propagation-is-topology-complete-and-inconsistency-safe
IN derived (depth 4)
Truth propagation is both topologically complete — reaching all transitively dependent nodes including those connected through outlist entries, not just antecedent references — and safe under graph inconsistency, skipping dangling dependent references with structured warnings rather than crashing, ensuring correct cascading even in networks with imperfect structural integrity such as nodes deleted without full reference cleanup.
Summary
When a belief changes, the ripple effect correctly reaches every downstream belief that needs updating, even ones connected through less obvious dependency paths. At the same time, if the dependency graph has broken links — like references to nodes that were deleted without cleaning up all pointers — the system logs a warning and keeps going instead of crashing. This means propagation is both thorough and robust, so you can trust cascading updates even if the graph has gotten a bit messy over time.
Justifications
SL — Completeness and inconsistency-safety are independent properties that together make propagation production-ready for real-world networks
Antecedents (all must be IN):
- incremental-propagation-is-fully-complete — Incremental truth propagation reaches every node whose truth value should change — including nodes that depend via outlist entries — without requiring periodic full recomputation, because safe terminating BFS traversal operates over a dependents index that tracks both antecedent and outlist relationships.
- propagation-is-safe-under-graph-inconsistency — Truth propagation achieves correctness even when the dependency graph contains dangling references: missing nodes are skipped with structured warnings rather than crashing, dangling IDs are excluded from both the changed and visited sets, and this graceful degradation composes with the underlying termination and lifecycle-awareness guarantees for all reachable nodes.
Dependents
These beliefs depend on this one:
- all-truth-changes-are-topology-complete-and-robust — All forms of truth change — both cascading propagation and justification addition — achieve topology-complete multi-dimensional consistency under all graph states: truth values, dependents index, and access tags cascade to every transitively dependent node including through outlist connections, even when the graph contains dangling references.
- defeat-reversal-is-topology-complete-with-guided-recovery — Automatic defeat reversal with surgical recovery guidance propagates through topology-complete inconsistency-safe cascades — recovery reaches all transitively affected nodes including outlist-connected ones, handles dangling references gracefully, and provides restoration hints targeting only cascade victims with surviving premises.
- graph-traversal-is-complete-and-terminating-in-both-directions — Both forward truth propagation and backward retraction cascades achieve complete graph traversal (reaching all transitively affected nodes through all relationship types including outlists) with guaranteed termination, ensuring the system converges from both assertion and retraction operations.
- metadata-governance-flows-through-safe-topology — Metadata-carried lifecycle state (retraction flags, stale reasons, access tags) actively governs truth propagation that is itself topology-complete and inconsistency-safe — lifecycle decisions propagate through all transitive dependencies including outlist-connected paths, even in the presence of dangling references, without runtime errors.