DSFB-ATLAS Alternative Deterministic Residual Theorem Atlas: A 10,000-Theorem Universality Framework for Operator-Legible Deterministic Residual Inference - Drift–Slew, Envelope, Grammar, Trust, and Endoductive Structural Inference

This document is a defensive prior-art atlas for operator-legible deterministic residualinference — the class of inference systems that convert observation–prediction mismatchinto reproducible, human-auditable structural meaning without recourse to probabilistic,latent-variable, parameter-free black-box, or learned-classifier intermediate states.The central thesis is structural and is stated as a universality theorem. We define a category Det whose objects are typed deterministic residual systems (𝑌, ̂𝑌,ℛ,𝒟,𝒮,ℰ,𝒢,𝒯,𝒞) together with the deterministic pipeline maps(𝑦, ̂𝑦,𝜙,𝑠) → 𝑟 → (𝑑,𝜎) → 𝐸 → 𝑔 → 𝜏 → 𝐶, and whose morphisms are residual-preserving structural reductions. The full subcategory…