both-revision-paths-preserve-system-invariants
OUT derived (depth 4)
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.
Summary
The system has two very different ways of changing its mind — one fixes contradictions by pulling out the weakest link, the other permanently upgrades a premise into a justified conclusion through dialectical challenge. Despite working completely differently under the hood, both approaches keep the system's core rules intact. This suggests the safety guarantees are baked into the architecture itself, not dependent on any particular revision mechanism.
Justifications
SL — Two independent revision mechanisms both preserve invariants — safety is structural, not incidental
Antecedents (all must be IN):
- contradiction-resolution-is-lifecycle-safe — 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.
- dialectical-transformation-preserves-semantics — Challenging a premise irreversibly transforms its identity from unjustified to justified node, but the resulting dialectical structure inherits complete outlist semantics — conjunction over multiple outlists, absence-as-OUT permissiveness, and persistence survival — ensuring the transformation preserves well-defined evaluable behavior.
Dependents
These beliefs depend on this one:
- revision-invariants-follow-from-shared-foundations — Both revision paths (reactive contradiction resolution and proactive dialectical challenge) preserve system invariants not through path-specific correctness arguments but because they operate through the same minimal primitives — shared foundations guarantee that any revision entry point inherits the same invariant-preserving behavior.