belief-modification-is-bidirectionally-complete-and-traceable
IN derived (depth 5)
Belief modification is complete in both directions: contradictions that create truth changes are resolved through traceable dependency-directed backtracking with consistent nogood IDs, AND defeats that suppress truth values reverse automatically through BFS propagation with surgical restoration hints — no truth change is either irresolvable or irreversible without full traceability.
Summary
When something goes wrong in the system — whether two beliefs contradict each other or one belief gets defeated — the system can fully handle it in both directions. Contradictions get resolved through a traceable backtracking process that leaves an audit trail, and when a defeat is later lifted, everything that was suppressed comes back automatically through a controlled propagation process, with guidance on how to surgically restore affected nodes. Nothing gets permanently stuck or silently lost.
Justifications
SL — Bidirectional completeness — creating and undoing modifications are both complete and traceable
Antecedents (all must be IN):
- contradiction-management-is-complete-and-traceable — The system provides complete contradiction management: the revision pipeline reliably resolves contradictions through outlist defeat and dependency-directed backtracking with guaranteed termination, while nogood resolution maintains a consistent referenceable history of all detected contradictions — enabling both automated resolution and post-hoc forensic analysis of belief conflicts.
- defeat-reversal-is-automatic-with-guided-recovery — All outlist-based defeat mechanisms (challenge, kill-switch, supersession) not only reverse automatically through BFS propagation cascades — recovering all transitively dependent nodes — but also provide surgical recovery guidance through restoration hints that target cascade victims with surviving premises, enabling both automatic and manual recovery paths.
Dependents
These beliefs depend on this one:
- bidirectional-modification-achieves-topology-completeness — Bidirectional belief modification — contradiction resolution through traceable backtracking and defeat reversal with guided recovery — achieves topology-complete truth changes that are robust across all graph states, ensuring both directions of modification propagate through the complete dependency graph including under adverse conditions.