contradiction-resolution-is-lifecycle-safe
IN derived (depth 3)
When contradictions are detected, the entire resolution pipeline respects node lifecycle: backtracking identifies the least-entrenched culprit premise deterministically, retraction cascades through BFS propagation that skips retracted nodes and stops on unchanged truth values, ensuring resolution terminates without disturbing lifecycle-inert nodes.
Summary
When the system finds a contradiction, the process of fixing it is guaranteed to be safe and predictable. It picks the weakest contributing assumption to retract, spreads that change through the network in an orderly way, and stops cleanly without accidentally disturbing unrelated parts of the system. This combines two properties: contradiction resolution follows a deterministic pipeline, and the propagation mechanism itself respects node states and always terminates.
Justifications
SL — Deterministic culprit identification feeds into lifecycle-aware propagation — resolution never touches retracted nodes and always terminates
Antecedents (all must be IN):
- contradiction-triggers-deterministic-resolution — When contradictions are detected, resolution and propagation form a deterministic pipeline: backtracking identifies the least-entrenched culprit premise, retraction triggers BFS propagation that terminates via stop-on-unchanged, producing a new consistent state with minimal network disruption and guaranteed convergence.
- propagation-is-safe-and-terminating — Truth propagation is both lifecycle-safe and guaranteed to terminate: retracted nodes are skipped, trigger nodes are never recomputed, BFS prevents stack overflow, and stop-on-unchanged prevents oscillation — propagation respects every node state it encounters.
Dependents
These beliefs depend on this one:
- both-revision-paths-preserve-system-invariants — Both forms of belief modification — reactive contradiction resolution (backtracking to least-entrenched premise, skipping retracted nodes) and proactive dialectical challenge (irreversible premise transformation with inherited outlist semantics) — preserve system invariants despite operating through fundamentally different mechanisms, confirming that invariant preservation is architectural rather than mechanism-specific.
- revision-is-lifecycle-safe-and-semantics-preserving — Both revision entry points — reactive contradiction resolution (backtracking to least-entrenched premise, skipping retracted nodes) and proactive dialectical challenge (outlist injection preserving evaluation semantics) — respect node lifecycle and preserve semantic consistency despite operating through different mechanisms.
- self-correction-spans-creation-and-maintenance — The system self-corrects along both temporal axes: it detects and resolves active contradictions through lifecycle-safe backtracking at derivation time, and it detects and flags source material drift through conservative staleness checking over a belief's lifetime — ensuring beliefs are correct both when first derived and as their evidential basis evolves.