Quantifying Logical Consistency in Transformers via Query-Key Alignment

Fuente: arXiv
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Autori principali: Tulchinskii, Eduard, Voznyuk, Anastasia, Kushnareva, Laida, Andriiainen, Andrei, Piontkovskaya, Irina, Burnaev, Evgeny, Barannikov, Serguei
Natura: Preprint
Pubblicazione: 2025
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author Tulchinskii, Eduard
Voznyuk, Anastasia
Kushnareva, Laida
Andriiainen, Andrei
Piontkovskaya, Irina
Burnaev, Evgeny
Barannikov, Serguei
author_facet Tulchinskii, Eduard
Voznyuk, Anastasia
Kushnareva, Laida
Andriiainen, Andrei
Piontkovskaya, Irina
Burnaev, Evgeny
Barannikov, Serguei
contents Large language models (LLMs) have demonstrated impressive performance in various natural language processing tasks, yet their ability to perform multi-step logical reasoning remains an open challenge. Although Chain-of-Thought prompting has improved logical reasoning by enabling models to generate intermediate steps, it lacks mechanisms to assess the coherence of these logical transitions. In this paper, we propose a novel, lightweight evaluation strategy for logical reasoning that uses query-key alignments inside transformer attention heads. By computing a single forward pass and extracting a "QK-score" from carefully chosen heads, our method reveals latent representations that reliably separate valid from invalid inferences, offering a scalable alternative to traditional ablation-based techniques. We also provide an empirical validation on multiple logical reasoning benchmarks, demonstrating improved robustness of our evaluation method against distractors and increased reasoning depth. The experiments were conducted on a diverse set of models, ranging from 1.5B to 70B parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17017
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantifying Logical Consistency in Transformers via Query-Key Alignment
Tulchinskii, Eduard
Voznyuk, Anastasia
Kushnareva, Laida
Andriiainen, Andrei
Piontkovskaya, Irina
Burnaev, Evgeny
Barannikov, Serguei
Computation and Language
Information Theory
Machine Learning
Logic
Large language models (LLMs) have demonstrated impressive performance in various natural language processing tasks, yet their ability to perform multi-step logical reasoning remains an open challenge. Although Chain-of-Thought prompting has improved logical reasoning by enabling models to generate intermediate steps, it lacks mechanisms to assess the coherence of these logical transitions. In this paper, we propose a novel, lightweight evaluation strategy for logical reasoning that uses query-key alignments inside transformer attention heads. By computing a single forward pass and extracting a "QK-score" from carefully chosen heads, our method reveals latent representations that reliably separate valid from invalid inferences, offering a scalable alternative to traditional ablation-based techniques. We also provide an empirical validation on multiple logical reasoning benchmarks, demonstrating improved robustness of our evaluation method against distractors and increased reasoning depth. The experiments were conducted on a diverse set of models, ranging from 1.5B to 70B parameters.
title Quantifying Logical Consistency in Transformers via Query-Key Alignment
topic Computation and Language
Information Theory
Machine Learning
Logic
url https://arxiv.org/abs/2502.17017