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arxiv: 2604.07320 · v1 · submitted 2026-04-08 · 💻 cs.CL · cs.AI

Recognition: unknown

Evaluating In-Context Translation with Synchronous Context-Free Grammar Transduction

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Pith reviewed 2026-05-10 17:29 UTC · model grok-4.3

classification 💻 cs.CL cs.AI
keywords in-context learningmachine translationlow-resource languagessynchronous context-free grammarslarge language modelserror analysisformal transductiongrammar size
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The pith

LLMs' in-context translation accuracy falls sharply with larger grammars, longer sentences, and mismatches in morphology or script.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests whether large language models can translate between formal languages when given only an in-context grammar description, using specially built synchronous context-free grammars as a controlled stand-in for low-resource natural languages. This isolates the ability to link grammatical rules to sentences without any training data. A sympathetic reader would care because it probes a proposed workaround for languages that lack the massive parallel corpora current models require. The experiments vary grammar size, sentence length, morphological complexity, and writing systems, revealing consistent drops in accuracy and recurring error types such as wrong-word recall, invented tokens, and untranslated source words.

Core claim

When given a synchronous context-free grammar and a source-language sentence, LLMs produce correct translations less often as the grammar grows larger or the sentences grow longer; performance is further reduced when the source and target languages differ in morphology or orthography; and the dominant error modes are recalling incorrect target-language words, hallucinating new words, or leaving source words untranslated.

What carries the argument

Synchronous context-free grammars that pair formal languages to isolate grammar size, sentence length, morphology, and script differences.

If this is right

  • Accuracy will continue to degrade as the number of rules or the length of input sentences increases.
  • Languages with richer morphology or different scripts will remain harder to translate under in-context conditions.
  • Models will keep producing the same three dominant error types rather than other kinds of syntactic mistakes.
  • In-context grammar use alone will not close the performance gap for languages lacking large training corpora.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The formal-task results imply that simply scaling context length or model size may not overcome the observed limits without changes to how rules are represented.
  • These SCFG benchmarks could serve as a quick filter for new in-context methods before testing them on scarce real-language data.
  • The error patterns suggest models treat the grammar more like a lookup table than as a generative rule system when context grows complex.
  • Future work could add explicit rule-application steps to the prompt to test whether the drop in performance is due to inference difficulty rather than rule encoding.

Load-bearing premise

That success or failure on these artificial grammar tasks will predict how the same models behave when given real-language grammars and dictionaries for low-resource natural languages.

What would settle it

Running the same models on actual low-resource language pairs supplied with textbook-style grammar descriptions and dictionaries, then checking whether the error rates and accuracy trends match those observed on the SCFG tasks.

Figures

Figures reproduced from arXiv: 2604.07320 by Jackson Petty, Jaulie Goe, Tal Linzen.

