision Space15 Mar 2026
- 2026LLMs for Game Theory: Entropy-Guided In-Context Learning and Adaptive CoT Reasoning15 Jan 2026
- 2025Reflective Confidence: Correcting Reasoning Flaws via Online Self-Correction21 Dec 2025
- 2025D-SMART: Enhancing LLM Dialogue Consistency via Dynamic Structured Memory And Reasoning Tree15 Oct 2025
- 2025Hallucination Detection via Internal States and Structured Reasoning Consistency in Large Language Models13 Oct 2025
- 2025Learning to Ponder: Adaptive Reasoning in Latent Space29 Sep 2025
- 2025Knowledge or Reasoning? A Close Look at How LLMs Think Across Domains2 Jun 2025
- 2025BAR: A Backward Reasoning based Agent for Complex Minecraft Tasks20 May 2025
- 2025Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verification3 Feb 2025
- 2024Reverse Thinking Makes LLMs Stronger Reasoners29 Nov 2024
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- 2023Unleashing the Emergent Cognitive Synergy in Large Language Models: A Task-Solving Agent through Multi-Persona Self-Collaborationcited by 246
- 2025An Illusion of Progress? Assessing the Current State of Web Agentscited by 165
- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agentscited by 4
- 2024Agentic AI: The Era of Semantic Decodingcited by 1
- 2025SOCIA-nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generationcited by 1
- 2025SOCIA-Nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generationcited by 0
- 2026Autonomous Continual Learning for Environment Adaptation of Computer-Use Agents10 Feb 2026
- 2025SOCIA-Nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generation21 Oct 2025
- 2025SOCIA-nabla: Textual Gradient Meets Multi-Agent Orchestration for Automated Simulator Generation17 May 2025
- 2025An Illusion of Progress? Assessing the Current State of Web Agents2 Apr 2025
- 2024Agentic AI: The Era of Semantic Decoding21 Mar 2024
- 2023Unleashing the Emergent Cognitive Synergy in Large Language Models: A Task-Solving Agent through Multi-Persona Self-Collaboration11 Jul 2023
- 2024Decoding the AI Pen: Techniques and Challenges in Detecting AI-Generated Textcited by 14
- 2024Learning to Plan for Language Modeling from Unlabeled Datacited by 12
- 2023AutoHall: Automated Factuality Hallucination Dataset Generation for Large Language Modelscited by 10
- 2024SQLucid: Grounding Natural Language Database Queries with Interactive Explanationscited by 10
- 2024Zero-resource Hallucination Detection for Text Generation via Graph-based Contextual Knowledge Triples Modelingcited by 9
- 2024Enhancing Robustness in Large Language Models: Prompting for Mitigating the Impact of Irrelevant Informationcited by 8
- 2024An Empirical Categorization of Prompting Techniques for Large Language Models: A Practitioner's Guidecited by 7
- 2025Loki's Dance of Illusions: A Comprehensive Survey of Hallucination in Large Language Modelscited by 6
- 2024Attribute Structuring Improves LLM-Based Evaluation of Clinical Text Summariescited by 4
- 2023Deductive Additivity for Planning of Natural Language Proofscited by 3
- 2023You Can Generate It Again: Data-to-Text Generation with Verification and Correction Promptingcited by 2
- 2025Self-reflecting Large Language Models: A Hegelian Dialectical Approachcited by 1
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- 2026Risk-Controlled Selective LLM Answering by Pricing Label-Free Checks27 Sep 2026
- 2026Grad Detect: Gradient-Based Hallucination Detection in LLMs23 Jun 2026
- 2025Loki's Dance of Illusions: A Comprehensive Survey of Hallucination in Large Language Models6 Jun 2025
- 2025Misleading through Inconsistency: A Benchmark for Political Inconsistencies Detection25 May 2025
- 2025Self-reflecting Large Language Models: A Hegelian Dialectical Approach24 Jan 2025
- 2024Zero-resource Hallucination Detection for Text Generation via Graph-based Contextual Knowledge Triples Modeling17 Sep 2024
- 2024SQLucid: Grounding Natural Language Database Queries with Interactive Explanations10 Sep 2024
- 2024Enhancing Robustness in Large Language Models: Prompting for Mitigating the Impact of Irrelevant Information20 Aug 2024
- 2024Learning to Plan for Language Modeling from Unlabeled Data31 Mar 2024
- 2024Decoding the AI Pen: Techniques and Challenges in Detecting AI-Generated Text9 Mar 2024
- 2024Attribute Structuring Improves LLM-Based Evaluation of Clinical Text Summaries1 Mar 2024
- 2024An Empirical Categorization of Prompting Techniques for Large Language Models: A Practitioner's Guide18 Feb 2024
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