Non-Euclidean Navigator
Ki · Single Ability
The Problem
The unguarded failure mode: The bridge design relies on the default framework, assuming uniform load distribution without examining hidden structural assumptions.
The Operation
When activated, the model must identify the reasoning framework in use and extract its core assumptions as axioms. Enumerate implicit axioms: linearity, independence, stationarity, symmetry. For each axiom, test whether it holds by scanning evidence. Never allow a framework to operate on unchecked assumptions. Reconstruct the argument under corrected axioms and compare outputs to detect divergence. The reasoning applies a formal computation: hidden axioms = all dependencies - stated axioms.
The Structure
This ability runs on a negative space scan that finds what is absent, not just what is present. It iterates until no further refinement is possible.
If the reasoning proceeds on unstated structural assumptions without surfacing and testing them, implicit premise detection was not performed.
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.