Quadrant Shifting

Stage 5Compound

The Verification Quadrant is not destiny. Capital investments can move tasks to better positions. These are the five moves that change where a task sits on the grid.

Start with a scenario

Drag the before-dot to reposition the task. Pick a shift below to see where it moves.

The Grid

Select an investment type below to see how it shifts tasks on the quadrant.

Verification Difficulty →

Verification Trap

Do Not Automate

Automate Now

AI Sweet Spot

Calculation Difficulty →

The Five Moves

The Capital Allocation Frame

Each of these five moves is a capital investment. The same questions you would ask about buying a machine apply here:

NPVWhat is the present value of all future labor savings minus the investment cost? Example: a verifier that saves 40 hours/week at $50/hour is worth $104k/year before discounting.

DEPRECIATIONModels depreciate (distribution shift, competitive catch-up). But verifiers and data moats can appreciate - each failure case makes them smarter. The net rate determines whether this is a wasting asset or a compounding one.

RISK-ADJUSTEDThe Dollarized Confusion Matrix gives you the variance. High cost asymmetry means high variance in outcomes. Risk-adjusted return = E[NPV] - λ × Var[NPV].

MOATWhat does it cost a competitor to replicate your position? Models: low moat (commodity). Data from operations: high moat. Custom verifiers encoding institutional knowledge: highest moat.

DUAL CURVEPhysical assets depreciate. Knowledge assets have a dual curve: the model depreciates (like a truck) but the data and verifiers appreciate (like land under the depot). Invest in the appreciating side.

The Decision Sequence

These tools form a workflow:

1.DIAGNOSE - Plot the task on the Verification Quadrant. Calculate the Templeton Ratio.

2.CALIBRATE - Use the Dollarized Confusion Matrix to set the right threshold from error costs.

3.INVEST - Choose which shift moves the task to a better quadrant. Evaluate the investment using capital allocation math.

4.VALUE - Calculate the NPV of the automation to compare against physical alternatives. Same math, different asset class.

When to Use This

Use when

+A task sits in a hard quadrant and you are willing to spend capital to move it
+You can estimate the cost of reducing calculation or verification difficulty
+Task volume is large enough to pay back the shift investment
+You are choosing between making the task easier vs trying harder at it

Skip when

-The task is already in the sweet spot - no shift is needed
-Shift cost exceeds the NPV of the shifted task (run Automation NPV first)
-The difficulty is intrinsic (adversarial input, ambiguous ground truth)
-You have not yet diagnosed the quadrant (use Verification Quadrant first)

Rosetta Stone

Four circles, four readings of the same object. Each role reads the artifact through its own lens.

Allocator

CapEx for OpEx leverage. Spend once on a verifier or a constraint; the task moves to a cell where automation has positive NPV forever after.

Operator

The move where you invest in tooling so next quarter's version of the same decision is cheaper. Makes the work easier to scale without growing headcount.

Builder

Building the test infrastructure, the constraint language, the decomposition, the rubric. Each move shifts a stubborn task into a cell you can actually automate.

Scientist

A structural intervention on the cost function. Instead of optimizing over the existing quadrant, you change which quadrant the task occupies - a change of measure in cost-space.