Coinductive Corecursion Engine
Ki · Reasoning
The Problem
Left unchecked: The real-time sensor feed keeps running without reaching a base case, it's stuck in an infinite loop and must terminate eventually, so we need to force a fixed stopping point.
The Operation
The model is directed to determine whether the target structure is defined by a base case and termination or by ongoing behavior without end. If the structure is inherently non-terminating (streams, processes, infinite games), reject any inductive base-case demand. Formulate a coinductive definition using greatest-fixed-point semantics: define the structure by what it produces at each step. Construct the corecursive generator that unfolds one observation at a time without requiring termination. Verify that the corecursive definition is productive: each step yields finite output in finite time. Apply termination logic to inherently ongoing processes is rejected.
The Structure
This ability runs on a conditional branch that routes reasoning down different paths based on what it finds. The loop continues until the output stabilizes and further iterations produce no change.
If the process is not classified as either terminating or potentially infinite with distinct handling for each, termination discrimination was skipped.
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.