Recognition: 2 theorem links
· Lean TheoremLanguage Models are Multilingual Chain-of-Thought Reasoners
Pith reviewed 2026-05-15 21:02 UTC · model grok-4.3
The pith
Large language models gain step-by-step reasoning ability across many languages as they scale up.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The ability to solve MGSM problems via chain-of-thought prompting emerges with increasing model scale, and language models exhibit strong multilingual reasoning abilities even in underrepresented languages such as Bengali and Swahili.
What carries the argument
The Multilingual Grade School Math (MGSM) benchmark, formed by manual translation of GSM8K problems into ten typologically diverse languages, which measures whether chain-of-thought prompting produces correct step-by-step solutions outside English.
Load-bearing premise
The manual translations keep the original logical structure, difficulty, and meaning of each problem without introducing artifacts that change how hard the task is in the new language.
What would settle it
A new model series that shows flat or declining accuracy on the non-English MGSM sets as parameter count grows, while English accuracy continues to rise.
read the original abstract
We evaluate the reasoning abilities of large language models in multilingual settings. We introduce the Multilingual Grade School Math (MGSM) benchmark, by manually translating 250 grade-school math problems from the GSM8K dataset (Cobbe et al., 2021) into ten typologically diverse languages. We find that the ability to solve MGSM problems via chain-of-thought prompting emerges with increasing model scale, and that models have strikingly strong multilingual reasoning abilities, even in underrepresented languages such as Bengali and Swahili. Finally, we show that the multilingual reasoning abilities of language models extend to other tasks such as commonsense reasoning and word-in-context semantic judgment. The MGSM benchmark is publicly available at https://github.com/google-research/url-nlp.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces the Multilingual Grade School Math (MGSM) benchmark by manually translating 250 grade-school math problems from GSM8K into ten typologically diverse languages. It evaluates large language models using chain-of-thought prompting, finding that multilingual reasoning ability emerges with increasing model scale and remains strong even in low-resource languages such as Bengali and Swahili. The evaluation is extended to commonsense reasoning and word-in-context tasks, with the benchmark released publicly.
Significance. If the central empirical results hold, the work provides concrete evidence that chain-of-thought reasoning generalizes across languages in a scale-dependent manner, moving beyond English-centric evaluations of LLMs. The public benchmark release supports reproducibility and future multilingual research.
major comments (2)
- [§3] §3 (MGSM benchmark construction): The manual translation process is described only at a high level. No information is provided on translator qualifications, use of back-translation or other verification steps, or quantitative checks (e.g., difficulty metrics or semantic similarity scores) to confirm that translated problems preserve original logical structure and difficulty. This assumption is load-bearing for claims of strong reasoning in underrepresented languages.
- [§4-5] Experimental details (throughout §4 and §5): Exact model versions, full prompting templates per language, and statistical significance tests for cross-language and cross-scale differences are not reported. These omissions limit the ability to interpret the magnitude and reliability of the reported multilingual performance.
minor comments (2)
- [Abstract] Abstract: The abstract could explicitly state the ten languages evaluated to better foreground the typological diversity.
- [Results] Figures and tables: Ensure consistent labeling of languages and model sizes across all plots and tables for immediate readability.
Simulated Author's Rebuttal
We thank the referee for the positive recommendation of minor revision and the constructive comments. We appreciate the emphasis on transparency in benchmark construction and experimental reporting. We address each major comment below and will make the indicated revisions to strengthen the manuscript.
read point-by-point responses
-
Referee: [§3] §3 (MGSM benchmark construction): The manual translation process is described only at a high level. No information is provided on translator qualifications, use of back-translation or other verification steps, or quantitative checks (e.g., difficulty metrics or semantic similarity scores) to confirm that translated problems preserve original logical structure and difficulty. This assumption is load-bearing for claims of strong reasoning in underrepresented languages.
Authors: We agree that additional details would improve clarity and address potential concerns about translation fidelity. In the revised manuscript, we will expand the description in §3 to specify that translations were carried out by professional translators who are native speakers of each target language and highly proficient in English. We will describe a verification process that included back-translation of a random subset of problems to English, followed by manual review against the originals by the authors to confirm preservation of logical structure and numerical content. We will also note that no quantitative semantic similarity metrics were computed because the problems are short, direct translations with no alterations to meaning or difficulty; the benchmark design intentionally isolates language while keeping the underlying math identical to GSM8K. These additions will be added without changing any results or claims. revision: yes
-
Referee: [§4-5] Experimental details (throughout §4 and §5): Exact model versions, full prompting templates per language, and statistical significance tests for cross-language and cross-scale differences are not reported. These omissions limit the ability to interpret the magnitude and reliability of the reported multilingual performance.
