topology-soundness-is-accurate-and-convergent
OUT derived (depth 7)
All topology-modifying operations are simultaneously accurate (complete dependency tracking ensures dedup survivor selection reflects the true graph structure) and convergent (structural modifications exhaust their effects through complete traversal and reach deterministic stable states) — topology is both correctly measured and correctly maintained.
Summary
When the system changes its network structure — merging duplicate nodes, retracting chains of reasoning, or replacing one belief with another — the result is both correct and stable. Every connection is tracked completely enough that structural decisions like which duplicate to keep reflect the real shape of the graph, and every change propagates fully so the network always settles into a consistent final state without leftover dangling references or half-finished updates. This is currently marked as unsupported, meaning one or both of those guarantees may not hold right now.
Justifications
SL — Complete dependency tracking and structural exhaustiveness jointly ensure topology soundness
Antecedents (all must be IN):
- dependency-completeness-enables-accurate-dedup — Complete dependency tracking for all reference types — both antecedent and outlist entries maintained eagerly by every network mutation — ensures deduplication accurately reflects the complete network topology: survivor selection considers all incoming dependencies including outlist references, and reference rewiring targets both antecedent and outlist positions across all justifications, preventing dedup from creating dangling references or miscounting dependents.
- structural-modifications-exhaust-topology-and-converge — All structural modifications to the belief network — additions, retractions, replacements, and bulk operations — both exhaust their effects through complete bidirectional graph traversal (reaching all transitively affected nodes in forward propagation and backward retraction) and converge to stable states with network topology fully preserved (all antecedent and outlist references correctly rewired)
Dependents
These beliefs depend on this one:
- 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.