RRLS: relations, rewrites & phase / Report

RRLS v0.16 — Extension Synthesis Is the Wall

Superseded05 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Is RRLS's habit of naming discovered relations as reusable tokens the missing link, or has proof complexity already covered it?

02 / WHAT THE RECORD SAYS

Source passage

A polynomially bounded proof language whose proofs are not efficiently discoverable does not give a polynomial-time SAT algorithm.

03 / LIMITS & OPEN POINTS

Source passage

For general SAT, no universal polynomial canonicalizer/extension synthesizer is known.

04 / THE NEXT QUESTION

Source passage

The unresolved research question is whether general SAT admits a finite/polynomially indexable portfolio of such canonicalizers with universal closure.

05 / CHECKS IN THE RECORD

Source passage

Even tiny-looking operator classes have exponentially many possible definitions.

Read this passage in context →

Previous connections

RRLS v0.15 — The Knowledge-Compilation Wallseries order (mechanical)

Following connections

RRLS v0.17 — The Fiber Occupancy Wallseries order (mechanical)

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_v16_EXTENSION_SYNTHESIS_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-c2959fe23319 folds the extension-synthesis wall into its three-wall synthesis: "RRLS vocabulary tokens are analogous to extension variables in strong proof systems."
Size: 4,996 bytes
Word count: 692 words
SHA-256 of indexed source: 25cddfb8e1cd29a66cc9e4c9f8bf337f19a9599a563ec4692e7355ca5d736af4

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RRLS v0.16 — Extension Synthesis Is the Wall
Version 0.16
2026-09-05
d0re research record r-25cddfb8e1cd
https://www.d0re.com/library/records/r-25cddfb8e1cd.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 25cddfb8e1cd29a66cc9e4c9f8bf337f19a9599a563ec4692e7355ca5d736af4