all-reconciliation-converges-deterministically
OUT derived (depth 2)
All reconciliation operations converge deterministically to stable states: individual propagation terminates via BFS with stop-on-unchanged, while system-wide operations (sync, dependents rebuild, recompute) all reach idempotent fixed points — the system has no divergent operational paths.
Summary
Every path the system takes to reconcile its state — whether propagating a single change, syncing agents, rebuilding indexes, or recomputing truth values — is guaranteed to finish and land on the same stable result every time. This means you can run any combination of these operations in any order without risk of infinite loops, oscillation, or inconsistent outcomes.
Justifications
SL — Both depth-1 beliefs are currently unused as antecedents; combining individual propagation termination with system-wide operation convergence yields a global stability guarantee
Antecedents (all must be IN):
- critical-operations-converge-to-fixed-points — The system's three critical reconciliation operations are all convergent: agent sync produces no changes on re-run with identical input, dependents index rebuilding yields identical results on repeated execution, and truth recomputation iterates to a fixpoint — ensuring the system reaches stable consistent state regardless of operation ordering.
- propagation-terminates-deterministically — Truth propagation is guaranteed to terminate: BFS prevents stack overflow, stop-on-unchanged prevents oscillation, and fixpoint iteration bounds the outer loop
Dependents
These beliefs depend on this one:
- 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.
- external-ingestion-is-resilient-and-convergent — External belief ingestion achieves end-to-end reliability through two complementary properties: format resilience absorbs syntactic variation at the parsing boundary (dual parser versions, schema migration tolerance, prose-tolerant JSON extraction with defensive layering), while deterministic convergence ensures consistent final state through fixpoint reconciliation regardless of input ordering or repeated application.
- import-reconciliation-converges-deterministically — Import reconciliation achieves both completeness and convergence: dual import/sync modes handle heterogeneous truth states with namespace isolation and topological cycle tolerance (completeness), while all reconciliation operations — individual propagation, agent sync, and global recompute — converge to deterministic fixed points on repeated application (convergence), ensuring that import never introduces oscillation or nondeterminism.