EXP-043VALIDATED
Advantage Decomposition / SHA-256

Generic latest-reset capability

Reset positions 16–18 can be unified by one exact rule: choose the latest active reset and evaluate only the suffix after that position.

Claim statusNO END-TO-END MINING ADVANTAGE DEMONSTRATED

Diagnostic work, exact algebra and local capabilities are not treated as end-to-end mining advantage.

Date2026-08-23
HardwareClassical exact algebraic verifier
Run scopeThree canonical variants
ReproducibilityEnumerate all reset overlaps, choose the maximum position, apply the corresponding suffix program and verify every carry-22 lane against direct addition in both cohorts.
01 / Question & hypothesis

What was tested?

Reset positions 16–18 can be unified by one exact rule: choose the latest active reset and evaluate only the suffix after that position.

02 / Scientific basis

Why the test is meaningful

Carry is a first-order recurrence, so a later forced state erases every earlier carry dependency. The union of resets must use maximum-position dominance; adding or multiplying individual reset rates would count overlapping records incorrectly.

r*=max{i∈{16,17,18}:R_i=1}c22=Suffix_{r*→22}(value(R_{r*}))P(any reset)=P(R16∪R17∪R18), not ΣP(R_i)
Latest-reset dominanceFresh-cohort records are assigned once, to the latest active reset position.EXP-043 / LATEST-RESET DOMINANCER1617R1764R18111NONE108
FIGURE / RESULT READINGFresh-cohort records are assigned once, to the latest active reset position.
03 / Method

How it was tested

Compile a position-generic contract from exact T1/T2 truth masks, select the maximum reset position, dispatch the corresponding K/P/G suffix and validate on original and fresh cohorts.

04 / Observed result

What happened

Original union64.22%
Fresh union64.00%
Semantic errors0

The capability produced zero semantic errors. Latest-reset coverage was 874 of 1,361 records (64.22%) originally and 192 of 300 (64.00%) fresh. Fresh latest positions were bit16:17, bit17:64, bit18:111, none:108; mean suffix stages fell from five to three as the reset moved later.

05 / Validation

Exactness and statistical controls

The original/fresh union rates closely agreed, but exact mask equality remained the theorem-level gate. The contract explicitly forbids multiplying reset rates and records downstream attenuation from V42.

06 / Interpretation

What the result means

V43 closes the reset family as a reusable exact representation. Its economy remains unassessed and its known downstream limit prevents promotion to a mining submotor.

Limitations

  • Exactness is limited to the declared 16-point source cube.
  • Coverage does not equal saved SHA work.
  • The downstream a6 interface did not simplify.
07 / Reproduction

Evidence trail

Enumerate all reset overlaps, choose the maximum position, apply the corresponding suffix program and verify every carry-22 lane against direct addition in both cohorts.

Canonical variants

SUBENGINE-V43ASUBENGINE-V43BSUBENGINE-V43C

Source: internally audited canonical reports. Local filesystem structure, private headers and operational identifiers are excluded from publication.