all-corrections-converge-on-accurate-topology
OUT derived (depth 9)
Both intentional corrections (dialectical dispute resolution with complete and reliable challenge/defend) and automated corrections (exhaustive self-correction spanning the full lifecycle) propagate through topology that is simultaneously accurate (complete dependency tracking) and convergent (deterministic stable states), meaning all correction paths — human-initiated and system-driven — reach the same equilibrium through faithful graph traversal.
Summary
Whether a correction comes from a human challenging a claim or from the system automatically fixing an inconsistency, both paths follow the same dependency graph and arrive at the same final state. This means the system does not behave differently depending on how an error is caught — all roads lead to the same corrected outcome.
Justifications
SL — Dispute resolution and self-correction are independently established as topology-accurate and convergent; their union means NO correction mechanism in the system can diverge or miss transitively affected nodes.
Antecedents (all must be IN):
- dispute-resolution-is-topology-accurate — Both dispute resolution mechanisms — intentional dialectical challenge/defend and automated contradiction resolution — propagate their effects through an accurate convergent topology with complete dependency tracking, ensuring every transitively affected node reaches its correct truth state after any dispute.
- self-correction-is-topology-accurate-and-convergent — The system's exhaustive self-correction operates on an accurate convergent topology: every correction propagates through complete dependency tracking (including outlist entries) to a deterministic stable state, ensuring no transitively affected node is missed and no oscillation occurs during correction.
Dependents
These beliefs depend on this one:
- knowledge-equilibria-are-correction-convergent-and-topology-accurate — Knowledge growth converges to negation-transparent equilibria with complete propagation fidelity, where every correction that shapes that convergence operates on accurate topology — dependency completeness ensures corrections propagate through the true graph structure, not an approximation.
- topology-accurate-self-correction-is-quality-complete — Self-correction achieves quality completeness on accurate convergent topology — every correction is grounded, documented, convergent, evolution-tolerant, and propagates through complete dependency tracking to deterministic stable states.