Deterministic verification, TTTPS snapshot quorum seals, and immutable GET citations for formal paper claims.
Each card below is fetched from the vault when this page loads — the statement is the Lean source that the kernel accepted, the hash is of the compiled artefact, and the citation opens the paper in a new tab so you can hold both at once. Nothing here is typed into the page. If a proof were withdrawn, its card would go with it.
Only kernel-standard results appear here: proofs whose axiom footprint is propext, Classical.choice and Quot.sound and nothing else. A proof that reaches for native_decide puts the compiler into the trusted base, so we keep it in the vault but not in the window.
Coverage
Each domain below is a set of Lean 4 contracts: not prose describing biology, but machine-checked properties of the equations clinicians and researchers already use. One representative identity per domain is rendered below; the corpus covers more per domain (see Contracts).
Every module the vault holds, drawn by what imports what. Pick a domain to open
its modules, then a module to read the statements under it. Each statement is fetched from
/v1/klv/theorem as you open it — the same
call, and the same answer, you would get from your own shell.
Fusion energy
K-Lean does not simulate plasma physics — that stays on your AWS HPC cluster (COMSOL, JOREK, NIMROD). What it proves is that the control logic reacts correctly to whatever threshold your simulation hands it: parameterized, kernel-standard, sorry-free.
| Company | Module | What it proves |
|---|---|---|
| Commonwealth Fusion Systems | KLean.Fusion.CFS | Quench detection always engages the dump resistor. |
| Tokamak Energy | KLean.Fusion.TokamakEnergy | Thermal runaway always triggers the emergency power cut. |
| TAE Technologies | KLean.Fusion.TAE | Back-EMF detection always locks out the switch. |
| Helion Energy | KLean.Fusion.Helion | Recovery sync check reports safe iff jitter is within bounds. |
| General Fusion | KLean.Fusion.GeneralFusion | Piston symmetry holds iff every delay is within bounds. |
| Zap Energy | KLean.Fusion.Zap | A shear-flow drop always trips the pinch safely. |
| First Light Fusion | KLean.Fusion.FirstLight | Shockwave sensor sync holds iff every channel is within bounds. |
| Pacific Fusion | KLean.Fusion.Pacific | Driver sync holds iff every module is within bounds. |
| Proxima Fusion | KLean.Fusion.Proxima | An exceeded coil-current vector always trips to emergency. |
| Type One Energy | KLean.Fusion.TypeOne | A flux-surface perturbation always trips the corrective coil. |
| Avalanche Energy | KLean.Fusion.Avalanche | An HV-threshold breach always trips the arc interlock. |
| Focused Energy & Xcimer Energy | KLean.Fusion.Focused | Laser alignment holds iff every beam is within bounds. |
| Realta Fusion | KLean.Fusion.Realta | A detected loss cone always engages the boost current. |
Every threshold above (dI/dt, temperature, jitter, current sum, voltage) is a free parameter in the proof, not a hardcoded number — none of these are formal specs of any real customer's control code.
Developer resources
The reference below is live and interactive, not a static spec. Every request you send here hits the same verified-compute endpoints described below: pass your own inputs, get back a result plus the exact Lean 4 theorem it is checked against.
KLean.WeissmanLNPKinetics.halfLife_pos and companions.
Explore the resources
The kernel is open and the contracts are public, so anyone can recompute what you got. Sealing takes that reproducible result and fixes it to a moment, tamper-evident afterwards. One establishes what is true; the other establishes when it existed. Everything below also works as plain HTTP in the reference.
Checked against the bound proved in Lean 4 for that metric. No key needed, nothing recorded.
Supply your own digest to bind the receipt to a full run record (cohort, model version, fold) without transmitting any of it.
Nothing but this digest is sent. Compute it however you like, for example
sha256sum myfile.txt or
hashlib.sha256(payload).hexdigest().
Creates a timestamped, tamper-evident receipt. This is the only step that writes a permanent record and spends one seal from your quota.
Runs with no key at all, which is the point: whoever you hand a receipt to can re-check it without an account here.
Values you enter are used to answer the request and discarded. Only a SHA-256 digest is stored, and a receipt attests when a result existed and that it has not changed since, not that it is scientifically correct.
Get Access
Register to query the K-Lean corpus. No approval required. Your access token is generated immediately.
No sorry. No axiom beyond the standard three. Ready to query.