A researcher‑facing companion document and technical module that distill the conceptual machinery from Primitive Sets and von Mangoldt Chains into a deterministic, invariant, layer‑respecting chain engine within the ReGenesis framework. The companion paper explains the original method, the structural insights gained, and the rationale behind removing analytic dependencies, while the module provides a fully specified implementation of the extracted engine. Together, they form a complete conceptual and technical foundation for studying primitive sets, divisibility posets, and chain‑based bounding methods in a generalised, system‑agnostic setting. A complete AI‑ready pseudocode drop‑in prompt is supplied courtesy of the author, enabling direct operational use of the ReGenesis engine. Contact: For enquiries or research questions related to this work, email matthewcarlo.research@gmail.com
Matthew Arthur Carlo (Fri,) studied this question.