An inference is admissible if and only if all three conditions hold

This document defines the DECISION layer of the COS45 framework. It formalizes the admissibility condition used to determine whether an inference is justified under noise-constrained observations. The decision rule is based on the detectability margin:η = δ − τ where δ represents observable structure derived from data, and τ represents the uncertainty threshold. An inference is admissible if and only if the following conditions hold:η > 0, T = 1, and R ≥ R_min. This is a decision rule, not a statement of existence. The DECISION layer evaluates detectability, not the existence of underlying structure. All admissibility outcomes are contingent on observable inputs and uncertainty estimates. This document does…