RRLS: relations, rewrites & phase / Report

RRLS v0.13 — P≟NP Proof Search

Corrected05 Sept 2026 · saved

The archived source is available to read.

01 / THE QUESTION

Editorial guide

Can RRLS's lift-compile-collapse method remove branching from SAT search, and what exactly would a P=NP proof along this route require?

02 / WHAT THE RECORD SAYS

Source passage

The 40-pigeon contradiction is therefore one matching dispatch instead of a DPLL tree.

03 / LIMITS & OPEN POINTS

Source passage

General random 3-SAT still generated irreducible cores and branch nodes after all current exact reductions.

04 / THE NEXT QUESTION

Source passage

the next loop should mine the irreducible general-3SAT cores for a new polynomially recognizable algebra.

05 / CHECKS IN THE RECORD

Editorial guide

This record does not separate a verification section. Read its methods, assumptions and original source before treating a claim as checked.

Previous connections

RRLS Studio v0.12 — Exact Operator Marketseries order (mechanical)

Following connections

RRLS v0.14 — The Missing-Link Searchseries order (mechanical)
RRLS: A Proof Attempt at Universal Relational Compilationrepairs
Audit of RRLS Studio v0.13 and a tested refinement
Passage from RRLS: A Proof Attempt at Universal Relational Compilation
RRLS v0.14 — Absolute P≟NP Attemptextends
v0.14 records the first representative irreducible core with:
Passage from RRLS v0.14 — Absolute P≟NP Attempt
RRLS v0.25 — Synchronized Collision Algebracites
Examples from v0.25/v0.19/v0.13:
Passage from RRLS v0.25 — Synchronized Collision Algebra

Source & provenance

Access: Public
Dates declared in the record: Not recorded
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /The Theory of Reality/RRLS_v13_PNP_RESEARCH_REPORT.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 05 Sept 2026 · saved
Status basis: r-089c94a4ecca audited the v0.13 source and repaired a model-merge defect: "Some subsolvers returned assignments for every numeric identifier up to their largest variable, including variables absent from their residual." Also superseded by r-cdeb9ec890f8 / r-c0c17efdaef1 (v0.14).
Size: 3,686 bytes
Word count: 583 words
SHA-256 of indexed source: ed2327e1878726631f53c39c23d0def45d584c12df22d47f70267e628c02fad4

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RRLS v0.13 — P≟NP Proof Search
Version 0.13
2026-09-05
d0re research record r-ed2327e18787
https://www.d0re.com/library/records/r-ed2327e18787.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: ed2327e1878726631f53c39c23d0def45d584c12df22d47f70267e628c02fad4