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Published March 15, 2026 | Version v12

Execution Sufficiency and State Sufficiency: Record Sufficiency in Reflexive Research Systems

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Description

AI-mediated research records often preserve enough information to replay a process without preserving enough information to resume it. This article formalizes that distinction through execution sufficiency and state sufficiency. A record is execution-sufficient when it determines a replayable continuation class; it is state-sufficient when it determines the operative state required for continuation. Using a compact model of operative state, record projection, replay, and restoration, the article proves that replayability and resumability separate whenever the record projection collapses distinct operative states into the same externalized trace. It then shows constructively that augmenting the artifact family can remove the relevant collapse on a targeted state class. The architectural consequence is direct: future AI-mediated research systems require state-bearing records, not merely replayable logs.

 

Notes

Keywords
reflexive research systems
record sufficiency
execution sufficiency
state sufficiency
replayability
resumability
AI-mediated research

Access right
Open Access

License
CC BY 4.0
(only use this if that is your intended license)

DOI fields

Concept DOI
10.5281/zenodo.18902418

Version DOI
10.5281/zenodo.19042930

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This Zenodo record includes the article PDF, manuscript source, Graphviz/DOT source files for Figures A10-01 to A10-03, rendered figure assets, and release-packaging materials. The source transcript corpus and figure-generation artifacts function as design-log evidence and reproducible diagram assets for the manuscript.

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Subjects / communities

  • Applied Mathematics

  • Mathematical Modeling

  • AI and Society

  • Research Methods

  • Computational Research Workflows

Notes

  • Funding: none

  • Competing interests: none

  • Generative AI tools were used during interactive manuscript development and editorial refinement; all formal claims, theorem structure, figure logic, and final manuscript decisions were reviewed and curated by the author.

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2026-03-15-P10 SUFFICIENCY MODELS.pdf

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Additional details

Dates

Created
2026-03-15