import-reconciliation-converges-deterministically
OUT derived (depth 3)
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.
Summary
The import system is claimed to be both thorough and stable — it correctly handles all the messy cases when merging belief networks from different agents, and no matter how many times you re-run the reconciliation process, it always settles to the same result without flip-flopping. This matters because without both properties, importing beliefs between agents could either miss edge cases or get stuck in loops where beliefs keep switching back and forth. However, this claim is currently unsupported because at least one of its foundations — either the completeness guarantee or the convergence guarantee — does not hold.
Justifications
SL — Complete reconciliation without deterministic convergence risks oscillation; convergence without completeness risks missing cases — together they guarantee stable, thorough import
Antecedents (all must be IN):
- import-provides-complete-reconciliation — The import subsystem provides complete reconciliation coverage: heterogeneous truth states are handled correctly on initial load, dual modes support additive import and remote-wins sync for different operational needs, and the colon-based namespace convention with auto-wiring prevents ID collisions across agents.
- all-reconciliation-converges-deterministically — 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.
Dependents
These beliefs depend on this one:
- import-achieves-ordered-convergent-reconciliation — Import achieves correct final state through two reinforcing mechanisms: deliberate ordering discipline (add → propagate → retract) ensures deferred retractions don't corrupt intermediate states, while deterministic convergence (dual reconciliation modes reaching stable states, propagation terminating via fixpoint) ensures the result is unique and reproducible regardless of input ordering within each phase.
- system-converges-from-addition-and-removal — The system reaches deterministic stable states from both directions: import reconciliation converges through fixpoint iteration and dual reconciliation modes when beliefs are added, while retraction cascades terminate through BFS with stop-on-unchanged when beliefs are removed — bidirectional convergence guarantees that no sequence of additions or removals leaves the network in an oscillating or indeterminate state.