ABAbstractionID: AB-033

Non-Well-Founded Set Handler

Ki · Reasoning

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 · Reasoning-Multi

Cross-Domain Suppression

In Haki mode, the API retrieves the primary ability first, then fans out to three synergy roles that compound its reasoning.

PrimaryAB-033Non-Well-Founded Set Handler

When retrieved in Haki mode, the primary ability is augmented with failure guards extracted from 3 abilities in different cognitive domains. Each guard blocks a specific reasoning failure the primary alone wouldn't catch. A self-check forces verification before output. The result is cross-domain coverage that no single ability can reach alone.