Polski: Back to Math Lab

NPA / Certificate-first proof checking

Polski: NPA: expose the proof evidence boundary before trusting a result.

Polski: This page reconstructs the NPA section from Math Lab as an independent evidence page: public status, trust model, proof pipeline, claim register, repositories, sources, and explicit non-replacement language.

Status publiczny
Repository badawcze
Polski: Shown as research and implementation, not as a production assurance service.
Publiczna ponowna kontrola
2026-07-02 / NPA v0.2.0
Polski: Latest git tags checked: npa v0.2.0, npa-std v0.1.0, npa-mathlib v0.1.30.
Licencja
Apache-2.0
Polski: Apache-2.0 was verified for npa, npa-std, and npa-mathlib on 2026-07-02.

Polski: Public recheck: 2026-07-02. The NPA repository latest git tag is v0.2.0; npa-std is v0.1.0; npa-mathlib is v0.1.30. Package README pins are shown as repository-specific context and are not flattened into one NPA version claim.

Polski: NPA evidence page preview showing certificate checking and trust-boundary inspection
Polski: The visual is a static preview of the certificate-checking result and trust-boundary explanation. It is not a live NPA trace.

Public status

Polski: State what is public, what is evidence, and when it was rechecked.

Polski: This page makes the page's basis visible: a local truth snapshot, a public repository source, and the final prelaunch readback date.

Status publiczny

Polski: Research and implementation repository

Polski: The GitHub repository is public, but this page describes a research and implementation repository, not a deployed service.

Public recheck

2026-07-02

Polski: The public-source readback was completed on 2026-07-02. The original source reconstruction still uses the 2026-06-21 local truth snapshot.

Evidence

Certificates and hashes

Polski: The source snapshot records canonical .npcert, certificate_hash, export_hash, axiom_report_hash, and checker verdicts.

License

Apache-2.0 verified

Polski: Apache-2.0 was verified for npa, npa-std, and npa-mathlib through public LICENSE metadata on 2026-07-02.

Boundary

Polski: NPA is not a practical replacement for Lean or Rocq. The distributed browser inspection simulation does not run NPA itself. Public tags, license, and repository visibility were checked on 2026-07-02 for the final publication readback.

Trust boundary

Polski: Move only a canonical certificate across the evidence boundary.

Polski: The boundary is not about which tool looks sophisticated. It is about which artifact is allowed to become evidence after independent checking.

Polski: Parser, elaborator, tactics, automation, theorem search, plugins, AI systems, source files, replay files, theorem indexes, publish plans, CI status, release pages, and registry metadata stay on the untrusted candidate side.

Polski: Proof pipeline / explanatory simulation

Polski: Show the exact pipeline from certificate bytes to checking evidence.

Polski: The browser simulation does not run NPA itself, Rust, WASM, or real proof certificates. It visualizes the source-free checking order that real artifacts must satisfy.

CLI evidence path

npa package verify-certs --root . --checker reference --json
NPA / audit trace READY
  1. 01 Certificate formatcanonical .npcert bytes / parseable certificate / format check WAIT
  2. 02 Certificate hashcertificate bytes / certificate_hash / deterministic digest WAIT
  3. 03 Kernel verdictcertificate / accept or reject / Rust verifier report WAIT
  4. 04 Reference checkerhash-pinned certificate / independent accept or reject / source-free checker report WAIT
  5. 05 Axiom reportchecked package / axiom_report_hash / assumption inventory WAIT

Verdict

Polski: The explanatory pipeline has not run yet.

Polski: Run the explanation to mark the source-free checking path in order.

Claim register

Polski: Separate evidence, time-sensitive facts, and boundary claims.

Polski: The page does not depend on loose research copy. Each public statement is tied to a local truth snapshot, a source, and a publication action.

Polski: ClaimPolski: Public wordingStatusPolski: SourcePolski: Publication action
CL-001 Polski: NPA is certificate-first: the auditable boundary is the canonical .npcert artifact and the checking path around it. Polski: Verified public claim S01 / 2026-07-02 Polski: Review when the README changes.
CL-002 Polski: The 2026-07-02 public recheck found the NPA repository latest git tag at v0.2.0. Related package READMEs still show repository-specific pins, so version wording stays scoped by repository. Polski: Verified public recheck S01 / S02 / 2026-07-02 Polski: Keep tag wording scoped by repository.
CL-003 Polski: The local truth snapshot records a Rust 1.95.0 toolchain pin; it is not used as a marketing claim. Polski: Verified, time-sensitive S01 / 2026-07-02 Polski: Recheck if the toolchain version is displayed.
CL-004 Polski: NPA is not a practical replacement for Lean or Rocq. This boundary must stay visible beside any comparison. Polski: Verified boundary claim S01 / S03 / S05 / 2026-07-02 Polski: Retain the disclaimer.
CL-005 Polski: npa-std and npa-mathlib are separate public theorem-package repositories in the finitefield-org organization. Polski: Verified public claim S01 / S02 / 2026-07-02 Polski: Recheck repository visibility again if publication is delayed or repositories change.
CL-006 Polski: The npa, npa-std, and npa-mathlib repositories each expose Apache-2.0 licensing through their public LICENSE metadata. Polski: Verified public claim S01 / S02 / 2026-07-02 Polski: Recheck LICENSE on a major release.