Authors: We thank the referee for highlighting these omissions. In the revised version, we will add the following: (1) explicit model versions and parameter counts (e.g., PaLM 8B, 62B, and 540B as released in the original PaLM work); (2) the complete set of prompting templates for all ten languages in a new appendix, with a note that templates were minimally adapted from the English version to maintain semantic equivalence; (3) statistical significance testing (paired bootstrap or t-tests with reported p-values) for the main cross-language and cross-scale comparisons in §4 and §5. These changes will be incorporated into the text and appendix without altering any empirical findings. revision: yes
Circularity Check
No significant circularity: purely empirical benchmark evaluation
full rationale
The paper introduces the MGSM benchmark via manual translation of 250 GSM8K problems into ten languages and reports empirical results on chain-of-thought performance across model scales. No derivations, equations, fitted parameters, or predictions are present that reduce reported outcomes to inputs by construction. The central claims rest on direct evaluation rather than any self-referential loop, self-citation load-bearing premise, or ansatz smuggling. External citation to Cobbe et al. (2021) for the source dataset is non-circular as it supplies independent data.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption Chain-of-thought prompting elicits step-by-step reasoning in large language models
- domain assumption Manual translations preserve problem difficulty and logical structure across languages
Forward citations
Cited by 19 Pith papers
-
Combining On-Policy Optimization and Distillation for Long-Context Reasoning in Large Language Models
dGRPO merges outcome-based policy optimization with dense teacher guidance from on-policy distillation, yielding more stable long-context reasoning on the new LongBlocks synthetic dataset.
-
Less Languages, Less Tokens: An Efficient Unified Logic Cross-lingual Chain-of-Thought Reasoning Framework
UL-XCoT maintains competitive accuracy on multilingual benchmarks while cutting decoding tokens by over 50% through per-query language selection and logic-space trajectory pruning.
-
ALTO: Adaptive LoRA Tuning and Orchestration for Heterogeneous LoRA Training Workloads
ALTO accelerates LoRA tuning up to 13.8x by monitoring loss trajectories for early stopping, using fused grouped GEMM with rank-local adapter parallelism, and combining intra- and inter-task scheduling for heterogeneo...
-
RoMathExam: A Longitudinal Dataset of Romanian Math Exams (1895-2025) with a Seven-Decade Core (1957-2025)
RoMathExam supplies a century-long collection of Romanian math exams together with a new intrinsic complexity metric that correlates across frontier models at r > 0.72.
-
Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Heads
Medusa augments LLMs with multiple decoding heads and tree-based attention to predict and verify several tokens in parallel, yielding 2.2-3.6x inference speedup via two fine-tuning regimes.
-
Multilingual Safety Alignment via Self-Distillation
MSD enables cross-lingual safety transfer in LLMs via self-distillation with Dual-Perspective Safety Weighting, improving safety in low-resource languages without target response data.
-
COMPASS: COntinual Multilingual PEFT with Adaptive Semantic Sampling
COMPASS uses semantic clustering on multilingual embeddings to select auxiliary data for PEFT adapters, outperforming linguistic-similarity baselines on multilingual benchmarks while supporting continual adaptation.
-
x1: Learning to Think Adaptively Across Languages and Cultures
x1 models adaptively select an advantageous language for reasoning per instance, yielding gains on multilingual math and cultural tasks while showing that scaling does not erase culture-language advantages.
-
English is Not All You Need: Systematically Exploring the Role of Multilinguality in LLM Post-Training
Systematic experiments demonstrate that multilingual coverage in LLM post-training improves results for all languages and tasks compared to English-only, with low-resource languages gaining most and zero-shot transfer...
-
Precise Shield: Explaining and Aligning VLLM Safety via Neuron-Level Guidance
Precise Shield identifies safety neurons in VLLMs via activation contrasts and aligns only them with gradient masking, boosting safety, preserving generalization, and enabling zero-shot cross-lingual and cross-modal transfer.
-
Sensitivity-Positional Co-Localization in GQA Transformers
In Llama 3.1 8B, task-sensitive layers cluster late while RoPE adaptation is strongest early, yet applying both adaptations only to sensitivity-identified layers outperforms other layer choices by 4-16 points on MMLU,...
-
Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Them
Chain-of-thought prompting enables large language models to surpass average human performance on 17 of 23 challenging BIG-Bench tasks.
-
Emergent Abilities of Large Language Models
Emergent abilities are capabilities present in large language models but absent in smaller ones and cannot be predicted by extrapolating smaller model performance.
-
Multilingual Safety Alignment via Self-Distillation
MSD transfers LLM safety from high-resource to low-resource languages via self-distillation and dual-perspective weighting without needing response data.
-
Learning Uncertainty from Sequential Internal Dispersion in Large Language Models
SIVR detects LLM hallucinations by learning from token-wise and layer-wise variance patterns in internal hidden states, outperforming baselines with better generalization and less training data.
-
PaLM 2 Technical Report
PaLM 2 reports state-of-the-art results on language, reasoning, and multilingual tasks with improved efficiency over PaLM.
-
A Survey of Self-Evolving Agents: What, When, How, and Where to Evolve on the Path to Artificial Super Intelligence
The paper delivers the first systematic review of self-evolving agents, structured around what components evolve, when adaptation occurs, and how it is implemented.
-
From LLM Reasoning to Autonomous AI Agents: A Comprehensive Review
A survey consolidating benchmarks, agent frameworks, real-world applications, and protocols for LLM-based autonomous agents into a proposed taxonomy with recommendations for future research.
-
Benchmarking EngGPT2-16B-A3B against Comparable Italian and International Open-source LLMs
EngGPT2MoE-16B-A3B matches or beats other Italian models on most international benchmarks but trails top international models such as GPT-5 nano and Qwen3-8B.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.