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Paper: Transformer Turing-completeness hinges on context management

A new paper argues that the Turing-completeness of autoregressive Transformers, commonly cited in AI research, is often misunderstood. The authors distinguish between fixed Transformer systems and scaling-family settings, asserting that existing proofs of Turing-completeness primarily apply to the latter. They propose that context management, rather than the Transformer architecture alone, is the critical factor determining the computational power of real-world large language models. AI

IMPACT Clarifies theoretical underpinnings of LLM capabilities, potentially influencing future research directions in model architecture and context handling.

RANK_REASON The cluster contains an academic paper discussing theoretical aspects of AI models. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Paper: Transformer Turing-completeness hinges on context management

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The cluster contains an academic paper discussing theoretical aspects of AI models. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.CL TIER_1 English(EN) · Kun He ·

    Position: The Turing-Completeness of Real-World Autoregressive Transformers Relies Heavily on Context Management

    Many works make the eye-catching claim that Transformers are Turing-complete. However, the literature often conflates two distinct settings: (i) a fixed Transformer system setting, in which a fixed autoregressive Transformer is coupled with a fixed context-management method to pr…