The Canonical Order Problem: When Large Language Models Are Unreliable Knowledge Bases for Multi-Valued Relations
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Computer Science > Computation and Language
arXiv:2609.36209 (cs)
[Submitted on 28 Sep 2026]
Title:The Canonical Order Problem: When Large Language Models Are Unreliable Knowledge Bases for Multi-Valued Relations
View a PDF of the paper titled The Canonical Order Problem: When Large Language Models Are Unreliable Knowledge Bases for Multi-Valued Relations, by Timo Pierre Schrader and 3 other authors
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Abstract:Large language models (LLMs) are increasingly used as knowledge bases (KBs) due to the vast amount of knowledge they acquire during pre-training. While many works focus on extracting single relational triples, most real-world relations are multi-valued and require generating sets of entities.
In this paper, we investigate how LLMs represent and generate multi-valued relations. We identify the canonical order problem: The probabilistic distributions inside LLMs organize many multi-valued relations according to a canonical ordering (e.g., alphabetical or chronological). Through mechanistic analysis, we show that set generation in LLMs can be thought of in terms of three phases: (1) retrieval of candidate entities, (2) internal sorting, and (3) selection of the next element. As a result, prompts aiming to construct KBs that deviate from this internal canonical ordering lead to a markedly reduced reliability of LLMs when aiming to generate complete sets for multi-valued relations.
| Comments: | Accepted at AKBC@EMNLP2026 |
| Subjects: | Computation and Language (cs.CL) |
| Cite as: | arXiv:2609.36209 [cs.CL] |
| (or arXiv:2609.36209v1 [cs.CL] for this version) | |
| https://doi.org/10.48550/arXiv.2609.36209
arXiv-issued DOI via DataCite (pending registration)
|
Submission history
From: Timo Pierre Schrader [view email][v1] Mon, 28 Sep 2026 20:09:12 UTC (164 KB)
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View a PDF of the paper titled The Canonical Order Problem: When Large Language Models Are Unreliable Knowledge Bases for Multi-Valued Relations, by Timo Pierre Schrader and 3 other authors
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