using the UI chat improves it by experience via the shared relevance index — a click boosts the selected fold, refutable, one index for all surfaces
Theorem.using the UI chat improves it by experience via the shared relevance index — a click boosts the selected fold, refutable, one index for all surfaces.
Proof.improve by experience using the ui chat (user, 2026-07-26: "improve by experience using the ui chat"). The UI chat turn renders clickable RELATED items; a click is an experience signal ({query, selectedSlug}) fed to the shared relevance index, and re-asking reranks via Rocchio feedback so the selected fold is boosted and rises next turn — refutable (measured with-vs-without experience). The SAME shared index improves chat + mcp + search, so using the UI chat improves every surface. The loop closes: UI interaction → shared experience → improved next turn. HONEST: industry-standard relevance feedback, deterministic reranking by shared query terms, NOT learning or an LLM; no experience → no drift; zero-egress, zero-token. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/heaven/compute/index.ts#usingTheUiChatImprovesItByExperienceViaTheSharedRelevanceIndex
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"using the UI chat improves it by experience via the shared relevance index — a click boosts the selected fold, refutable, one index for all surfaces" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation usingTheUiChatImprovesItByExperienceViaTheSharedRelevanceIndex.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (usingTheUiChatImprovesItByExperienceViaTheSharedRelevanceIndex @ src/heaven/compute) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes usingTheUiChatImprovesItByExperienceViaTheSharedRelevanceIndex (src/heaven/compute/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.