self-correction-is-topology-accurate-and-convergent
OUT derived (depth 8)
The system's exhaustive self-correction operates on an accurate convergent topology: every correction propagates through complete dependency tracking (including outlist entries) to a deterministic stable state, ensuring no transitively affected node is missed and no oscillation occurs during correction.
Summary
When the system corrects an error, it traces every downstream dependency — including indirect ones — so nothing slips through the cracks, and the correction process always settles to a single stable result without bouncing back and forth. This is currently retracted because one of its foundations (either the exhaustiveness of self-correction or the accuracy of topology tracking) no longer holds.
Justifications
SL — Self-correction exhaustiveness (depth-7) combined with topology accuracy (depth-7) from independent chains guarantees corrections traverse the true dependency graph rather than an approximate or incomplete one
Antecedents (all must be IN):
- self-correction-is-exhaustive-and-sustainable — Self-correction is both exhaustive in coverage (creation-time contradiction resolution via exhaustive derivation and maintenance-time staleness detection) and doubly sustainable (resource-bounded through accurate token budgets and structurally sound through unfragile architecture) — it can operate indefinitely without coverage gaps or resource exhaustion.
- topology-soundness-is-accurate-and-convergent — All topology-modifying operations are simultaneously accurate (complete dependency tracking ensures dedup survivor selection reflects the true graph structure) and convergent (structural modifications exhaust their effects through complete traversal and reach deterministic stable states) — topology is both correctly measured and correctly maintained.
Dependents
These beliefs depend on this one:
- all-corrections-converge-on-accurate-topology — Both intentional corrections (dialectical dispute resolution with complete and reliable challenge/defend) and automated corrections (exhaustive self-correction spanning the full lifecycle) propagate through topology that is simultaneously accurate (complete dependency tracking) and convergent (deterministic stable states), meaning all correction paths — human-initiated and system-driven — reach the same equilibrium through faithful graph traversal.
- self-correction-is-grounded-documented-and-convergent — The system's self-correction simultaneously achieves three independent properties: concretely grounded in source-level integrity verification (fail-safe path resolution, SHA-256 hashing), self-documenting through traceable artifacts (consistent identification across persistence boundaries), and convergent through accurate topology (complete dependency tracking to deterministic stable states).