Feedback Loop Detector
Ki · Single Ability
The Problem
The temperature control system is in a feedback loop, causing oscillate behavior due to reinforcing tolerance.
The Operation
When activated, the model must identify all feedback loops and map their causal links with estimated delay per link. Compute total cycle time for each loop and classify as reinforcing or balancing. Check for oscillation risk: if loop delay exceeds response time, the system may overshoot. Do not identify feedback loops without analyzing temporal dynamics. If oscillation is detected, isolate the highest-delay link and simulate adding damping. The reasoning applies a formal computation: cycle time = sum(delay per stage); damping ratio = output amplitude n / output amplitude n minus 1.
The Structure
Under the hood, the reasoning follows a cascade propagation where effects ripple through each stage of the analysis. The procedure repeats until diminishing returns trigger an exit.
If a feedback loop is identified without analyzing its delay, oscillation period, or convergence rate, temporal dynamics verification was skipped.
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.