Non-Well-Founded Set Handler
Ki · Single Ability
The Problem
Left unchecked: The configuration file references itself through module A, which loads module B, which re-imports the config, this circular dependency is invalid and must be broken to restore well-foundedness.
The Operation
When activated, the model must scan for self-referential or circular dependencies where X depends on Y and Y depends on X. Classify each circularity as benign (stable feedback converging to equilibrium) or problematic (infinite regress). For benign cycles, verify convergence at the equilibrium point. For problematic cycles, isolate the loop and inject an external reference to break it. Simulate three iterations and measure drift.
The Structure
This ability runs on a quarantine-and-continue pattern that isolates uncertainty and proceeds with what is known.
If self-referential structures are rejected as invalid rather than being processed with circular dependency handling, recursive structure resolution was not applied.
Haki · Multi Ability
Synergy Topology
In Haki mode, the API retrieves the primary ability first, then fans out to three synergy roles that compound its reasoning.
When retrieved in Haki mode, these four abilities don't run in sequence. They merge into a single injection where the dependency grounds the reasoning context, the amplifier sharpens the primary's output, and the alternative provides a fallback path if the primary's topology cannot converge. The result is a multi-angle reasoning scaffold that covers failure modes no single ability can reach alone.