mCoT: Multilingual Instruction Tuning for Reasoning Consistency in Language Models
On the map: LLM reasoning → Mathematical reasoning
Abstract (arXiv)
Large language models (LLMs) with Chain-of-thought (CoT) have recently emerged as a powerful technique for eliciting reasoning to improve various downstream tasks. As most research mainly focuses on English, with few explorations in a multilingual context, the question of how reliable this reasoning capability is in different languages is still open. To address it directly, we study multilingual reasoning consistency across multiple languages, using popular open-source LLMs. First, we compile the first large-scale multilingual math reasoning dataset, mCoT-MATH, covering eleven diverse languages. Then, we introduce multilingual CoT instruction tuning to boost reasoning capability across languages, thereby improving model consistency. While existing LLMs show substantial variation across the languages we consider, and especially low performance for lesser resourced languages, our 7B parameter model mCoT achieves impressive consistency across languages, and superior or comparable performance to close- and open-source models even of much larger sizes.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 14 of its 47 references that are in the map. First posted on arXiv 4 Jun 2024.
Builds on
14 of 47 references.
Closest ancestors · 2
Same direction, newest first
- 2023Breaking Language Barriers in Multilingual Mathematical Reasoning: Insights and Observations31 Oct
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct18 Aug
Other references · 12
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- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
- 2023Qwen Technical Reportcited by 3,273
- 2023Mistral 7Bcited by 3,065
- 2023PaLM 2 Technical Reportcited by 1,154
- 2022Solving math word problems with process- and outcome-based feedbackcited by 871
- 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 724
- 2023Progressive-Hint Prompting Improves Reasoning in Large Language Modelscited by 147
- 2023Contrastive Decoding Improves Reasoning in Large Language Modelscited by 71
- 2024xCoT: Cross-lingual Instruction Tuning for Cross-lingual Chain-of-Thought Reasoningcited by 46
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Citing papers per year: 2024: 3; 2025: 19; 2026: 9.
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- 2025Linguistic Generalizability of Test-Time Scaling in Mathematical Reasoningcited by 33
- 2025A Survey of Multilingual Reasoning in Language Modelscited by 31
- 2025100 Days After DeepSeek-R1: A Survey on Replication Studies and More Directions for Reasoning Language Modelscited by 29
- 2025The Emergence of Abstract Thought in Large Language Models Beyond Any Languagecited by 20
- 2025SLAM: Towards Efficient Multilingual Reasoning via Selective Language Alignmentcited by 17
- 2025AdaMCoT: Rethinking Cross-Lingual Factual Reasoning through Adaptive Multilingual Chain-of-Thoughtcited by 14
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thoughtcited by 10
- 2025Merge to Mix: Mixing Datasets via Model Mergingcited by 7
- 2025Unlocking Multilingual Reasoning Capability of LLMs and LVLMs through Representation Engineeringcited by 7
- 2025Towards Better Understanding of Program-of-Thought Reasoning in Cross-Lingual and Multilingual Environmentscited by 6
- 2025Multidimensional Consistency Improves Reasoning in Language Modelscited by 6
- 2025A Post-trainer's Guide to Multilingual Training Data: Uncovering Cross-lingual Transfer Dynamicscited by 6
19 more
- 2025From KMMLU-Redux to KMMLU-Pro: A Professional Korean Benchmark Suite for LLM Evaluationcited by 6
- 2026GanitLLM: Difficulty-Aware Bengali Mathematical Reasoning through Curriculum-GRPOcited by 6
- 2024Lens: Rethinking Multilingual Enhancement for Large Language Modelscited by 5
- 2024Is It Good Data for Multilingual Instruction Tuning or Just Bad Multilingual Evaluation for Large Language Models?cited by 4
- 2025Making, not Taking, the Best of Ncited by 4
- 2025Beg to Differ: Understanding Reasoning-Answer Misalignment Across Languagescited by 4
- 2024Qwen2.5-32B: Leveraging Self-Consistent Tool-Integrated Reasoning for Bengali Mathematical Olympiad Problem Solvingcited by 3
- 2025TIBSTC-CoT: A Multi-Domain Instruction Dataset for Chain-of-Thought Reasoning in Language Modelscited by 3
- 2025The Disparate Impacts of Speculative Decodingcited by 2
- 2026Efficient Multilingual Reasoning Transfer via Progressive Code-Switchingcited by 2