Repositories and license

Polski: Keep code, package repositories, and organization visibility explicit.

Polski: Repository links are public-source pointers, not guarantees that the current page is synchronized with the latest GitHub state.

4 Polski: repositories shown

finitefield-org

npa

Polski: Certificate-first proof assistance and verification toolchain.

License
Polski: Apache-2.0 verified from LICENSE on 2026-07-02.
Verification
Latest git tag: v0.2.0. No latest GitHub release is published. README current toolchain reference: NPA_GIT_TAG=v0.2.0.
experimentalRust / OCamlcertificate-first
Polski: Open repository

finitefield-org

npa-std

Polski: Standard theorem package repository for NPA proof sources.

License
Polski: Apache-2.0 verified from LICENSE on 2026-07-02.
Verification
Polski: Latest git tag and GitHub release: v0.1.0. README package metadata version: 0.1.0; package toolchain pin: NPA_GIT_TAG=v0.1.1.
experimentaltheorem packageproof source
Polski: Open repository

finitefield-org

npa-mathlib

Polski: Formal mathematics library research repository.

License
Polski: Apache-2.0 verified from LICENSE on 2026-07-02.
Verification
Polski: Latest git tag: v0.1.30. Latest GitHub release: v0.1.9. README package metadata version: 0.2.1; package toolchain pin: NPA_GIT_TAG=v0.1.1.
researchformal mathematicslibrary
Polski: Open repository

finitefield-org

Finite Field GitHub organization

Polski: Public organization snapshot for the Lab repository family.

License
Polski: Repository-specific licenses apply
Verification
Polski: npa, npa-std, and npa-mathlib are public as of the 2026-07-02 GitHub API readback.
public indexvisibility snapshotsource
Polski: Open organization

Polski: The GitHub repositories are the source for public code status. License, current tags, public visibility, and release wording were checked on 2026-07-02 as the M10-T14 final readback.

Proof ecosystem guard

Polski: Clarify roles before comparing proof tools.

Polski: This is a role table, not a ranking. Lean and Rocq remain the reference proof-assistant ecosystems; NPA is presented as certificate-centered research and implementation work.

Polski: ItemLeanRocqNPA
Polski: Position Polski: Open-source programming language and proof assistant. Polski: Interactive theorem prover with a long research history. Polski: Research and implementation repository for certificate-first checking.
Polski: Typical use Polski: Mathematics, software verification, and programming. Polski: Mathematics, specifications, program verification, and extraction. Polski: Research into proof certificates, independent checking, and a small trusted base.
Polski: Evidence boundary Polski: Its own trusted kernel and ecosystem define the checking boundary. Polski: Its own kernel and checked developments define the checking boundary. Polski: The canonical .npcert artifact crosses from generation into checking.
Polski: How this page treats it Polski: Reference for learning, comparison, and interoperability. Polski: Reference for learning, comparison, and formalization methods. Polski: Finite Field research project, not a product promise.
Polski: Boundary Polski: Specialist knowledge is still required. Polski: Specialist knowledge is still required. Polski: NPA is not a practical replacement for Lean or Rocq at this time.

FAQ

Polski: NPA status and verification boundaries.

Polski: The answers emphasize the trust boundary before readers confuse a research page with a deployed proof-assistant service.

Polski: Read about the company
01 Polski: Is this page a product guarantee?
Polski: No. NPA is shown here as a research and implementation repository.
02 Polski: Can NPA replace Lean or Rocq?
Polski: No. NPA is not a practical replacement for Lean or Rocq.
03 Polski: Does the page run real NPA verification?
Polski: No. The browser simulation does not run NPA itself, Rust, WASM, or real proof certificates.
04 Polski: What counts as evidence here?
Polski: The certificate artifact, deterministic hashes, Rust kernel/verifier result, source-free reference checker result, and axiom report form the checking-side evidence.
05 Polski: Which facts need rechecking?
Polski: Current public version, repository visibility, toolchain pins, license text, and source wording were rechecked on 2026-07-02.

Polski: From proof discipline to operations

Polski: Use the same evidence discipline when a business decision must be trusted.

Polski: For business systems, the useful lesson is not to add theorem proving everywhere. It is to decide what must be generated, checked, logged, corrected, and approved by people.