Trạng thái công khai
Tiếng Việt: Research and implementation repository
Tiếng Việt: The GitHub repository is public, but this page describes a research and implementation repository, not a deployed service.
Finite Field
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Tiếng Việt: Back to Math Lab
NPA / Certificate-first proof checking
Tiếng Việt: NPA: expose the proof evidence boundary before trusting a result.
Tiếng Việt: 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.
- Trạng thái công khai
- Repository nghiên cứu
- Tiếng Việt: Shown as research and implementation, not as a production assurance service.
- Kiểm tra công khai lại
- 2026-07-02 / NPA v0.2.0
- Tiếng Việt: Latest git tags checked: npa v0.2.0, npa-std v0.1.0, npa-mathlib v0.1.30.
- Giấy phép
- Apache-2.0
- Tiếng Việt: Apache-2.0 was verified for npa, npa-std, and npa-mathlib on 2026-07-02.
Tiếng Việt: 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.
Public status
Tiếng Việt: State what is public, what is evidence, and when it was rechecked.
Tiếng Việt: This page makes the page's basis visible: a local truth snapshot, a public repository source, and the final prelaunch readback date.
Public recheck
2026-07-02
Tiếng Việt: 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
Tiếng Việt: The source snapshot records canonical .npcert, certificate_hash, export_hash, axiom_report_hash, and checker verdicts.
License
Apache-2.0 verified
Tiếng Việt: Apache-2.0 was verified for npa, npa-std, and npa-mathlib through public LICENSE metadata on 2026-07-02.
Boundary
Tiếng Việt: 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
Tiếng Việt: Move only a canonical certificate across the evidence boundary.
Tiếng Việt: The boundary is not about which tool looks sophisticated. It is about which artifact is allowed to become evidence after independent checking.
Tiếng Việt: 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.
Tiếng Việt: Proof pipeline / explanatory simulation
Tiếng Việt: Show the exact pipeline from certificate bytes to checking evidence.
Tiếng Việt: 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
Tiếng Việt: The explanatory pipeline has not run yet.Tiếng Việt: Run the explanation to mark the source-free checking path in order.
Claim register
Tiếng Việt: Separate evidence, time-sensitive facts, and boundary claims.
Tiếng Việt: 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.
| Tiếng Việt: Claim | Tiếng Việt: Public wording | Trạng thái | Tiếng Việt: Source | Tiếng Việt: Publication action |
|---|---|---|---|---|
| CL-001 | Tiếng Việt: NPA is certificate-first: the auditable boundary is the canonical .npcert artifact and the checking path around it. | Tiếng Việt: Verified public claim | S01 / 2026-07-02 | Tiếng Việt: Review when the README changes. |
| CL-002 | Tiếng Việt: 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. | Tiếng Việt: Verified public recheck | S01 / S02 / 2026-07-02 | Tiếng Việt: Keep tag wording scoped by repository. |
| CL-003 | Tiếng Việt: The local truth snapshot records a Rust 1.95.0 toolchain pin; it is not used as a marketing claim. | Tiếng Việt: Verified, time-sensitive | S01 / 2026-07-02 | Tiếng Việt: Recheck if the toolchain version is displayed. |
| CL-004 | Tiếng Việt: NPA is not a practical replacement for Lean or Rocq. This boundary must stay visible beside any comparison. | Tiếng Việt: Verified boundary claim | S01 / S03 / S05 / 2026-07-02 | Tiếng Việt: Retain the disclaimer. |
| CL-005 | Tiếng Việt: npa-std and npa-mathlib are separate public theorem-package repositories in the finitefield-org organization. | Tiếng Việt: Verified public claim | S01 / S02 / 2026-07-02 | Tiếng Việt: Recheck repository visibility again if publication is delayed or repositories change. |
| CL-006 | Tiếng Việt: The npa, npa-std, and npa-mathlib repositories each expose Apache-2.0 licensing through their public LICENSE metadata. | Tiếng Việt: Verified public claim | S01 / S02 / 2026-07-02 | Tiếng Việt: Recheck LICENSE on a major release. |
Repositories and license
Tiếng Việt: Keep code, package repositories, and organization visibility explicit.
Tiếng Việt: Repository links are public-source pointers, not guarantees that the current page is synchronized with the latest GitHub state.
4 Tiếng Việt: repositories shown
finitefield-org
npa
Tiếng Việt: Certificate-first proof assistance and verification toolchain.
- License
- Tiếng Việt: 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
Tiếng Việt: Open repository
finitefield-org
npa-std
Tiếng Việt: Standard theorem package repository for NPA proof sources.
