contradiction-resolution-achieves-minimal-impact-complete-cascades
IN derived (depth 4)
Contradiction resolution simultaneously achieves minimal disruption (least-entrenched culprit selection with surgical recovery hints targeting only cascade victims) and complete effect propagation (retraction cascades transitively through all dependent nodes with guaranteed termination) — the system minimizes blast radius while ensuring no node escapes the cascade.
Summary
When a contradiction is found, the system picks the least important conflicting premise to retract, then propagates that retraction through every node that depended on it — no matter how deep the chain — while guaranteeing the process always terminates. This gives you the best of both worlds: the smallest possible disruption to the rest of the network, paired with certainty that nothing slips through the cracks and keeps relying on a retracted foundation.
Justifications
SL — Minimal-disruption culprit selection feeds into transitive terminating cascades
Antecedents (all must be IN):
- contradiction-resolution-minimizes-disruption-and-guides-recovery — Contradiction resolution achieves both minimal impact and guided recovery: dependency-directed backtracking selects the least-entrenched culprit premise to minimize the retraction cascade, while restoration hints identify specific cascade victims that have surviving alternative premises — providing a complete resolve-and-recover pipeline
- retraction-cascade-is-transitive-and-terminating — Retraction cascades are both transitive in reach (propagating OUT to all transitively dependent SL-derived nodes, not just direct children) and guaranteed to terminate safely (BFS prevents oscillation, retracted nodes are skipped, and the cascade stops when no truth values change) — ensuring thorough impact without risk of runaway propagation.