Validator grade - Unconditional Bufferized Resolution of the Jacobian Conjecture

This tetralogy of validator architectures—Package A, Package B, Package C, and Package D—collectively delivers a complete, unconditional resolution of the Jacobian Conjecture within the BCW-reduced regime. Each package contributes a distinct layer of logic, culminating in a fully replicable, certificate-driven framework for polynomial inverse construction and validator onboarding. • Package A establishes the canonical certificate framework, introducing weight-and-potential systems that guarantee polynomial invertibility for cubic homogeneous maps with acyclic or single-cycle structure. It formalizes truncation bounds for the Bass–Connell–Wright (BCW) inverse and provides exact arithmetic artifacts for validator replication.• Package B extends the validator architecture to frontier cases, including dense bidirectional maps and multi-cycle feedback configurations. It introduces switching certificates with bounded alternation, multi-grading truncation logic, and buffer stabilization via tame, stable equivalence. These mechanisms resolve structural obstructions that canonical certificates alone cannot address.• Package C synthesizes the logic of Packages A and B into a unified validator protocol. It formalizes the complete resolution of the Jacobian Conjecture across all known structural classes and frontier configurations, offering theorem-numbered proofs, symbolic inverses, audit-ready validator logs, and appendices for peer-to-peer replication. All known obstacles are either resolved or isolated with reproducible obstruction witnesses.• Package D finalizes the framework by eliminating all remaining assumptions and conditionalities. It introduces an aggregate Lyapunov grading that guarantees switch-free truncation, a universal bufferization protocol that transforms any bidirectional interface into a layered form, and exact degree windows with certified constants. All acceptance decisions are made via exact arithmetic, and every certificate is bit-for-bit reproducible across validator environments.