NPA / Certificate-first proof checking

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

Português: 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.

Português: Inspect the trust boundary Português: Open GitHub repository

Status público: Repository de pesquisa; Português: Shown as research and implementation, not as a production assurance service.
Reverificação pública: 2026-07-02 / NPA v0.2.0; Português: Latest git tags checked: npa v0.2.0, npa-std v0.1.0, npa-mathlib v0.1.30.
Licença: Apache-2.0; Português: Apache-2.0 was verified for npa, npa-std, and npa-mathlib on 2026-07-02.

Português: 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.

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

Public status

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

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

Status público

Português: Research and implementation repository

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

Public recheck

2026-07-02

Português: 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

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

License

Apache-2.0 verified

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

Boundary

Português: 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

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

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

Português: 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.

Português: Proof pipeline / explanatory simulation

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

Português: 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

01 Certificate formatcanonical .npcert bytes / parseable certificate / format check WAIT
02 Certificate hashcertificate bytes / certificate_hash / deterministic digest WAIT
03 Kernel verdictcertificate / accept or reject / Rust verifier report WAIT
04 Reference checkerhash-pinned certificate / independent accept or reject / source-free checker report WAIT
05 Axiom reportchecked package / axiom_report_hash / assumption inventory WAIT

Verdict

Português: The explanatory pipeline has not run yet.

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

Claim register

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

Português: 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.

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

Repositories and license

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

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

4 Português: repositories shown

finitefield-org

npa

Português: Certificate-first proof assistance and verification toolchain.

License: Português: 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

Português: Open repository

finitefield-org

npa-std

Português: Standard theorem package repository for NPA proof sources.

License: Português: Apache-2.0 verified from LICENSE on 2026-07-02.
Verification: Português: 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

Português: Open repository

finitefield-org

npa-mathlib

Português: Formal mathematics library research repository.

License: Português: Apache-2.0 verified from LICENSE on 2026-07-02.
Verification: Português: 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

Português: Open repository

finitefield-org

Finite Field GitHub organization

Português: Public organization snapshot for the Lab repository family.

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

public indexvisibility snapshotsource

Português: Open organization

Português: 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

Português: Clarify roles before comparing proof tools.

Português: 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.

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

Português: Lean official site Português: Rocq Prover official site NPA GitHub

Sources

Português: Publish the source map beside the interpretation.

Português: Sources are shown so the reader can tell which claims come from public repositories, official proof-tool sites, and company context.

S01

finitefield-org/npa

Português: Primary source for NPA purpose, trust model, v0.2.0 current repository tag wording, commands, repository layout, and license.

Português: Open source S02

Finite Field GitHub organization

Português: Primary source for public repository visibility, latest git tags, release pages, and the Lab repository family snapshot checked on 2026-07-02.

Português: Open source S03

Lean official site

Português: Primary source for Lean's public positioning, checked on 2026-07-02.

Português: Open source S04

Lean language reference

Português: Primary source for dependent type theory and kernel reference context, checked on 2026-07-02.

Português: Open source S05

Rocq Prover official site

Português: Primary source for Rocq's public positioning, checked on 2026-07-02.

Português: Open source S06

FINITE FIELD company site

Português: Company source for Finite Field brand and business context.

Português: Open source

FAQ

Português: NPA status and verification boundaries.

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

Português: Read about the company

01 Português: Is this page a product guarantee?

Português: No. NPA is shown here as a research and implementation repository.

02 Português: Can NPA replace Lean or Rocq?

Português: No. NPA is not a practical replacement for Lean or Rocq.

03 Português: Does the page run real NPA verification?

Português: No. The browser simulation does not run NPA itself, Rust, WASM, or real proof certificates.

04 Português: What counts as evidence here?

Português: The certificate artifact, deterministic hashes, Rust kernel/verifier result, source-free reference checker result, and axiom report form the checking-side evidence.

05 Português: Which facts need rechecking?

Português: Current public version, repository visibility, toolchain pins, license text, and source wording were rechecked on 2026-07-02.

Português: From proof discipline to operations

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

Português: 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.

Português: Check the business issue Português: View prototype