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