42CAIN-42 Learn › Deterministic math gates

Learn Deterministic math gates: from zero to expert, then sell it

No AI background needed. Five levels, each with something to actually do, at your own pace. Tick items as you go (your ticks stay in this browser).

Evidence, proof and selling tools for Deterministic math gates

Level 1 Beginner: understand it

Three small engines: FlowGate checks an agent pipeline for cycles and missing steps and gives a safe run order. LiftGate computes the sample size for an A/B test and whether a result is significant. FairGate applies the four-fifths rule to decision outcomes across two groups.

All three are plain maths: no AI, same input, same answer, and anyone can recompute them.

Think of it like this: A calculator you can check with pencil and paper, rather than an opinion.

Read the full plain-English explanation: Deterministic math gates, explained.

I read the explanation above.
I can say what it does in one sentence, without notes.

Level 2 User: see it work

Run it live: open the live demo. Before each result, guess what will happen. These are checks it must pass:

Plan with a cycle: A plan that can never start is invalid.
Straight-line plan: A DAG validates.
Dependency on a task that does not exist: Unknown dependencies are not silently dropped.
Task depends on itself: A self-loop is a cycle.
Duplicate task ids: Two tasks with one name are ambiguous: refused.

I ran the live demo.
I can explain what one of these checks shows.

Level 3 Verifier: prove it yourself

This is the skill that sets you apart: you don't have to believe us, and neither do your customers.

Install Python 3 if you don't have it (python.org/downloads).
Download the kit and unzip it.
Open a terminal in that folder. On Windows, click the folder's address bar, type cmd and press Enter. On a Mac, right-click the folder and choose New Terminal at Folder.
Run python3 verify.py (on Windows, python verify.py). It checks the seal without the internet.
Run python3 verify.py --live. It repeats every check from your own computer.
Try to cheat it: open transcript.json in a text editor, change one character, save, and run python3 verify.py again. It must now say FAIL. Unzip a fresh copy afterward.

I ran the kit's check on my own computer.
I changed a file and saw it fail.

Level 4 Expert: know the edges

An expert knows what a product does not do, and says it first. That is what makes a buyer trust you.

Read its limits page in full: what Deterministic math gates does not do.

You can say

Same input, same answer.
Recomputable by anyone.

Never say

"Legal fairness compliance".
"Full statistical suite": limited alpha and power options.

Read the questions real buyers send, with honest answers: answers to buyer questions.

Test yourself (click a question to see the answer)

Is FairGate legal advice?

No.

Price?

$500 pilot.

In the live check "Plan with a cycle", what answer must come back, and why?

true. A plan that can never start is invalid.

In the live check "Dependency on a task that does not exist", what answer must come back, and why?

false. Unknown dependencies are not silently dropped.

In the live check "Task depends on itself", what answer must come back, and why?

false. A self-loop is a cycle.

Does a passing kit prove the product is safe for every possible input?

No. It proves what the live product answered to the inputs listed in the kit, and lets anyone check that again.

Has an independent party audited or certified this product?

No. No third-party audit is complete and no certification is held. Say so if asked.

I got every quiz question right without looking.
I can name one thing it does not do.
I explained it to a friend, and they understood it.

Want a formal study path? The CAIN Academy has courses and exams. Finishing this page is your own practice; it is not a qualification or certification.

Level 5 Seller: put it in front of a customer

Copy, paste, send: the shortest route, no technical skill needed.
Who buys it and where to find them.
The sales conversation, then the offer and the close.
The rules: read these before your first message.
Selling tools with this product's evidence built in: pitch, emails, call script, objection answers, one-pager.

I read the rules.
I sent my first personal message.

About money: your share is agreed in writing with FIRME AI CORPORATION before your first message (email vincent@firmeai.com). Nothing here promises income. Most messages get no reply; that is normal.