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

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

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 →

• Autoregressive Transformers
• Context Management
• Turing-Completeness

• paper
• other