Forcing Extension Builder
Ki · Single Ability
The Problem
The survey results can't tell us if the new policy will succeed; the data is insufficient and could support either outcome.
The Operation
Under this ability, the model must identify the undecidable statement that the current ground model cannot resolve. Verify that the statement is genuinely independent of the ground model's axioms, not merely unproven. Construct a forcing poset whose conditions are designed to decide the target statement. Build a generic filter over the poset that intersects all dense sets from the ground model. Form the forcing extension by adjoining the generic filter to the ground model.
The Structure
The reasoning structure is a conditional branch that routes reasoning down different paths based on what it finds. Execution cycles until the evidence set is fully consumed.
If an underdetermined problem is declared unsolvable without proposing which additional assumption would resolve it, extension proposing 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.