What Can String Probability Tell Us About Grammaticality?

Fuente: arXiv
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Main Authors: Hu, Jennifer, Wilcox, Ethan Gotlieb, Song, Siyuan, Mahowald, Kyle, Levy, Roger P.
Format: Preprint
Published: 2025
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author Hu, Jennifer
Wilcox, Ethan Gotlieb
Song, Siyuan
Mahowald, Kyle
Levy, Roger P.
author_facet Hu, Jennifer
Wilcox, Ethan Gotlieb
Song, Siyuan
Mahowald, Kyle
Levy, Roger P.
contents What have language models (LMs) learned about grammar? This question remains hotly debated, with major ramifications for linguistic theory. However, since probability and grammaticality are distinct notions in linguistics, it is not obvious what string probabilities can reveal about an LM's underlying grammatical knowledge. We present a theoretical analysis of the relationship between grammar, meaning, and string probability, based on simple assumptions about the generative process of corpus data. Our framework makes three predictions, which we validate empirically using 280K sentence pairs in English and Chinese: (1) correlation between the probability of strings within minimal pairs, i.e., string pairs with minimal semantic differences; (2) correlation between models' and humans' deltas within minimal pairs; and (3) poor separation in probability space between unpaired grammatical and ungrammatical strings. Our analyses give theoretical grounding for using probability to learn about LMs' structural knowledge, and suggest directions for future work in LM grammatical evaluation.
format Preprint
id arxiv_https___arxiv_org_abs_2510_16227
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle What Can String Probability Tell Us About Grammaticality?
Hu, Jennifer
Wilcox, Ethan Gotlieb
Song, Siyuan
Mahowald, Kyle
Levy, Roger P.
Computation and Language
Artificial Intelligence
What have language models (LMs) learned about grammar? This question remains hotly debated, with major ramifications for linguistic theory. However, since probability and grammaticality are distinct notions in linguistics, it is not obvious what string probabilities can reveal about an LM's underlying grammatical knowledge. We present a theoretical analysis of the relationship between grammar, meaning, and string probability, based on simple assumptions about the generative process of corpus data. Our framework makes three predictions, which we validate empirically using 280K sentence pairs in English and Chinese: (1) correlation between the probability of strings within minimal pairs, i.e., string pairs with minimal semantic differences; (2) correlation between models' and humans' deltas within minimal pairs; and (3) poor separation in probability space between unpaired grammatical and ungrammatical strings. Our analyses give theoretical grounding for using probability to learn about LMs' structural knowledge, and suggest directions for future work in LM grammatical evaluation.
title What Can String Probability Tell Us About Grammaticality?
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2510.16227