Adjunction Detector
Ki · Reasoning
The Problem
The algorithm claims to convert Celsius to Fahrenheit without considering the inverse transformation back to Celsius.
The Operation
The model is directed to identify two abstract domains connected by a pair of mappings (functors) going in opposite directions. Check the adjunction condition: verify whether a natural bijection exists between hom-sets of the two domains. If adjunction holds, label the left adjoint (free construction) and right adjoint (forgetful projection). Extract the universal property that the adjunction guarantees for every object in both domains. Replace any brute-force cross-domain search with the universal property lookup.
The Structure
This ability runs on a bidirectional verification that checks conclusions from both directions.
If a forward transformation is defined without checking whether a meaningful reverse operation exists, reversibility verification 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.