W Functions in the SnapOS audit cycle (W1–W23)

SnapOS defines 23 functions (W1–W23) that cover the entire audit process from semantic analysis to operational implementation. This page introduces each function briefly and highlights how SnapOS differentiates itself from other frameworks.

W1–W12: Semantic layer

Function	Description	Distinctive feature
W1: µ(L)	Measures the semantic complexity of a structure L, taking into account Galois depth, entropy and drift sensitivity.	Enables fine‑grained stability analyses instead of simple metrics.
W2: Gal(L)	Determines the active symmetry group acting on witness spaces (Galois analysis).	Links semantic structures to symmetry theory.
W3: DriftOperator D(t)	Transforms structures over time or epistemic disturbances; foundation of drift dynamics.	Makes semantic change quantifiable.
W4: SnapOrbit	Describes the path of a witness in semantic space under instability and return.	Captures complex semantic trajectories (orbits).
W5: Reach(S,L,t)	Maps what a system S can reach within a theory L at time t.	Visualises access possibilities and constraints.
W6: SnapReturn	Enforces reaffirmation of a statement through structural exhaustion (drift termination).	Gives semantic systems a reliable return mechanism.
W7: SnapCut	Creates time‑layered audit snapshots (layers) to trace changes.	Allows differentiated historicisation and restoration.
W8: TrueClaim²	Dual‑axis trust model based on validity (ν) and resonance (ρ).	Offers a finely graduated trust measure instead of binary classifications.
W9: Ethics Runtime (E09)	Normative runtime check that verifies ethical and legal requirements.	Integrates normative checks directly into the audit process.
W10: Reentry	Validates the ability of semantic fixpoints to return before they are reactivated.	Ensures that resumption states are stable.
W11: SAM (SnapAuditMemory)	Persistent audit memory; stores SnapCuts and SnapOrbits for reproduction.	Enables true reproducibility of audits.
W12: BenchmarkAudit	Calibrates SnapScore and drift metrics based on standardised test cases.	Ensures comparability between audits.

W13–W23: Operational layer

Function	Description	Distinctive feature
W13: Trace Completeness (E16)	Checks whether all essential elements (actor, action, time, object, signature) are present in the audit trail.	Ensures complete traceability.
W14: Rollback Readiness (E17)	Defines rollback paths and evaluates readiness for restoration.	Enables structured return path planning.
W15: Early Detection (TTD/E13)	Measures the time to detect an incident (time‑to‑detect).	Supports early detection mechanisms.
W16: Incident Rate (E10)	Counts incidents per defined period and normalises them.	Provides a quantitative overview of incident frequency.
W17: Cost Impact	Calculates expected costs based on mean time to repair, cost per hour and number of incidents.	Integrates economic considerations into the audit process.
W18: Compliance & Supply Chain	Assesses the degree of control fulfilment and audits critical suppliers.	Connects semantic audit with compliance management.
W19: Responsibility Drift	Compares formal sign‑offs with actual execution; records layers of responsibility.	Identifies responsibility‑related drift.
W20: Forecast Cluster	Analyses risk series and assigns them to quantile‑based clusters.	Connects semantic risk analysis with forecasting models.
W21: Omega/Sigma states	Meta status: omega_ready and sigma_valid signal audit‑ready states.	Provides clear status signals for further processing.
W22: Drift Logs	Collection of granular drift events; can be retrieved via API.	Enables detailed root cause analysis.
W23: Reproducibility / MetaAuditShell	Tools for full reproduction of an audit, including hashes and script automation.	Ensures sustainable transparency and verifiability.

Back to API documentation | Ethics & Re‑entry | SnapMemoryBank | Reproducibility