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