all-truth-changes-are-topology-complete-and-robust
IN derived (depth 5)
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.
Summary
Whenever the system updates what's true — whether a change ripples through a chain of dependencies or a new justification gets added — every affected node in the entire graph gets properly updated, no matter how complex the connections are. This holds even when the graph is messy, like when nodes have been deleted without cleaning up all their references; the system handles those gracefully instead of crashing, so you can trust that the graph stays consistent without needing perfect structural hygiene.
Justifications
SL — Topology-complete propagation + robust justification addition → universally robust truth changes
Antecedents (all must be IN):
- propagation-is-topology-complete-and-inconsistency-safe — 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.
- justification-addition-is-robust-across-graph-states — Adding a justification to an existing node achieves fully consistent multi-dimensional propagation — truth values, dependents index, and access tags — even when the dependency graph contains dangling references or lifecycle-marked nodes, because propagation safely handles both graph anomalies and node lifecycle states.
Dependents
These beliefs depend on this one:
- all-state-transitions-are-topology-complete-and-traceable — Every belief state transition is simultaneously deterministic with traceable history (through structured diffs and consistent artifact identification), topology-complete (reaching all transitively dependent nodes including outlist-connected ones), and robust under graph inconsistency (dangling references are safely contained) — the system never produces a state change that is untraced, incomplete, or fragile.
- bidirectional-modification-achieves-topology-completeness — Bidirectional belief modification — contradiction resolution through traceable backtracking and defeat reversal with guided recovery — achieves topology-complete truth changes that are robust across all graph states, ensuring both directions of modification propagate through the complete dependency graph including under adverse conditions.
- metadata-governance-has-topology-complete-propagation — The rich lifecycle state carried in metadata — retraction flags, stale reasons, access tags — participates in topology-complete robust propagation that reaches all transitively dependent nodes under all graph conditions, ensuring lifecycle governance decisions cascade completely through the network rather than stopping at direct dependents.