compute the crosslink degree from a 64-bit perspective — a Bloom prefilter, honestly lossy
Theorem.compute the crosslink degree from a 64-bit perspective — a Bloom prefilter, honestly lossy.
Proof.compute the crosslink degree with a 64-BIT signature (user, 2026-07-25: "compute the degree from 64bit perspective"). Each theorem's significant words hash into a 64-bit Bloom mask, and the shared content of two theorems is popcount(A & B) — a constant-time 64-bit machine op — so the pairwise degree is 64-bit-native with no per-pair word-set iteration. HONEST: the Bloom signature has hash collisions (false positives), so on the sample the 64-bit degree (6) OVER-estimates the exact word-set degree (0); it is a fast PREFILTER (an upper bound), and the exact word-set intersection is the ground truth. SCOPE: "64bit perspective" = a fixed-width bitmask + popcount, a lossy prefilter, not the exact metric. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#computeTheoremDegreeFrom64BitPerspective
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
"compute the crosslink degree from a 64-bit perspective — a Bloom prefilter, honestly lossy" 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 computeTheoremDegreeFrom64BitPerspective.
- 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 (computeTheoremDegreeFrom64BitPerspective @ src/4/6) 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 computeTheoremDegreeFrom64BitPerspective (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.