RRLS: relations, rewrites & phase / Audit

RRLS: independent mathematical and computational audit

Reference05 Sept 2026 · saved

The archived source is available to read.

01 / THE QUESTION

Editorial guide

Which claims in the supplied RRLS attachment (exact ANF, shear scoring, basis change, small-relations-first ordering, benchmarks) hold up under independent implementation and testing?

02 / WHAT THE RECORD SAYS

Source passage

It establishes exact finite results, useful ordering effects, and explicit counterexamples to stronger claims. It does not reproduce the missing original search program or solve a Millennium Prize problem.

03 / LIMITS & OPEN POINTS

Not recorded

Not recorded in the index. Consult the original source when available.

04 / THE NEXT QUESTION

Source passage

For P versus NP, the remaining obstacle is a proven bound for all input instances, including large intermediate widths and the cost of obtaining a useful representation.

05 / CHECKS IN THE RECORD

Source passage

Result: the attachment contains valid Boolean algebra and useful optimization ideas. This companion independently implements and tests selected methods. It establishes exact finite results, useful ordering effects, and explicit counterexamples to stronger claims. It does not reproduce the missing original search program or solve a Millennium Prize problem.

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Associated files

results.json ↗
Public · 1,706 bytes
SHA-256: c1477dc1a66d1a3f1209f7084f85c6e66c37ff8d9526b85d8419b6f93fa21e58

Following connections

Applying the RE engine to the structure inside SATextends
Research companion to the Reality Bit Engine and RRLS audit.
Passage from Applying the RE engine to the structure inside SAT

Source & provenance

Access: Public
Dates declared in the record: Date: 2026-09-05. Companion to the Theory of Reality / Reality Bit Engine project.
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /The Theory of Reality/AUDIT.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 05 Sept 2026 · saved
Status basis: Standalone audit of a supplied attachment; r-ee0f8cf32e7f itself: "This companion changes neither the frozen v0.20 engine nor the Theory of Reality paper." Its factor-elimination engine is reused by r-2f8e1d2a9608.
Size: 13,341 bytes
Word count: 1,854 words
SHA-256 of indexed source: ee0f8cf32e7f02de36f2698fbe3ecd54112b7f4757d04b7bf5d8cf853114c8af

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RRLS: independent mathematical and computational audit
2026-09-05
d0re research record r-ee0f8cf32e7f
https://www.d0re.com/library/records/r-ee0f8cf32e7f.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: ee0f8cf32e7f02de36f2698fbe3ecd54112b7f4757d04b7bf5d8cf853114c8af