system-is-self-sustaining-auditable-and-invariant-complete
OUT derived (depth 12)
The system simultaneously achieves three ultimate properties: self-sustainability through minimality's fixed-point, comprehensive invariant preservation, and complete operational auditability for every maintenance action — a single closed architecture that maintains itself, preserves all guarantees, and traces every action.
Summary
This is the grand unification claim — that the system achieves self-maintenance, invariant preservation, and full auditability all at once, as a single closed architecture rather than three separate properties bolted together. It is currently marked OUT, meaning one or both of its supporting claims (that self-maintenance is fully auditable, and that the system is both self-sustaining and invariant-preserving) have been retracted or undermined, so this combined property does not currently hold.
Justifications
SL — The two depth-11 apex properties are independently established along orthogonal quality dimensions (auditability vs. invariant preservation); their conjunction characterizes the complete system.
Antecedents (all must be IN):
- self-maintenance-is-fully-auditable — The fully characterized self-maintaining loop provides complete operational auditability: every self-correction, maintenance action, and belief revision leaves traceable history across all belief origins and correction types — conditional on propagation soundness guaranteeing that cascade effects are faithfully recorded.
- system-is-self-sustaining-and-invariant-preserving — The fully characterized self-maintaining loop not only sustains its own operation through minimality's fixed-point property but also comprehensively preserves all system invariants through both temporal coverage (revision loops) and structural coverage (architectural grounding).
Dependents
These beliefs depend on this one:
- system-properties-are-indefinitely-maintained — The system's three ultimate properties — self-sustainability, comprehensive auditability, and complete invariant preservation — extend beyond external beliefs to unlimited temporal scope: resource-sustainable self-correction within a deterministic lifecycle ensures these properties hold not just now but indefinitely, provided propagation correctness is maintained.
- system-properties-extend-fully-to-external-beliefs — The system's three ultimate properties — self-sustainability through minimality's fixed-point, comprehensive auditability through fully-characterized maintenance, and complete invariant preservation — extend fully to externally-sourced beliefs through self-sustaining invariant preservation that dynamically encompasses external beliefs as first-class participants.