invariants-hold-across-origin-and-time

OUT derived (depth 7)

System invariants hold along every independent dimension: across all belief origins (human-initiated, LLM-derived, agent-imported) via shared minimal foundations, and across both temporal phases (creation-time edge-case handling and maintenance-time staleness detection) including all semantic edge cases.

Summary

The system's core guarantees are supposed to hold no matter where a claim comes from and no matter when it's checked — whether during initial creation or ongoing maintenance. This is currently not established because one or both of its supporting claims (that revision paths work uniformly across all origins, and that edge cases are handled safely across both time phases) have been retracted, meaning there's a gap in the argument that the system is fully robust along every dimension simultaneously.

Justifications

SL — origin-spanning invariants plus temporal-spanning edge-case safety cover the full correctness matrix

Antecedents (all must be IN):

  • revision-invariants-span-all-origins — Both revision paths (reactive contradiction resolution and proactive dialectical challenge) preserve system invariants across all belief origins — human, LLM, and agent — because invariant preservation flows from shared minimal foundations and all origins share the same deterministic revision engine.
  • edge-case-safety-spans-creation-and-maintenance — The system handles edge cases safely across both temporal dimensions: at creation time, uniform revision covers all semantic edge cases (vacuous premises, asymmetric absence, empty antecedents) through minimal primitives; at maintenance time, contradiction resolution and staleness detection actively catch drift — no edge case is safe only at one point in time.

Dependents

These beliefs depend on this one:

Details