arXiv — NLP / Computation & Language · · 3 min read

Causal Evidence of Stack Representations in Modeling Counter Languages Using Transformers

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Computer Science > Computation and Language

arXiv:2606.03398 (cs)
[Submitted on 2 Jun 2026]

Title:Causal Evidence of Stack Representations in Modeling Counter Languages Using Transformers

Authors:Nishit Singh
View a PDF of the paper titled Causal Evidence of Stack Representations in Modeling Counter Languages Using Transformers, by Nishit Singh
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Abstract:Formal languages have proven to be effective conduits to understand the inner mechanisms of transformers. Past work has shown that transformers trained on next token prediction over counter languages learn representations consistent with an underlying stack structure. Beyond representational analysis, this paper investigates the causal role of these representations. Linear probes are trained to predict the stack depth at each token from the model's hidden states, and a principal representation direction is extracted from the probe. Ablation of this direction from the model causes sequential accuracy to collapse to near 0%, providing strong empirical evidence that the stack representation is not just learned, but is causally necessary for model performance.
Comments: 8 pages, 8 figures
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI)
Cite as: arXiv:2606.03398 [cs.CL]
  (or arXiv:2606.03398v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2606.03398
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Nishit Singh [view email]
[v1] Tue, 2 Jun 2026 09:39:40 UTC (1,044 KB)
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