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February 16, 20260 citationsOpen Access

Admissibility-Gated Computation — A Minimal Reliability Criterion for Numerical Prediction (Principle Paper)

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APAndrew John Paton

Key Points

  • To establish a minimal reliability criterion for predictive computation through admissibility conditions.
  • Introduced the concept of an admissibility gate as a binary diagnostic predicate.
  • Defined a certified boundary as the point of lost admissibility.
  • Developed a theoretical framework applicable across various domains.
  • Prediction is deemed valid only if admissibility conditions are satisfied.
  • The framework helps separate the concepts of prediction and certification.
  • Impacts various fields including numerical simulation and algorithmic inference.

Abstract

This paper formalizes a minimal reliability principle for predictive computation: prediction is valid only while admissibility conditions remain satisfied. It introduces the concept of an admissibility gate, a binary diagnostic predicate evaluated during computation that determines whether continuation is permitted. The formulation establishes a strict separation between prediction and certification and defines a certified boundary of prediction as the first point at which admissibility is lost. The framework is domain-agnostic and applies across numerical simulation, algorithmic inference, and iterative predictive systems.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69926503eb1f82dc367a0e5fhttps://doi.org/10.5281/zenodo.18644549
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