From Structural Leaves to Measurable Compliance Atoms: URAF-10 2/2

Stage 1 of URAF 10 reveals the structure of law. Stage 2 makes that structure measurable. This paper presents the conceptual foundations of Stage 2, which transforms the atomic Leaves produced by Stage 1 into Deterministic Compliance Atoms
(DCA-7) fully quantified, machine-verifiable compliance units. Each DCA-7 atom encodes not merely what is required, but how compliance can be objectively evaluated, what risk domain is implicated, what time constraints apply, and how the obligation interacts with others in the same regulatory corpus. The aggregate of all atoms forms a Compliance Graph: a navigable, queryable representation of the regulatory landscape of an instrument [OECD, 2024, WEF, 2024]. This paper expands the conceptual model of Stage 2 into a full academic treatment, including related work, methodological framing, formal definitions, examples, discussion, and implications for computational law, RegTech, and commercial auditing. No implementation details are disclosed but Software is developed and ran test cases!