mlsanityData to 14 Oct 2026

Comparison of different Unique hard attention transformer models by the formal languages they can recognize

arXiv 2506.03370 ↗First posted 3 Jun 2025cs.LG cs.CL cs.FLcited by 0

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Abstract (arXiv)

This note is a survey of various results on the capabilities of unique hard attention transformers encoders (UHATs) to recognize formal languages. We distinguish between masked vs. non-masked, finite vs. infinite image and general vs. bilinear attention score functions. We recall some relations between these models, as well as a lower bound in terms of first-order logic and an upper bound in terms of circuit complexity.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 7 of its 11 references that are in the map. First posted on arXiv 3 Jun 2025.

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References · 7

  1. 2019Theoretical Limitations of Self-Attention in Neural Sequence Modelscited by 288
  2. 2021Thinking Like Transformerscited by 184
  3. 2021Saturated Transformers are Constant-Depth Threshold Circuitscited by 139
  4. 2021Self-Attention Networks Can Process Bounded Hierarchical Languagescited by 105
  5. 2022Formal Language Recognition by Hard Attention Transformers: Perspectives from Circuit Complexitycited by 93
  6. 2023Masked Hard-Attention Transformers Recognize Exactly the Star-Free Languagescited by 49
  7. 2023Logical Languages Accepted by Transformer Encoders with Hard Attentioncited by 38

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