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This research challenges the prevailing "hop-aligned circuit hypothesis" by demonstrating that in large language models, later-hop answer entities can be decoded before bridge entities, a phenomenon termed layer-order inversion. The authors introduce a probabilistic recall-and-extract framework to explain this behavior, offering new mechanistic insights into how multi-hop reasoning functions within shallow MLP and deeper attention layers. These findings provide a crucial diagnostic tool for understanding the internal composition of facts in LLMs beyond simple sequential processing.
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Layer-Order Inversion: Rethinking Latent Multi-Hop Reasoning in Large Language Models

arXiv2 min read

arXiv:2601.03542v2 Announce Type: replace-cross Abstract: Large language models (LLMs) perform well on multi-hop reasoning, yet how they internally compose multiple facts remains unclear. Recent work proposes \emph{hop-aligned circuit hypothesis}, suggesting that bridge entities are computed sequentially across layers before later-hop answers. Through systematic analyses on real-world multi-hop queries, we show that this hop-aligned assumption does not generalize: later-hop answer entities can become decodable earlier than bridge entities, a phenomenon we call \emph{layer-order inversion}, which strengthens with total hops. To explain this behavior, we propose a \emph{probabilistic recall-and-extract} framework that models multi-hop reasoning as broad probabilistic recall in shallow MLP layers followed by selective extraction in deeper attention layers. This framework is empirically validated through systematic probing analyses, reinterpreting prior layer-wise decoding evidence, explaining chain-of-thought gains, and providing a mechanistic diagnosis of multi-hop failures despite correct single-hop knowledge. Code is available at https://github.com/laquabe/Layer-Order-Inversion.

Abstract:Large language models (LLMs) perform well on multi-hop reasoning, yet how they internally compose multiple facts remains unclear. Recent work proposes \emph{hop-aligned circuit hypothesis}, suggesting that bridge entities are computed sequentially across layers before later-hop answers. Through systematic analyses on real-world multi-hop queries, we show that this hop-aligned assumption does not generalize: later-hop answer entities can become decodable earlier than bridge entities, a phenomenon we call \emph{layer-order inversion}, which strengthens with total hops. To explain this behavior, we propose a \emph{probabilistic recall-and-extract} framework that models multi-hop reasoning as broad probabilistic recall in shallow MLP layers followed by selective extraction in deeper attention layers. This framework is empirically validated through systematic probing analyses, reinterpreting prior layer-wise decoding evidence, explaining chain-of-thought gains, and providing a mechanistic diagnosis of multi-hop failures despite correct single-hop knowledge. Code is available at this https URL.

Computation and Language (cs.CL); Artificial Intelligence (cs.AI)

arXiv:2601.03542 [cs.CL]

(or arXiv:2601.03542v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2601.03542 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 235 words

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