How it works

Proof,
not prediction.

AI can search. Schematic only certifies a result after it passes a fixed, deterministic mathematical check.

SOFTWARE MATHEMATICS VERIFIED

What Verified means

The result comes
with an audit trail.

Search may be probabilistic. Certification is not. Every Verified result is tied to the exact claim, scope, assumptions, and revision that were checked.

01 / THE FINAL DECISION

Lean checks the proof.

Lean is a programming language and interactive theorem prover. Its small checking kernel accepts a proof only when it follows from explicit rules and stated assumptions.

SEARCH Candidate proof Pending verification

LEAN

PROOF CHECKERAccept or reject

THE BOUNDARY

Search may fail to find a proof. It cannot make Lean accept one that does not check.

SCHEMATIC · VERIFICATION CERTIFICATE Verified

CLAIM Restricted actions require approval

VERIFICATION RECORD cert_a31 SEALED

Scope: All entry points
Revision: 9f72c1
Assumptions: 4 recorded
Checked by: Lean 4

Verification record sealed with certificate Audit trail preserved

The certificate binds the Verified result to the exact claim, scope, assumptions, and software revision it covers. This preserves a controlled audit trail without exposing proprietary implementation details.

02 / WHEN SOFTWARE CHANGES The result never drifts away from the software.

Each certificate names the revision it covers. If relevant code or assumptions change, Schematic re-establishes the claim for the new revision and issues a new certificate.

REVISION9f72c1 VERIFIED

→

CHANGEbc18e4RECHECK CLAIM

→

NEW CERTIFICATEcert_a31 VERIFIED

Evidence

Don’t take our
word for it.

Real software, concrete counterexamples, and results you can inspect.

OPEN-SOURCE SUPERTEST STUDY

Nine libraries.
135 generalized laws.

Across pinned versions of open-source C, Rust, and Python libraries, repeated test families were consolidated into stronger laws while boundary and regression tests stayed explicit.

Review the study

PINNED LIBRARIES9C · Rust · Python

GENERALIZED LAWS135Across selected test families

FEWER TEST LINES17,87235,468 → 17,596

MEASURED REDUCTION50.4%With boundaries retained

WHAT WE ARE MEASURING NEXT Evidence that tests the promise.

01 AUDIT READINESS

Verification records ready for review.

Measure whether each certificate preserves the claim, scope, assumptions, revision, and final result required for an authorized audit.

02 COUNTEREXAMPLES

Failures missed by existing checks.

Measure exact counterexamples found beyond unit tests and AI-only review.

03 ACROSS REVISIONS

Guarantees maintained through change.

Track claims re-established and regressions caught as the software evolves.

04 RESEARCH RESULTS

Published work, formally checked.

Connect results to their original paper, exact statement, and sealed verification record.

MEASURED, NOT ESTIMATED Benchmarks include the dataset, baselines, and method alongside the result.

Put it to proof

What would you prove?

Explore Pup Explore Quill

Proof, not prediction.

The result comeswith an audit trail.