Research Promotion Loop

Abstract

Ledgers prune; walls persist; release forces escape; promotion receipts are typed.

Theorem 1.1 (A released anchor projects its typed proof receipt and link chain).

$$\forall chain:\mathrm{PromotionChain}\left(Candidate,Statement,Proof,Node,Anchor,Seed\right),\exists receipt:\mathrm{ProofReceipt}\left(\mathrm{certifies}\left(chain\right),\mathrm{exactStatement}\left(chain\right)\right),\mathrm{verdict}\left(chain\right)=\mathrm{PromotionVerdictProved}\left(receipt\right)\wedge \mathrm{exactStatement}\left(chain\right)=\mathrm{statementOfProposal}\left(chain\right)\wedge \mathrm{frozenNode}\left(chain\right)=\mathrm{nodeOfVerdict}\left(chain\right)\wedge \mathrm{releasedAnchor}\left(chain\right)=\mathrm{anchorOfFrozenNode}\left(chain\right)\wedge \mathrm{researchSeed}\left(chain\right)=\mathrm{seedOfReleasedAnchor}\left(chain\right).$$

Proof. Machine-checked in Lean as D5/S3/ConceptDynamics/Promotion/ResearchPromotionLoop.released_anchor_has_receipt (✓ std3). ∎

Source. Repository-derived.

Commentary.

PromotionChain is typed bookkeeping from proposal through verdict, frozen node, released anchor, and research seed.

The proved verdict branch supplies the ProofReceipt and all faithfulness equalities; the refuted branch is excluded by IsReleased.

This is typed bookkeeping, not an empirical validity or promotion-policy theorem.

References

• Truth anchor: D5/S3/ConceptDynamics/Promotion/ResearchPromotionLoop.released_anchor_has_receipt