De Bruijn sequence exact-window
Theorem.De Bruijn sequence exact-window — B(2,n) is a cyclic binary string of length 2^n in which every n-bit word appears EXACTLY once, constructed and window-verified for n ≤ 6 (n=3 gives 00010111).
Proof.B(2,n) is a cyclic binary string of length 2^n in which every n-bit word appears EXACTLY once, constructed and window-verified for n ≤ 6 (n=3 gives 00010111).
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#discoveredTheoremsWaveThirtyThree
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
"De Bruijn sequence exact-window" 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 discoveredTheoremsWaveThirtyThree.
- 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 (discoveredTheoremsWaveThirtyThree @ src/9/1) 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 discoveredTheoremsWaveThirtyThree (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.