RRLS: relations, rewrites & phase / Note

RRLS Invariant Discovery Engine

Indexed reference05 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Can a finite catalogue of exact structural invariants separate satisfiable from unsatisfiable formulas, and does a refinement chosen on training data survive fresh inputs?

02 / WHAT THE RECORD SAYS

Source passage

On a separate fresh cohort, it reduced 290 opposite-label pairs to one.

03 / LIMITS & OPEN POINTS

Source passage

This limitation applies to the information retained in $I_2$ , not to all polynomial invariants, all future RRLS extensions, or all algorithms. It proves neither P=NP nor P≠NP.

04 / THE NEXT QUESTION

Source passage

The next candidate must retain information this pair loses; fitting a different classifier to these same features cannot repair that loss.

05 / CHECKS IN THE RECORD

Source passage

Across the two completed cohorts there are 1,602 independently checked base decisions and 1,602 checked bijective transformations: 3,204 formula records. The original cohort has 953 SAT and 393 UNSAT labels; the fresh cohort has 191 SAT and 65 UNSAT labels.

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Origin: d0re research collection (snapshot 1 October 2026)
Original path: /The Theory of Reality/RRLS_INVARIANT_DISCOVERY.md
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Date: 05 Sept 2026 · saved
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RRLS Invariant Discovery Engine
2026-09-05
d0re research record r-01881573f5be
https://www.d0re.com/library/records/r-01881573f5be.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 01881573f5be63c09474c010406d511da3341a1d672e87ac743d2e722ea8a51c