Don’t Judge a Book by its Cover: Testing LLMs’ Robustness Under Logical Obfuscation

Abhilekh Borah, Shubhra Ghosh, Kedar Joshi, Aditya Kumar Guru, Kripabandhu Ghosh


Abstract
Tasks such as solving arithmetic equations, evaluating truth tables, and completing syllogisms are handled well by large language models (LLMs) in their standard form, but they often fail when the same problems are posed in logically equivalent yet obfuscated formats. To study this vulnerability, we introduce Logifus, a structure-preserving logical obfuscation framework, and, utilizing this, we present LogiQAte, a first-of-its-kind diagnostic benchmark with 1,108 questions across four reasoning tasks: (i) Obfus FOL (first-order logic entailment under equivalence-preserving rewrites), (ii) Obfus Blood Relation (family-graph entailment under indirect relational chains), (iii) Obfus Number Series (pattern induction under symbolic substitutions), and (iv) Obfus Direction Sense (navigation reasoning under altered directions and reference frames). Across all the tasks, evaluating six state-of-the-art models, we find that obfuscation severely degrades zero-shot performance, with performance dropping on average by 47% for GPT-4o, 27% for GPT-5, and 22% for reasoning model, o4-mini. Our findings reveal that current LLMs parse questions without deep understanding, highlighting the urgency of building models that genuinely comprehend and preserve meaning beyond surface form.
Anthology ID:
2026.eacl-long.95
Volume:
Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
March
Year:
2026
Address:
Rabat, Morocco
Editors:
Vera Demberg, Kentaro Inui, Lluís Marquez
Venue:
EACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
2162–2180
Language:
URL:
https://preview.aclanthology.org/ingest-eacl/2026.eacl-long.95/
DOI:
Bibkey:
Cite (ACL):
Abhilekh Borah, Shubhra Ghosh, Kedar Joshi, Aditya Kumar Guru, and Kripabandhu Ghosh. 2026. Don’t Judge a Book by its Cover: Testing LLMs’ Robustness Under Logical Obfuscation. In Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers), pages 2162–2180, Rabat, Morocco. Association for Computational Linguistics.
Cite (Informal):
Don’t Judge a Book by its Cover: Testing LLMs’ Robustness Under Logical Obfuscation (Borah et al., EACL 2026)
Copy Citation:
PDF:
https://preview.aclanthology.org/ingest-eacl/2026.eacl-long.95.pdf