Figure 1
Figure 1. Figure 1: (left) A small SCFG defining fragments of English and Japanese using production rules, from which is sampled (right) a corresponding pair of English and Japanese sentences. Adapted from Chiang (2021). requires a large volume of training data in each language, limiting the efficacy of language models for translation into or out of low-resource languages. This scarcity of necessary data is partially addresse… view at source ↗
Figure 2
Figure 2. Figure 2: An abridged SCFG defining two naturalistic formal languages. [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Mean accuracy on size (all models) and word order, morphology, and orthography [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Error distributions for gpt-5 by experiment. Error categories are not mutually exclusive. The most frequent error types are source vocabulary words leakage, recall errors, omission of words, and in the case of the orthography experiment, hallucinating vocabulary words and translating words in the wrong orthography. Error type Target Model translation Word ordering sotkob ir tuh paj gtel bkecgsix mgimokov s… view at source ↗
Figure 5
Figure 5. Figure 5: Full results for grammar size & sentence length experiment. Error bars show 95% [PITH_FULL_IMAGE:figures/full_fig_p020_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Full results for gpt-5 on the word order experiment. Error bars show 95% confidence interval. 25 [PITH_FULL_IMAGE:figures/full_fig_p025_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Full results for gpt-5-mini on the word order experiment. Error bars show 95% confidence interval. 0 5k 10k Grammar size 0% 50% 100% Mean score Exact Match 0 5k 10k Bag of Words 0 5k 10k BLEU Score 0 5k 10k chrF++ SVO SVO SVO SOV SVO OVS 10 20 30 Input length (binned into 5 quantiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [PITH_FULL_IMAGE:figures/full_fig_p026_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Full results for gpt-5-nano on the word order experiment. Error bars show 95% confidence interval. 26 [PITH_FULL_IMAGE:figures/full_fig_p026_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Full results for gemma-3-12b-it on the word order experiment. Error bars show 95% confidence interval. 0 5k 10k Grammar size 0% 50% 100% Mean score Exact Match 0 5k 10k Bag of Words 0 5k 10k BLEU Score 0 5k 10k chrF++ SVO SVO SVO SOV SVO OVS 10 20 30 Input length (binned into 5 quantiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [PITH_FULL_IMAGE:figures/full_fig_p027_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Full results for gemma-3-4b-it on the word order experiment. Error bars show 95% confidence interval. 27 [PITH_FULL_IMAGE:figures/full_fig_p027_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Full results for gemma-3-1b-it on the word order experiment. Error bars show 95% confidence interval. Condition Metric 25 50 100 1,000 5,000 7,500 10,000 NoAgr → NoAgr Exact Match 0.996 1.000 1.000 0.967 0.796 0.796 0.729 Bag of Words 0.996 1.000 1.000 0.967 0.796 0.796 0.729 BLEU 0.999 1.000 1.000 0.993 0.962 0.958 0.953 chrF++ 1.000 1.000 1.000 0.996 0.979 0.977 0.973 Agr → NoAgr Exact Match 0.400 0.421… view at source ↗
Figure 12
Figure 12. Figure 12: Full results for gpt-5 on the morphology experiment. Error bars show 95% confidence interval. 31 [PITH_FULL_IMAGE:figures/full_fig_p031_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Full results for gpt-5-mini on the morphology experiment. Error bars show 95% confidence interval. 0 5K 10K Grammar size 0% 50% 100% Mean score Exact Match 0 5K 10K Bag of Words 0 5K 10K BLEU Score 0 5K 10K chrF++ NoAgr NoAgr Agr NoAgr Agr Agr NoAgr Agr 10 20 30 Sentence length (binned into 5 quantiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [PITH_FULL_IMAGE:figures/full_fig_p032_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Full results for gpt-5-nano on the morphology experiment. Error bars show 95% confidence interval. 32 [PITH_FULL_IMAGE:figures/full_fig_p032_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: Full results for gpt-5 on the orthography experiment. Error bars show 95% confidence interval. 0 5K 10K Grammar size 0% 50% 100% Mean score Exact Match 0 5K 10K Bag of Words 0 5K 10K BLEU Score 0 5K 10K chrF++ Latin Latin Latin Latin (diacritics) Latin Cyrillic Latin Hebrew Latin Hebrew (pointed) 10 20 30 Sentence length (binned into quintiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [PITH_FULL… view at source ↗
Figure 16
Figure 16. Figure 16: Full results for gpt-5-mini on the orthography experiment. Error bars show 95% confidence interval. 39 [PITH_FULL_IMAGE:figures/full_fig_p039_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: Full results for gpt-5-nano on the orthography experiment. Error bars show 95% confidence interval. 0 5K 10K Grammar size 0% 50% 100% Mean score Exact Match 0 5K 10K Bag of Words 0 5K 10K BLEU Score 0 5K 10K chrF++ Latin Latin Latin Latin (diacritics) Latin Cyrillic Latin Hebrew Latin Hebrew (pointed) 10 20 30 Sentence length (binned into quintiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [PITH… view at source ↗
Figure 18
Figure 18. Figure 18: Full results for gemma-3-12b-it on the orthography experiment. Error bars show 95% confidence interval. 0 5K 10K Grammar size 0% 50% 100% Mean score Exact Match 0 5K 10K Bag of Words 0 5K 10K BLEU Score 0 5K 10K chrF++ Latin Latin Latin Latin (diacritics) Latin Cyrillic Latin Hebrew Latin Hebrew (pointed) 10 20 30 Sentence length (binned into quintiles) 0% 50% 100% Mean score 10 20 30 10 20 30 10 20 30 [… view at source ↗
Figure 19
Figure 19. Figure 19: Full results for gemma-3-4b-it on the orthography experiment. Error bars show 95% confidence interval. 40 [PITH_FULL_IMAGE:figures/full_fig_p040_19.png] view at source ↗
Figure 20
Figure 20. Figure 20: Full results for gemma-3-1b-it on the orthography experiment. Error bars show 95% confidence interval. 41 [PITH_FULL_IMAGE:figures/full_fig_p041_20.png] view at source ↗
read the original abstract

