SETTLEMENT MATHEMATICAL LIFECYCLE PROOF MODEL

Current scope: Gest

Category: 10_normative | Version: v1.0.0

Owner: DOCUMENT_CUSTODIAN | Review cycle: 90 days

Approval Authority: GOVERNANCE_ADMIN

Read-only Documentation Portal. Editing and mutation endpoints are disabled.

METADATA INCOMPLETE: Document ID, Version, Status, Owner Role, Last Review Date, Next Review Date, Change Log

SETTLEMENT_MATHEMATICAL_LIFECYCLE_PROOF_MODEL.md

Define a mathematical model for settlement lifecycle validity and provide proof sketches for determinism, safety, and authorization soundness.

Applies to governance-layer settlement reasoning only. The model is ledger-derived and excludes execution-layer side effects.

L = (e_0, e_1, ..., e_n): finite ordered ledger sequence by append index.
sid: settlement subject identifier, sid = <SubjectType>:<SubjectId>.
Intent(L, sid): subsequence of entries where recordType=SETTLEMENT_INTENT and subjectId=sid.
Events(L, sid): subsequence of entries where recordType=SETTLEMENT_EVENT and .