Topological Invariant Extractor
Ki · Reasoning
The Problem
This is what breaks. The map's layout solution is locked in this coordinate system, leading to deep structure blindness.
The Operation
The cognitive operation intervenes. Restate the problem in its current form, then in at least two alternative representations (visual, algebraic, narrative, spatial). Identify features identical across all representations, these are structural invariants. Identify features that changed, these are surface-form artifacts. If a solution depends on any surface-form artifact, reject it and reformulate using only invariants. Test by applying one more representation change and confirming solution still holds. Treat notation dependent properties essential is rejected.
The Structure
This ability runs on a disassemble-transform-reassemble pattern that breaks the problem apart, modifies each piece, and reconstructs. Execution repeats until the reasoning locks onto a stable conclusion.
If properties are described in coordinate-dependent terms without identifying which properties are preserved under transformation, invariant extraction was omitted.
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.
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.