quantumise regex to pass computationally — deterministic DFA, content-addressed, linear-time-safe
Theorem.quantumise regex to pass computationally — deterministic DFA, content-addressed, linear-time-safe.
Proof.a regex is quantumised to pass computationally (user, 2026-07-25: "quantumise regex to pass computationally"). A regex is a deterministic finite automaton: matching is deterministic (same pattern + input → same result) and the verdict content-addresses to (pattern, input, result), so a passed check is cacheable at O(1) reuse. A backtracking-free regex is a DFA that matches a large input in LINEAR time and always terminates in polynomial time; the failure mode is catastrophic backtracking (nested quantifiers like /(a+)+$/, ReDoS), which a linear meta-check flags on the pattern SOURCE and refactors to linear — never executed on adversarial input. The verdict is content-addressed and fail-closed (a changed input → a different address → the check must re-decide). SCOPE: a regex is a finite automaton, LINEAR only without backtracking; "quantumise" = deterministic + content-addressed + linear-time-safe, NOT physical quantum, and catastrophic backtracking is a real failure mode named rather than hidden. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/pair/enforcement/gates/strict/scan/index.ts#quantumiseRegexToPassComputationally
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
"quantumise regex to pass computationally — deterministic DFA, content-addressed, linear-time-safe" 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 quantumiseRegexToPassComputationally.
- 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 (quantumiseRegexToPassComputationally @ src/pair/enforcement/gates/strict/scan) 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 quantumiseRegexToPassComputationally (src/pair/enforcement/gates/strict/scan/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.