Mission: Impossible Language Models
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Abstract (arXiv)
Chomsky and others have very directly claimed that large language models (LLMs) are equally capable of learning languages that are possible and impossible for humans to learn. However, there is very little published experimental evidence to support such a claim. Here, we develop a set of synthetic impossible languages of differing complexity, each designed by systematically altering English data with unnatural word orders and grammar rules. These languages lie on an impossibility continuum: at one end are languages that are inherently impossible, such as random and irreversible shuffles of English words, and on the other, languages that may not be intuitively impossible but are often considered so in linguistics, particularly those with rules based on counting word positions. We report on a wide range of evaluations to assess the capacity of GPT-2 small models to learn these uncontroversially impossible languages, and crucially, we perform these assessments at various stages throughout training to compare the learning process for each language. Our core finding is that GPT-2 struggles to learn impossible languages when compared to English as a control, challenging the core claim. More importantly, we hope our approach opens up a productive line of inquiry in which different LLM architectures are tested on a variety of impossible languages in an effort to learn more about how LLMs can be used as tools for these cognitive and typological investigations.
Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). Builds on 32 of its 76 references that are in the map. First posted on arXiv 12 Jan 2024.
Builds on
32 of 76 references.
References · 32
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- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
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- 2021Masked Language Modeling and the Distributional Hypothesis: Order Word Matters Pre-training for Littlecited by 177
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- 2020Out of Order: How Important Is The Sequential Order of Words in a Sentence in Natural Language Understanding Tasks?cited by 73
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- 2019Sequential Neural Networks as Automatacited by 54
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- 2022Word Order Does Matter (And Shuffled Language Models Know It)cited by 32
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- 2023Pushdown Layers: Encoding Recursive Structure in Transformer Language Modelscited by 19
- 2018Context-Free Transductions with Neural Stackscited by 14
- 2021Syntactic Perturbations Reveal Representational Correlates of Hierarchical Phrase Structure in Pretrained Language Modelscited by 14
- 2023What makes a language easy to deep-learn? Deep neural networks and humans similarly benefit from compositional structurecited by 13
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- 2021Modeling Profanity and Hate Speech in Social Media with Semantic Subspacescited by 4
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Citing papers per year: 2024: 9; 2025: 15; 2026: 8.
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- 2025Reading the unreadable: Creating a dataset of 19th century English newspapers using image-to-text language models18 Feb 2025
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- 2024Kallini et al. (2024) do not compare impossible languages with constituency-based ones16 Oct 2024
- 2024Endless Jailbreaks with Bijection Learning2 Oct 2024
- 2024Scrambled text: training Language Models to correct OCR errors using synthetic data29 Sep 2024
- 2024Beyond the Doors of Perception: Vision Transformers Represent Relations Between Objects22 Jun 2024
- 2024gzip Predicts Data-dependent Scaling Laws26 May 2024
- 2024Incremental Comprehension of Garden-Path Sentences by Large Language Models: Semantic Interpretation, Syntactic Re-Analysis, and Attention25 May 2024
- 2024Linguistic Structure from a Bottleneck on Sequential Information Processing20 May 2024
- 2024Language in Vivo vs. in Silico: Size Matters but Larger Language Models Still Do Not Comprehend Language on a Par with Humans Due to Impenetrable Semantic Reference23 Apr 2024
- 2024Endless Jailbreaks with Bijection Learningcited by 19
- 2025Unnatural Languages Are Not Bugs but Features for LLMscited by 4
- 2025Unnatural Languages Are Not Bugs but Features for LLMs2 Mar 2025
- 2024Endless Jailbreaks with Bijection Learning2 Oct 2024
- 2025How Linguistics Learned to Stop Worrying and Love the Language Modelscited by 51
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- 2025Both Direct and Indirect Evidence Contribute to Dative Alternation Preferences in Language Modelscited by 18
- 2024gzip Predicts Data-dependent Scaling Lawscited by 16
- 2024Language in Vivo vs. in Silico: Size Matters but Larger Language Models Still Do Not Comprehend Language on a Par with Humans Due to Impenetrable Semantic Referencecited by 15
- 2024Kallini et al. (2024) do not compare impossible languages with constituency-based onescited by 15
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- 2024Incremental Comprehension of Garden-Path Sentences by Large Language Models: Semantic Interpretation, Syntactic Re-Analysis, and Attentioncited by 11
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- 2026Bringing Up a Bilingual BabyLM: Investigating Multilingual Language Acquisition Using Small-Scale Modelscited by 5
12 most cited of 27 All 27 (JSON)
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- 2026Not-So-Strange Love: Language Models and Generative Linguistic Theories are More Compatible than They Appear11 May 2026
- 2026You Can't Fight in Here! This is BBS!10 Apr 2026
- 2026Across the Levels of Analysis: Explaining Predictive Processing in Humans Requires More Than Machine-Estimated Probabilities10 Apr 2026
- 2026Bringing Up a Bilingual BabyLM: Investigating Multilingual Language Acquisition Using Small-Scale Models31 Mar 2026
- 2026Baby Scale: Investigating Models Trained on Individual Children's Language Input31 Mar 2026
- 2026Large Language Models and Impossible Language Acquisition: "False Promise" or an Overturn of our Current Perspective towards AI9 Feb 2026
- 2026Are Language Models Models?15 Jan 2026
- 2025Linguists should learn to love speech-based deep learning models16 Dec 2025
- 2025Large language models are not about natural language15 Dec 2025
- 2025Large language models have learned to use language13 Dec 2025
- 2025Language models as tools for investigating the distinction between possible and impossible natural languages10 Dec 2025
12 newest of 27 All 27 (JSON)