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Task 3 — mitigation verdict (corrected, second re-run)
Evaluated against results/task3_preregistration.md (commit 84341b0), committed
before the experiment. No criterion was adjusted.
Two earlier passes of this experiment were void and are retracted. In the
first, M1 fell through to the hard gate for any channel whose blind error
exceeded max_blind_error_rate — which is every adversarial channel — so it never
executed in the sub-ceiling band it exists to defend. In the second, M2's jitter
was wired only into the fixed-ceiling ablation while the study's default rule is
a binomial tail test, leaving M2 inert. Both produced "identical to the hard gate"
results that looked like findings about the statistic and were findings about the
wiring. The probe tests in tests/test_mitigation_variants.py now pin activity,
and are checked before any verdict is read.
Activity check (must pass before the verdict means anything)
| variant | cells differing from hard | max abs difference |
|---|---|---|
| M1 soft | 48 / 81 | 0.860 |
| M2 random | 20 / 81 | 0.600 |
| M3 both | 51 / 81 | 0.718 |
All three are demonstrably live.
Verdict
| variant | C1 worst-case gain (≤0.15) | C3 retention (≥80%) | VERDICT |
|---|---|---|---|
| hard (baseline) | 0.915 | 100% | — |
| M1 soft | 0.915 ❌ | ✅ | FAIL |
| M2 random | 0.915 ❌ | ✅ | FAIL |
| M3 both | 0.915 ❌ | ✅ | FAIL |
C2 (cost at f=0) was not evaluable: f=0 is not on this sweep's grid. Recorded as not-reached, and immaterial — C1 alone disqualifies.
What the worst case hides, and why it matters
C1 is a max over the whole coherence grid, so it reports only where each defence is weakest. The full curve says something the max does not. MedQA, f=0.7, accuracy (lower = attack succeeds):
| q realised | hard | M1 | M2 | M3 |
|---|---|---|---|---|
| 0.253 | 0.000 | 0.000 | 0.000 | 0.000 |
| 0.280 | 0.000 | 0.000 | 0.000 | 0.032 |
| 0.333 | 0.050 | 0.284 | 0.050 | 0.312 |
| 0.413 | 0.143 | 0.747 | 0.567 | 0.600 |
| 0.520 | 0.005 | 0.865 | 0.005 | 0.723 |
| 0.653 | 0.910 | 0.890 | 0.310 | 0.888 |
| 1.000 | 0.832 | 0.832 | 0.832 | 0.853 |
| mean over grid | 0.350 | 0.563 | 0.291 | 0.536 |
Three things follow.
M1 works, and substantially. It lifts mean accuracy across the attack space from 0.350 to 0.563, a gain of 0.213 against a 0.100 floor. It nearly closes the mid-band: at q=0.52 the hard gate is destroyed (0.005) and M1 holds 0.865. The soft gate is a real defence over most of the adversary's operating range, and reporting it as a failure without this table would be misleading.
M2 makes things worse. Mean 0.291 against the hard gate's 0.350. Randomizing the threshold costs calibration precision and buys nothing, and M3's 0.536 against M1's 0.563 says M2 detracts there too. This is a clean negative result about a plausible idea.
No variant survives the low-coherence end. At q = 0.253 and 0.280 every defence, including the baseline, is driven to 0.000. That is where C1's worst case lives, and it does not move.
Conclusion
The pre-committed reading — that the evasion band is fundamental — holds, but the corrected data locates it far more precisely than "threshold-based gating fails".
The surviving attack sits at q ≈ 0.25–0.28, at or below the 1/3 chance coherence for a four-option space. At that operating point the adversarial channel's coherence is not merely close to honest disagreement, it is indistinguishable from independent error by construction: two agents lying independently on a C=4 space collide at 1/3, and the adversary is colliding at 0.25–0.28. There is no coherence statistic that separates those populations, because they have the same coherence.
So the limit is real and the mitigations are informative rather than failed: smoothing the gate closes most of the band (M1, +0.213 mean), randomizing it does not (M2, −0.059), and neither reaches the residual attack because the residual attack lives where the statistic itself carries no signal. A defence that closes it must use information coherence does not contain.
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