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