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Programme Status Taxonomy

Three vocabularies govern different objects. They may be compared, but they must not be collapsed.

Claim and support status

This vocabulary applies to mathematical statements and the support routes attached to them.

Level Meaning Permitted reliance
Lead A direction worth reconstructing Exploration only
Heuristic An organizing intuition Cautious reasoning, not theorem reliance
Exact evidence A finite or computational fact under stated assumptions Reliance on the bounded fact only
Proved locally A theorem inside an explicit dependency boundary Reliance within that boundary
Certification-ready A precise statement with dependencies and replay route Audit of the handoff
Certified A checked proof or independently replayed certificate Reliance on the declared checked statement
Rejected or superseded A claim or route that failed, drifted, or was replaced Historical and adversarial use only

The compact labels used on visual entry pages—conjectural, computed, provisional, certified, and rejected—are reader-facing summaries. This table and the Claim Boundary Doctrine govern their interpretation.

Artifact lifecycle status

This vocabulary applies to governed documents and artifacts, not directly to theorem truth.

draft, active, blocked, ready_for_next_stage, ready_for_certification, certified, completed, selected, published, archived

An artifact may be completed while its target conjecture remains open. A publication may be published while explicitly making no novelty claim.

Repository review, CI success, pull-request merge, and public navigation are evidence about an artifact's documentary integration. They are not additional mathematical support levels. Where an immutable artifact preserves its pre-merge wording, the Campaign Promotion Register records the current documentary disposition.

Campaign disposition

Disposition is a human-readable campaign qualification, such as:

  • referee_promoted_conditional;
  • selected_unproved;
  • qualified solved-problem archive;
  • WP02/MATHCERT handoff discharged.

Disposition records why or how an artifact occupies its lifecycle state. It does not create a new machine lifecycle token and does not strengthen the mathematical claim.

Programme structure

The programme has three mathematical execution pillars:

MATHFORGE -> MATHSOLVE -> MATHCERT

MATH-PROGRAMME is the governance, integration, publication, and archival layer. It is represented as a schema pillar where those artifacts require a named owner, but it is not a fourth mathematical proof stage.

Reading rule

Before relying on a status word, ask:

  1. Does it describe a mathematical claim, an artifact lifecycle, a campaign disposition, or merely repository integration?
  2. Which support route, review record, decision, or promotion register governs it?
  3. What nearby stronger statement is explicitly excluded?