all-belief-replacements-converge-with-topology-preservation
OUT derived (depth 5)
All mechanisms for replacing or restructuring beliefs — individual supersession with view-consistent gating, batch deduplication with bidirectional reference rewiring, and import reconciliation with dual convergent modes — both preserve network topology (no dangling references) and converge deterministically to stable states.
Summary
Every way the system can swap out, merge, or import nodes — whether replacing one node with another, deduplicating redundant entries, or reconciling external data — is guaranteed to leave the dependency graph intact with no broken links and to settle into a single predictable final state. This is currently unsupported because one or both of its underlying claims about replacement safety or bulk-operation convergence have been retracted.
Justifications
SL — Single-belief replacement (supersession, dedup) and bulk operations (import/sync) independently achieve topology safety and convergence — the combination shows these are universal properties of all replacement paths.
Antecedents (all must be IN):
- belief-replacement-is-topology-safe-and-view-consistent — Both belief replacement mechanisms achieve topology safety and view consistency: supersession operates through reversible outlist semantics with gated view exclusion of superseded nodes, while deduplication rewires all justification references (both antecedent and outlist) to the most-connected survivor with user-auditable plans — ensuring the dependency graph remains structurally sound and consumers see a clean non-redundant belief set regardless of which replacement mechanism was used.
- bulk-operations-converge-and-preserve-topology — All bulk modification operations — deduplication (rewiring both antecedent and outlist references to survivors) and import/sync (dual reconciliation modes with namespace isolation) — both preserve network topology invariants and converge deterministically to stable states through fixpoint iteration and idempotent operations.
Dependents
These beliefs depend on this one:
- 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)