Compliance Tensor

Origin

Compliance is the discipline most reliably reduced to soft prose. Every regulator publishes prose; every compliance officer paraphrases it; the result is approximate, opinionated, and impossible to compare across jurisdictions. A serious engineering treatment forces a different shape.

Problem

What's needed is a representation in which compliance facts compose: a bounded lattice over regulatory domains so that meet-and-join give honest answers; a weighted jurisdictional graph so Dijkstra routes the cheapest compliant path; and an attestation system that records who said what when, in W3C-standard form.

Approach

Bounded lattice algebra over regulatory domains. Each entity is a point in a high-dimensional regulatory space. Dijkstra routing runs on a weighted jurisdiction graph with asset-class-specific weight modifiers; the engine returns the optimal path plus alternatives and self-improves from outcome data — success drops the weight, failure raises it. Every compliance state sits at one of three lattice points (Pending, Compliant, NotApplicable) with meet-and-join defined and a sheaf-theoretic local-to-global structure for cross-jurisdiction composition. W3C Verifiable Credentials carry every attestation; hash-chained passports prevent post-commitment edits.

Methodology

Hundreds of compliance facts across the full jurisdiction matrix, partitioned across regulatory domains. Compliance-state entries carry explicit cost, duration, and complexity. Mutual Recognition Arrangements between jurisdictions are first-class objects in the graph, which is how the cheapest international corridors emerge. The substrate is purely relational; adding a new jurisdiction is data, not code. The API exposes the engine as a service through tiered pricing.

Selected milestones

• Full jurisdiction matrix populated across the regulatory domains in scope
• Production routing graph with weighted corridors and asset-class modifiers
• Engine deployed at the database layer; API surface ready for white-label
• End-to-end testing across worked corporate structures with multi-state employee footprints
• Cheapest international corridor surfaced through Mutual Recognition pathways

Open questions

• How fact-provenance weights should evolve when regulators publish conflicting guidance
• Whether the lattice should accept partial-confidence facts or refuse them
• What the right pricing curve is for jurisdiction-pair queries vs. single-jurisdiction

Ask me about

• Why a lattice and not just a hierarchy
• What the Dijkstra weights actually represent
• How attestations are issued and verified end-to-end
• What the four-tier pricing actually buys

Stack