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| # Method | |
| The verifier implements the actual attention data path: dot-product scores, | |
| softmax exponentials, normalization, and weighted value aggregation. Because | |
| `Q=K=0`, every score is zero, `exp(0)=1`, and exact `Fraction` arithmetic | |
| produces weights `1/k`. | |
| It compares attention output with a separately implemented direct mean for all | |
| 873 permutations of fixed two-dimensional rational feature sequences at | |
| lengths one through six. | |
| The negative control changes the score vector to `[0,1]`. A 50-digit Decimal | |
| softmax gives unequal weights, so the control must be rejected as uniform | |
| attention. | |