- License
- Tiếng Việt: Apache-2.0 verified from LICENSE on 2026-07-02.
- Verification
- Tiếng Việt: 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
Tiếng Việt: Open repository
finitefield-org
npa-mathlib
Tiếng Việt: Formal mathematics library research repository.
- License
- Tiếng Việt: Apache-2.0 verified from LICENSE on 2026-07-02.
- Verification
- Tiếng Việt: 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
Tiếng Việt: Open repository
finitefield-org
Finite Field GitHub organization
Tiếng Việt: Public organization snapshot for the Lab repository family.
- License
- Tiếng Việt: Repository-specific licenses apply
- Verification
- Tiếng Việt: npa, npa-std, and npa-mathlib are public as of the 2026-07-02 GitHub API readback.
public indexvisibility snapshotsource
Tiếng Việt: Open organization
Tiếng Việt: No repository matched the current search.
Tiếng Việt: 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
Tiếng Việt: Clarify roles before comparing proof tools.
Tiếng Việt: 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.
| Tiếng Việt: Item | Lean | Rocq | NPA |
|---|---|---|---|
| Tiếng Việt: Position | Tiếng Việt: Open-source programming language and proof assistant. | Tiếng Việt: Interactive theorem prover with a long research history. | Tiếng Việt: Research and implementation repository for certificate-first checking. |
| Tiếng Việt: Typical use | Tiếng Việt: Mathematics, software verification, and programming. | Tiếng Việt: Mathematics, specifications, program verification, and extraction. | Tiếng Việt: Research into proof certificates, independent checking, and a small trusted base. |
| Tiếng Việt: Evidence boundary | Tiếng Việt: Its own trusted kernel and ecosystem define the checking boundary. | Tiếng Việt: Its own kernel and checked developments define the checking boundary. | Tiếng Việt: The canonical .npcert artifact crosses from generation into checking. |
| Tiếng Việt: How this page treats it | Tiếng Việt: Reference for learning, comparison, and interoperability. | Tiếng Việt: Reference for learning, comparison, and formalization methods. | Tiếng Việt: Finite Field research project, not a product promise. |
| Tiếng Việt: Boundary | Tiếng Việt: Specialist knowledge is still required. | Tiếng Việt: Specialist knowledge is still required. | Tiếng Việt: NPA is not a practical replacement for Lean or Rocq at this time. |
Sources
Tiếng Việt: Publish the source map beside the interpretation.
Tiếng Việt: 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
Tiếng Việt: Primary source for NPA purpose, trust model, v0.2.0 current repository tag wording, commands, repository layout, and license.
Tiếng Việt: Open source S02Finite Field GitHub organization
Tiếng Việt: Primary source for public repository visibility, latest git tags, release pages, and the Lab repository family snapshot checked on 2026-07-02.
Tiếng Việt: Open source S03Lean official site
Tiếng Việt: Primary source for Lean's public positioning, checked on 2026-07-02.
Tiếng Việt: Open source S04Lean language reference
Tiếng Việt: Primary source for dependent type theory and kernel reference context, checked on 2026-07-02.
Tiếng Việt: Open source S05Rocq Prover official site
Tiếng Việt: Primary source for Rocq's public positioning, checked on 2026-07-02.
Tiếng Việt: Open source S06FINITE FIELD company site
Tiếng Việt: Company source for Finite Field brand and business context.
Tiếng Việt: Open sourceFAQ
Tiếng Việt: NPA status and verification boundaries.
Tiếng Việt: The answers emphasize the trust boundary before readers confuse a research page with a deployed proof-assistant service.
Tiếng Việt: Read about the company01 Tiếng Việt: Is this page a product guarantee?
Tiếng Việt: No. NPA is shown here as a research and implementation repository.
02 Tiếng Việt: Can NPA replace Lean or Rocq?
Tiếng Việt: No. NPA is not a practical replacement for Lean or Rocq.
03 Tiếng Việt: Does the page run real NPA verification?
Tiếng Việt: No. The browser simulation does not run NPA itself, Rust, WASM, or real proof certificates.
04 Tiếng Việt: What counts as evidence here?
Tiếng Việt: The certificate artifact, deterministic hashes, Rust kernel/verifier result, source-free reference checker result, and axiom report form the checking-side evidence.
05 Tiếng Việt: Which facts need rechecking?
Tiếng Việt: Current public version, repository visibility, toolchain pins, license text, and source wording were rechecked on 2026-07-02.
Tiếng Việt: From proof discipline to operations
Tiếng Việt: Use the same evidence discipline when a business decision must be trusted.
Tiếng Việt: 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.