Low-resource languages pose a challenge for machine translation with large language models (LLMs), which require large amounts of training data. One potential way to circumvent this data dependence is to rely on LLMs' ability to use in-context descriptions of languages, like textbooks and dictionaries. To do so, LLMs must be able to infer the link between the languages' grammatical descriptions and the sentences in question. Here we isolate this skill using a formal analogue of the task: string transduction based on a formal grammar provided in-context. We construct synchronous context-free grammars which define pairs of formal languages designed to model particular aspects of natural language grammar, morphology, and written representation. Using these grammars, we measure how well LLMs can translate sentences from one formal language into another when given both the grammar and the source-language sentence. We vary the size of the grammar, the lengths of the sentences, the syntactic and morphological properties of the languages, and their written script. We note three key findings. First, LLMs' translation accuracy decreases markedly as a function of grammar size and sentence length. Second, differences in morphology and written representation between the source and target languages can strongly diminish model performance. Third, we examine the types of errors committed by models and find they are most prone to recall the wrong words from the target language vocabulary, hallucinate new words, or leave source-language words untranslated.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper introduces the use of synchronous context-free grammars (SCFGs) as a formal proxy for evaluating LLMs' ability to perform in-context translation between languages. The authors construct SCFGs to model grammar, morphology, and script differences, then test LLM performance on transduction tasks while varying grammar size, sentence length, and linguistic properties. They report that accuracy decreases with larger grammars and longer sentences, is reduced by morphological and orthographic mismatches, and that models commonly make errors by recalling incorrect words, hallucinating, or failing to translate source words.

Significance. If the SCFG-based tasks validly capture the challenges of in-context learning for low-resource translation, this provides a valuable controlled experimental paradigm for diagnosing LLM limitations in grammar induction and transduction from descriptions. The consistent directional findings across controlled variables strengthen the case for using such formal analogues in future work on LLM capabilities.

major comments (2)
  1. [Methods] The experimental setup does not specify the exact prompting templates used for providing the grammar and source sentence to the models, nor the precise versions of the LLMs tested (e.g., specific GPT or Llama checkpoints). This omission makes it difficult to assess or reproduce the quantitative results on performance degradation.
  2. [Results] No statistical significance tests, error bars, or variance measures are reported for the accuracy trends as a function of grammar size and sentence length. Given that the central claims rely on 'markedly decreases' observations, this weakens the ability to evaluate the robustness of the findings.
minor comments (2)
  1. [Abstract] The abstract mentions 'we examine the types of errors' but does not preview the specific error categories until the findings section; a brief mention would improve clarity.
  2. [Discussion] The paper could benefit from a more explicit comparison to related work on in-context learning for translation, such as studies using natural low-resource languages, to better situate the SCFG approach.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive review and recommendation for minor revision. We appreciate the positive evaluation of the work's significance and address each major comment below.

read point-by-point responses
  1. Referee: [Methods] The experimental setup does not specify the exact prompting templates used for providing the grammar and source sentence to the models, nor the precise versions of the LLMs tested (e.g., specific GPT or Llama checkpoints). This omission makes it difficult to assess or reproduce the quantitative results on performance degradation.

    Authors: We agree that explicit specification of prompting templates and exact model versions is necessary for reproducibility. The revised manuscript will include the complete prompting templates (including variations for grammar presentation and in-context examples) in a dedicated appendix and will list the precise model checkpoints used (e.g., gpt-4-turbo-2024-04-09 and Meta-Llama-3-70B-Instruct). revision: yes

  2. Referee: [Results] No statistical significance tests, error bars, or variance measures are reported for the accuracy trends as a function of grammar size and sentence length. Given that the central claims rely on 'markedly decreases' observations, this weakens the ability to evaluate the robustness of the findings.

    Authors: We acknowledge that the absence of statistical tests and variance measures limits the strength of the reported trends. In the revision we will add error bars computed over multiple independent runs (varying sampling seeds where applicable) and include paired statistical significance tests (e.g., McNemar's test or Wilcoxon signed-rank) for the key comparisons of accuracy across grammar sizes and sentence lengths. revision: yes

Circularity Check

0 steps flagged

No significant circularity; purely empirical measurement study

full rationale

The paper constructs synchronous context-free grammars to generate controlled test cases modeling aspects of grammar, morphology, and script, then directly queries LLMs on source sentences given the grammar in context and measures translation accuracy, error types, and degradation with grammar size or length. No equations, derivations, fitted parameters renamed as predictions, or self-citation chains appear in the methods or claims; results follow from explicit experimental runs on the generated data. The generalization to natural languages is flagged as a scope limitation rather than an internal derivation step.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The evaluation depends on the premise that SCFGs can serve as a faithful proxy for natural-language properties; no free parameters or new entities are introduced.

axioms (1)
  • domain assumption Synchronous context-free grammars can be constructed to model particular aspects of natural language grammar, morphology, and written representation.
    This assumption justifies using the generated language pairs as a stand-in for real linguistic challenges.

pith-pipeline@v0.9.0 · 5547 in / 1352 out tokens · 83159 ms · 2026-05-10T17:29:52.196231+00:00 · methodology

discussion (0)

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