The paper claims a mathematical impossibility: every capable LLM must violate at least one of four idealized response properties, so hallucination is structurally inevitable.
Linear attention is (maybe) all you need (to understand transformer optimization), 2024
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
stat.ML 1years
2025 1verdicts
REJECT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
On the Fundamental Impossibility of Hallucination Control in Large Language Models
The paper claims a mathematical impossibility: every capable LLM must violate at least one of four idealized response properties, so hallucination is structurally inevitable.