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April 27, 2026Open Access

Recursive Language Models Through the Admissibility-Dynamics Framework: A Principled Theory of When Recursive Scaffolding Succeeds

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SJShawn Kevin Jason

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Overview

Randomized trial establishes conditions for success in recursive language models architecture, suggesting important implications for AI outcomes.

Key Points

  • This research aims to define when recursive language models can effectively fulfill admissibility structures and conditions under a theoretical framework.
  • Developed a framework applying the constraint-requirement method to Recursive Language Models (RLM).
  • Derived a quantitative accumulation bound related to sub-call invocation rates.
  • Characterized conditions under which recursive calls harm or help language model functioning.
  • Identified the distinction between beneficial recursion and recursion that propagates failure based on summary transmission.
  • Established that the root model's choice to recurse impacts efficiency, with failure rates scaling with actual sub-calls used.
  • Characterized applications to retrieval-augmented generation and RLM failure rates with a focus on architecture benefits.

Cite This Study

Shawn Kevin Jason (2026) studied this question.

synapsesocial.com/papers/69eefd82fede9185760d4379https://doi.org/10.5281/zenodo.19753550
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