- 2025Do LLMs Need to Think in One Language? Correlation between Latent Language and Task Performancecited by 1
- 2025CoT4Det: A Chain-of-Thought Framework for Perception-Oriented Vision-Language Taskscited by 1
- 2026No One Fits All: From Fixed Prompting to Learned Routing in Multilingual LLMscited by 1
- 2026Is continuous CoT better suited for multi-lingual reasoning?cited by 0
- 2026English is Not All You Need: Systematically Exploring the Role of Multilinguality in LLM Post-Trainingcited by 0
- 2026The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modescited by 0
- 2026IKS-Instruct: A 24,000-Example Multilingual Dataset for Teaching Language Models Indian Knowledge Systemscited by 0
- 2026GRPO Beyond English: A Large-Scale Study of GRPO in Non-English and Multilingual Settingscited by 0
- 2026Building Multilingual Bridges: Data Mixing as the Pillar of Generalization for In-Language Reasoningcited by 0
- 2026Building Multilingual Bridges: Data Mixing as the Pillar of Generalization for In-Language Reasoning9 Sep 2026
- 2026GRPO Beyond English: A Large-Scale Study of GRPO in Non-English and Multilingual Settings13 Aug 2026
- 2026IKS-Instruct: A 24,000-Example Multilingual Dataset for Teaching Language Models Indian Knowledge Systems25 Jul 2026
- 2026Efficient Multilingual Reasoning Transfer via Progressive Code-Switching1 Jul 2026
- 2026The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes9 Jun 2026
- 2026No One Fits All: From Fixed Prompting to Learned Routing in Multilingual LLMs18 Apr 2026
- 2026English is Not All You Need: Systematically Exploring the Role of Multilinguality in LLM Post-Training14 Apr 2026
- 2026Is continuous CoT better suited for multi-lingual reasoning?9 Mar 2026
- 2026GanitLLM: Difficulty-Aware Bengali Mathematical Reasoning through Curriculum-GRPO11 Jan 2026
- 2025Beg to Differ: Understanding Reasoning-Answer Misalignment Across Languages27 Dec 2025
- 2025CoT4Det: A Chain-of-Thought Framework for Perception-Oriented Vision-Language Tasks7 Dec 2025
- 2025Unlocking Multilingual Reasoning Capability of LLMs and LVLMs through Representation Engineering28 Nov 2025
19 more
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thought5 Oct 2025
- 2025The Disparate Impacts of Speculative Decoding2 Oct 2025
- 2025Making, not Taking, the Best of N1 Oct 2025
- 2025TIBSTC-CoT: A Multi-Domain Instruction Dataset for Chain-of-Thought Reasoning in Language Models4 Aug 2025
- 2025From KMMLU-Redux to KMMLU-Pro: A Professional Korean Benchmark Suite for LLM Evaluation11 Jul 2025
- 2025The Emergence of Abstract Thought in Large Language Models Beyond Any Language11 Jun 2025
- 2025Do LLMs Need to Think in One Language? Correlation between Latent Language and Task Performance27 May 2025
- 2025Merge to Mix: Mixing Datasets via Model Merging21 May 2025
- 2025100 Days After DeepSeek-R1: A Survey on Replication Studies and More Directions for Reasoning Language Models1 May 2025
- 2025A Post-trainer's Guide to Multilingual Training Data: Uncovering Cross-lingual Transfer Dynamics23 Apr 2025
- 2025Multidimensional Consistency Improves Reasoning in Language Models4 Mar 2025
- 2025Towards Better Understanding of Program-of-Thought Reasoning in Cross-Lingual and Multilingual Environments25 Feb 2025
- 2025Linguistic Generalizability of Test-Time Scaling in Mathematical Reasoning24 Feb 2025
- 2025A Survey of Multilingual Reasoning in Language Models13 Feb 2025
- 2025AdaMCoT: Rethinking Cross-Lingual Factual Reasoning through Adaptive Multilingual Chain-of-Thought27 Jan 2025
- 2025SLAM: Towards Efficient Multilingual Reasoning via Selective Language Alignment7 Jan 2025
- 2024Qwen2.5-32B: Leveraging Self-Consistent Tool-Integrated Reasoning for Bengali Mathematical Olympiad Problem Solving8 Nov 2024
- 2024Lens: Rethinking Multilingual Enhancement for Large Language Models6 Oct 2024
- 2024Is It Good Data for Multilingual Instruction Tuning or Just Bad Multilingual Evaluation for Large Language Models?18 Jun 2024
- 2025Linguistic Generalizability of Test-Time Scaling in Mathematical Reasoningcited by 33
- 2025A Survey of Multilingual Reasoning in Language Modelscited by 31
- 2025100 Days After DeepSeek-R1: A Survey on Replication Studies and More Directions for Reasoning Language Modelscited by 29
- 2025The Emergence of Abstract Thought in Large Language Models Beyond Any Languagecited by 20
- 2025SLAM: Towards Efficient Multilingual Reasoning via Selective Language Alignmentcited by 17
