Declarations

and competing interests. No specific funding or competing interests are declared in the supplied project materials for this mathematical analysis.

. No new human or animal experimentation is reported.

and source availability. The manuscript uses supplied documentary materials and a public implementation record. No new empirical dataset or reproduced performance table is provided. The mathematical definitions and optional repair artifacts are printed in this single source.

provenance. Analytic proofs and unexecuted test specifications are supplied. The public file was used for task-definition alignment, not represented as a version-stable substitute for an unprovided attachment. No source hash, commit identity, successful build, executed regression, or machine proof certificate is invented.

boundary. The paper does not recommend selecting, combining, discontinuing, or timing treatments. It does not identify rule-ID switching with clinical events, parameter deletion with biological lesions, or computational endpoint matching with pharmacological dose equivalence.