Evaluating Relational Reasoning in LLMs with REL

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Main Authors: Fesser, Lukas, Ektefaie, Yasha, Fang, Ada, Kakade, Sham M., Zitnik, Marinka
Format: Preprint
Published: 2026
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author Fesser, Lukas
Ektefaie, Yasha
Fang, Ada
Kakade, Sham M.
Zitnik, Marinka
author_facet Fesser, Lukas
Ektefaie, Yasha
Fang, Ada
Kakade, Sham M.
Zitnik, Marinka
contents Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models often focus on structured inputs such as tables, graphs, or synthetic tasks, and do not isolate the difficulty introduced by higher-arity relational binding. We study this problem through the lens of Relational Complexity (RC), which we define as the minimum number of independent entities or operands that must be simultaneously bound to apply a relation. RC provides a principled way to vary reasoning difficulty while controlling for confounders such as input size, vocabulary, and representational choices. Building on RC, we introduce REL, a generative benchmark framework spanning algebra, chemistry, and biology that varies RC within each domain. Across frontier LLMs, performance degrades consistently and monotonically as RC increases, even when the total number of entities is held fixed. This failure mode persists with increased test-time compute and in-context learning, suggesting a limitation tied to the arity of the required relational binding rather than to insufficient inference steps or lack of exposure to examples. Our results identify a regime of higher-arity reasoning in which current models struggle, and motivate re-examining benchmarks through the lens of relational complexity.
format Preprint
id arxiv_https___arxiv_org_abs_2604_12176
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Evaluating Relational Reasoning in LLMs with REL
Fesser, Lukas
Ektefaie, Yasha
Fang, Ada
Kakade, Sham M.
Zitnik, Marinka
Artificial Intelligence
I.2.7
Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models often focus on structured inputs such as tables, graphs, or synthetic tasks, and do not isolate the difficulty introduced by higher-arity relational binding. We study this problem through the lens of Relational Complexity (RC), which we define as the minimum number of independent entities or operands that must be simultaneously bound to apply a relation. RC provides a principled way to vary reasoning difficulty while controlling for confounders such as input size, vocabulary, and representational choices. Building on RC, we introduce REL, a generative benchmark framework spanning algebra, chemistry, and biology that varies RC within each domain. Across frontier LLMs, performance degrades consistently and monotonically as RC increases, even when the total number of entities is held fixed. This failure mode persists with increased test-time compute and in-context learning, suggesting a limitation tied to the arity of the required relational binding rather than to insufficient inference steps or lack of exposure to examples. Our results identify a regime of higher-arity reasoning in which current models struggle, and motivate re-examining benchmarks through the lens of relational complexity.
title Evaluating Relational Reasoning in LLMs with REL
topic Artificial Intelligence
I.2.7
url https://arxiv.org/abs/2604.12176