PROOF CRICKET / EXACT ARITHMETICSkip intro ↗

A synthetic calculation · follow the evidence backward

A candidate is a question.

Candidate C
233−2
Recompute C[2,2]

2 × 0 + (−1) × 3

= −3 ≠ −2

Start with the proposed result.

Proof CricketCheck every step.
01 / Candidate → 02 / Recompute → 03 / Locate10-second opening
Proof Cricket

The exact arithmetic workbook / No. 01

Check every step.

Bring a candidate. Follow the calculation. Find the first mismatch.

Rational arithmetic
Two finite templates. Zero rounding.
WORKBOOK / LOCALYour inputs stay in this browser.
01

Your inputs

One row per line. Separate entries with spaces or commas. Up to 6 × 6.

m × n
n × p
m × p

Exact integers or fractions, e.g. −2 or 1/3. Use a keyboard minus (-). No decimals. Maximum 40 digits per numerator or denominator.

02

Derivation chain

Evidence starts with inputs.

Enter your matrices, or load a clearly labeled example. Each term will point back to its source.

OperandsProductsExact sum
03

The verifier

Not checked

No result yet. Verification starts when you check a calculation.

Exports include the inputs and every exact operation. They can be recomputed independently.

FINITE BY DESIGN

Checks these calculations only. No AI generation. No general theorem proving.

What counts as a check?

Small scope.
Visible reasoning.

01 / MATRIX PRODUCT

Rows meet columns.

For every output cell, multiply the corresponding row and column entries, then sum exactly. Dimensions must agree. The first mismatch follows row order.

Cᵢⱼ = ∑ₖ Aᵢₖ Bₖⱼ

02 / POLYNOMIAL PRODUCT

Match every coefficient.

Multiply coefficients by degree and collect like powers. Equality holds when every coefficient agrees. No sampled points, no floating-point tolerance.

rₖ = ∑ᵢ₊ⱼ₌ₖ pᵢ qⱼ

A workbook that can travel.

The proposed Proof Cricket application token is intended for portable access to exact-calculation template services and contribution records for shared workbooks across participating apps.

Those services and token contracts are not connected. Local checks and file exports are free to use without a wallet. No token has been issued; the need for a token beyond ordinary service accounts remains to be validated.

Shared workbook registry

SOON

Publishing requires a hosted registry, portable access controls, and a reviewed contribution protocol. These services are not connected.

Your local calculation is preserved. Export its proof record to move it between browsers today.