Do Language Models Understand Implicit Logical Meaning? A Case Study of Scope Ambiguity Resolution in Context

Jieun Kim, Suhyeon Park, Kunhui Lee, Seung-Hoon Na


Abstract
Scope ambiguity arises when a single surface string admits multiple logical interpretations depending on how operators such as negation and indefinites interact. Prior work (Kamath et al. 2024) primarily evaluates scope sensitivity through output-level behavior, leaving open whether alternative interpretations are internally represented or merely reflected in shifted token probabilities.

We introduce **an evidence-first, ambiguity-following diagnostic** that asks a more specific question: when the surface string is held constant and only contextual evidence biases interpretation, do transformer language models form distinct internal representations corresponding to alternative logical readings?

To investigate this, we present **SCOPEx**, extending the dataset of Kamath et al. (2024) by systematically manipulating preceding context while keeping the ambiguous sentence identical. We further introduce passivized variants as syntactically less ambiguous controls. Using SCOPEx, we show that transformer LMs:

(i) exhibit **systematic scope-sensitive behavior conditioned on context**, and

(ii) form **separable hidden-state representations for alternative scope readings of the same surface string**.

This divergence emerges in later layers and causally influences downstream predictions.
Anthology ID:
2026.emnlp-main.806
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
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SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
18772–18795
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URL:
https://aclanthology.org/2026.emnlp-main.806/
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Cite (ACL):
Jieun Kim, Suhyeon Park, Kunhui Lee, and Seung-Hoon Na. 2026. Do Language Models Understand Implicit Logical Meaning? A Case Study of Scope Ambiguity Resolution in Context. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 18772–18795, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Do Language Models Understand Implicit Logical Meaning? A Case Study of Scope Ambiguity Resolution in Context (Kim et al., EMNLP 2026)
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https://aclanthology.org/2026.emnlp-main.806.pdf