Dimensional Chess: C1 through C8 / Note

Dimensional Chess C6: Legal Exchange Dependencies

Reference15 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Does a legal capture–recapture dependency graph order an exact bounded mate search better than raw tension or a checks/captures baseline?

02 / WHAT THE RECORD SAYS

Source passage

C6 reduces nodes by 17.43% relative to C5 tension and 4.43% relative to the forcing baseline.

03 / LIMITS & OPEN POINTS

Source passage

Across individual positions, C6 beats forcing on three, ties on one, and loses on four. The aggregate win is real for this corpus but is not evidence of universal superiority.

04 / THE NEXT QUESTION

Source passage

Replace the optional single-square graph with a proof-carrying *forcing dependency graph* that may include checks, required evasions, captures on other squares, promotions, and quiet threats.

05 / CHECKS IN THE RECORD

Source passage

The independent verifier does not import the C6 module. Using only the separately tested orthodox move engine, it:

Read this passage in context →

Previous connections

Dimensional Chess C5: Tension Fields and Tactical Entry Orderingseries order (mechanical)

Following connections

Dimensional Chess C7: Horizon-Safe State Projectionseries order (mechanical)
Dimensional Chess: Initial-Position Mate Frontier R1tests
The C6 dependency search was run on the actual orthodox initial position:
Passage from Dimensional Chess: Initial-Position Mate Frontier R1

Source & provenance

Access: Public
Dates declared in the record: Date: 15 September 2026
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /Dimensional_Chess_Exchange_Dependency_C6.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 15 Sept 2026 · saved
Status basis: C6's claim was scoped to its corpus; r-b7e0db547cd6 tests it at the initial position and finds the scope holds: "C6's aggregate advantage on the eight-position tactical corpus therefore does not transfer to the initial-position negative-mate proof."
Size: 7,184 bytes
Word count: 1,057 words
SHA-256 of indexed source: 9b58e8d87cb0576c377fb83ed615562963c3e9cecb0cf8d6563e4e3522434674

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Dimensional Chess C6: Legal Exchange Dependencies
Version 6
2026-09-15
d0re research record r-9b58e8d87cb0
https://www.d0re.com/library/records/r-9b58e8d87cb0.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 9b58e8d87cb0576c377fb83ed615562963c3e9cecb0cf8d6563e4e3522434674