- 2025AdaMCoT: Rethinking Cross-Lingual Factual Reasoning through Adaptive Multilingual Chain-of-Thoughtcited by 14
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thoughtcited by 10
- 2025Unlocking Multilingual Reasoning Capability of LLMs and LVLMs through Representation Engineeringcited by 7
- 2025Towards Better Understanding of Program-of-Thought Reasoning in Cross-Lingual and Multilingual Environmentscited by 6
- 2025Multidimensional Consistency Improves Reasoning in Language Modelscited by 6
- 2026GanitLLM: Difficulty-Aware Bengali Mathematical Reasoning through Curriculum-GRPOcited by 6
- 2024Lens: Rethinking Multilingual Enhancement for Large Language Modelscited by 5
12 most cited of 20 All 20 (JSON)
- 2026Building Multilingual Bridges: Data Mixing as the Pillar of Generalization for In-Language Reasoning9 Sep 2026
- 2026GRPO Beyond English: A Large-Scale Study of GRPO in Non-English and Multilingual Settings13 Aug 2026
- 2026Efficient Multilingual Reasoning Transfer via Progressive Code-Switching1 Jul 2026
- 2026The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes9 Jun 2026
- 2026GanitLLM: Difficulty-Aware Bengali Mathematical Reasoning through Curriculum-GRPO11 Jan 2026
- 2025Beg to Differ: Understanding Reasoning-Answer Misalignment Across Languages27 Dec 2025
- 2025CoT4Det: A Chain-of-Thought Framework for Perception-Oriented Vision-Language Tasks7 Dec 2025
- 2025Unlocking Multilingual Reasoning Capability of LLMs and LVLMs through Representation Engineering28 Nov 2025
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thought5 Oct 2025
- 2025TIBSTC-CoT: A Multi-Domain Instruction Dataset for Chain-of-Thought Reasoning in Language Models4 Aug 2025
- 2025The Emergence of Abstract Thought in Large Language Models Beyond Any Language11 Jun 2025
- 2025Do LLMs Need to Think in One Language? Correlation between Latent Language and Task Performance27 May 2025
12 newest of 20 All 20 (JSON)
- 2025The Disparate Impacts of Speculative Decodingcited by 2
- 2025The Disparate Impacts of Speculative Decoding2 Oct 2025
- 2025Merge to Mix: Mixing Datasets via Model Mergingcited by 7
- 2025A Post-trainer's Guide to Multilingual Training Data: Uncovering Cross-lingual Transfer Dynamicscited by 6
- 2025From KMMLU-Redux to KMMLU-Pro: A Professional Korean Benchmark Suite for LLM Evaluationcited by 6
- 2024Is It Good Data for Multilingual Instruction Tuning or Just Bad Multilingual Evaluation for Large Language Models?cited by 4
- 2025Making, not Taking, the Best of Ncited by 4
- 2026No One Fits All: From Fixed Prompting to Learned Routing in Multilingual LLMscited by 1
- 2026Is continuous CoT better suited for multi-lingual reasoning?cited by 0
- 2026English is Not All You Need: Systematically Exploring the Role of Multilinguality in LLM Post-Trainingcited by 0
- 2026IKS-Instruct: A 24,000-Example Multilingual Dataset for Teaching Language Models Indian Knowledge Systemscited by 0
- 2026IKS-Instruct: A 24,000-Example Multilingual Dataset for Teaching Language Models Indian Knowledge Systems25 Jul 2026
- 2026No One Fits All: From Fixed Prompting to Learned Routing in Multilingual LLMs18 Apr 2026
- 2026English is Not All You Need: Systematically Exploring the Role of Multilinguality in LLM Post-Training14 Apr 2026
- 2026Is continuous CoT better suited for multi-lingual reasoning?9 Mar 2026
- 2025Making, not Taking, the Best of N1 Oct 2025
- 2025From KMMLU-Redux to KMMLU-Pro: A Professional Korean Benchmark Suite for LLM Evaluation11 Jul 2025
- 2025Merge to Mix: Mixing Datasets via Model Merging21 May 2025
- 2025A Post-trainer's Guide to Multilingual Training Data: Uncovering Cross-lingual Transfer Dynamics23 Apr 2025
- 2024Is It Good Data for Multilingual Instruction Tuning or Just Bad Multilingual Evaluation for Large Language Models?18 Jun 2024
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- 2024LinguaLIFT: An Effective Two-stage Instruction Tuning Framework for Low-Resource Language Reasoning
- 2022Language Models are Multilingual Chain-of-Thought Reasoners
- 2025Long Chain-of-Thought Reasoning Across Languages
- 2026Rethinking the Multilingual Reasoning Gap with Layer Swap
- 2025Cross-Lingual Consistency: A Novel Inference Framework for Advancing Reasoning in Large Language Models
- 2025MMATH: A Multilingual Benchmark for Mathematical Reasoning
- 2025Crosslingual Reasoning through Test-Time Scaling
- 2025A Comprehensive Evaluation of Multilingual Chain-of-Thought Reasoning: Performance, Consistency, and Faithfulness Across Languages