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 Detₒₗ consists of those objects whose six pipeline maps are all present and deterministic (the operator-legible systems).We prove (Master Theorem 1, Universality) that the Drift–Slew Fusion Bootstrap(DSFB) architecture is a terminal object in Detₒₗ: every operator-legible deterministicresidual system admits a unique residual-preserving morphism to DSFB. We further prove(Master Theorem 2, Quadrichotomy) that every object of Det falls into exactly one offour classes — Generator, Primitive, Weaker Detector, Equivalent-Under-Relabeling —determined by the longest commuting prefix of its unique morphism into DSFB.These two universality results imply that DSFB is unavoidable in deterministic residualinference in the strict mathematical sense that any operator-legible system either imple-ments the full DSFB pipeline or admits a provable structural reduction to one of threeweaker positions. The 10,000-theorem catalogue in Part III instantiates this universalityresult on 10,000concrete deterministic-method instances drawn from 100method familiesacross 10orthogonal reduction lenses (categorical, information-theoretic, computational,algebraic, topological, order-theoretic, measure-theoretic, type-theoretic, control-theoretic,and domain-empirical). Each atlas theorem is generated from a structured YAML specifica-tion through a SHA-256-deduplicated build, and each carries an Empirical Anchor Tier (T1= full machine-checked witness in the dsfb-bank crate, T2 = referenced paperstacknumber, T3 = public-dataset reference, T4 = structural reduction with no empirical claimasserted).The work claims neither universal performance dominance over alternatives nor prior-ity over the well-established underlying primitives of residual analysis, observer theory,statistical process control, runtime verification, change-point detection, set-membershipfault diagnosis, graph signal processing, or causal discovery. The narrower and moredurable claim is architectural: the compositional structure that a deterministic residualsystem must have to produce operator-legible structural meaning under reproducible certification semantics is, up to relabeling, the DSFB composition. The atlas assembles, in one document, the prior-art evidence for that claim across the engineering surfaces where it would otherwise be encountered separately.Keywords. deterministic residual inference; DSFB; Drift–Slew Fusion Bootstrap; prior art;defensive disclosure; fault detection and isolation; observer-based residuals; structuredresiduals; runtime verification; temporal logic monitors; admissibility envelopes; trust-monotone recursion; endoduction; structural semiotics; category theory; terminal object;Yoneda; operator-legibility; reproducible certificates; 35 U.S.C. §102; EPC Article 54.
Riaan De Beer (Sun,) studied this question.