Ερευνητικό repository
Ελληνικά: The GitHub repository is public, but this page describes a research and implementation repository, not a deployed service.
NPA / Certificate-first proof checking
Ελληνικά: 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.
Ελληνικά: 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
Ελληνικά: This page makes the page's basis visible: a local truth snapshot, a public repository source, and the final prelaunch readback date.
Ελληνικά: The GitHub repository is public, but this page describes a research and implementation repository, not a deployed service.
Ελληνικά: The public-source readback was completed on 2026-07-02. The original source reconstruction still uses the 2026-06-21 local truth snapshot.
Ελληνικά: The source snapshot records canonical .npcert, certificate_hash, export_hash, axiom_report_hash, and checker verdicts.
Ελληνικά: Apache-2.0 was verified for npa, npa-std, and npa-mathlib through public LICENSE metadata on 2026-07-02.
Boundary
Ελληνικά: 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
Ελληνικά: The boundary is not about which tool looks sophisticated. It is about which artifact is allowed to become evidence after independent checking.
Ελληνικά: 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.
Ελληνικά: Proof pipeline / explanatory simulation
Ελληνικά: 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
Verdict
Ελληνικά: The explanatory pipeline has not run yet.Ελληνικά: Run the explanation to mark the source-free checking path in order.
Claim register
Ελληνικά: This page does not rely on loose research copy. Each public statement is tied to a local truth snapshot, a source, and a publication action.
| Ισχυρισμός | Δημόσια διατύπωση | Κατάσταση | Πηγή | Ενέργεια δημοσίευσης |
|---|---|---|---|---|
| CL-001 | Ελληνικά: NPA is certificate-first: the auditable boundary is the canonical .npcert artifact and the checking path around it. | Ελληνικά: Verified public claim | S01 / 2026-07-02 | Ελληνικά: Review when the README changes. |
| CL-002 | Ελληνικά: 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. | Ελληνικά: Verified public recheck | S01 / S02 / 2026-07-02 | Ελληνικά: Keep tag wording scoped by repository. |
| CL-003 | Ελληνικά: The local truth snapshot records a Rust 1.95.0 toolchain pin; it is not used as a marketing claim. | Ελληνικά: Verified, time-sensitive | S01 / 2026-07-02 | Ελληνικά: Recheck if the toolchain version is displayed. |
| CL-004 | Ελληνικά: NPA is not a practical replacement for Lean or Rocq. This boundary must stay visible beside any comparison. | Ελληνικά: Verified boundary claim | S01 / S03 / S05 / 2026-07-02 | Ελληνικά: Retain the disclaimer. |
| CL-005 | Ελληνικά: npa-std and npa-mathlib are separate public theorem-package repositories in the finitefield-org organization. | Ελληνικά: Verified public claim | S01 / S02 / 2026-07-02 | Ελληνικά: Recheck repository visibility again if publication is delayed or repositories change. |
| CL-006 | Ελληνικά: The npa, npa-std, and npa-mathlib repositories each expose Apache-2.0 licensing through their public LICENSE metadata. | Ελληνικά: Verified public claim | S01 / S02 / 2026-07-02 | Ελληνικά: Recheck LICENSE on a major release. |
Repositories and license
Ελληνικά: Repository links are public-source pointers, not guarantees that the current page is synchronized with the latest GitHub state.
4 Ελληνικά: repositories shown
finitefield-org
Ελληνικά: Certificate-first proof assistance and verification toolchain.
finitefield-org
Ελληνικά: Standard theorem package repository for NPA proof sources.
finitefield-org
Ελληνικά: Formal mathematics library research repository.
finitefield-org
Ελληνικά: Public organization snapshot for the Lab repository family.
Ελληνικά: 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
Ελληνικά: This is a role table, not a ranking. Lean and Rocq remain reference proof-assistant ecosystems; NPA is presented as certificate-centered research and implementation work.
| Στοιχείο | Lean | Rocq | NPA |
|---|---|---|---|
| Ελληνικά: Position | Ελληνικά: Open-source programming language and proof assistant. | Ελληνικά: Interactive theorem prover with a long research history. | Ελληνικά: Research and implementation repository for certificate-first checking. |
| Ελληνικά: Typical use | Ελληνικά: Mathematics, software verification, and programming. | Ελληνικά: Mathematics, specifications, program verification, and extraction. | Ελληνικά: Research into proof certificates, independent checking, and a small trusted base. |
| Ελληνικά: Evidence boundary | Ελληνικά: Its own trusted kernel and ecosystem define the checking boundary. | Ελληνικά: Its own kernel and checked developments define the checking boundary. | Ελληνικά: The canonical .npcert artifact crosses from generation into checking. |
| Ελληνικά: How this page treats it | Ελληνικά: Reference for learning, comparison, and interoperability. | Ελληνικά: Reference for learning, comparison, and formalization methods. | Ελληνικά: Finite Field research project, not a product promise. |
| Ελληνικά: Boundary | Ελληνικά: Specialist knowledge is still required. | Ελληνικά: Specialist knowledge is still required. | Ελληνικά: NPA is not a practical replacement for Lean or Rocq at this time. |
Sources
Ελληνικά: Sources are shown so the reader can tell which claims come from public repositories, official proof-tool sites, and company context.
Ελληνικά: Primary source for NPA purpose, trust model, v0.2.0 current repository tag wording, commands, repository layout, and license.
Ελληνικά: Open source S02Ελληνικά: Primary source for public repository visibility, latest git tags, release pages, and the Lab repository family snapshot checked on 2026-07-02.
Ελληνικά: Open source S03Ελληνικά: Primary source for Lean's public positioning, checked on 2026-07-02.
Ελληνικά: Open source S04Ελληνικά: Primary source for dependent type theory and kernel reference context, checked on 2026-07-02.
Ελληνικά: Open source S05Ελληνικά: Primary source for Rocq's public positioning, checked on 2026-07-02.
Ελληνικά: Open source S06Ελληνικά: Company source for Finite Field brand and business context.
Ελληνικά: Open sourceFAQ
Ελληνικά: The answers emphasize the trust boundary before readers confuse a research page with a deployed proof-assistant service.
Ελληνικά: Read about the companyΕλληνικά: From proof discipline to operations
Ελληνικά: 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.