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59 lines
1.6 KiB
Markdown
59 lines
1.6 KiB
Markdown
# Anti-FAMM Shadow Adversary
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## Purpose
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Anti-FAMM is the adversarial dual of FAMM. FAMM records residuals, scars, torsion, failed routes, and coarsening agents. Anti-FAMM asks where FAMM failed to see the scar, over-scarred a valid route, or allowed a witness packet to pass while the invariant actually failed.
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```text
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Anti-FAMM = the shadow map of FAMM blind spots.
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```
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## Nullspace attack
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Let \(\Pi(X)\) be the current FAMM witness projection and \(T(X)\) the dangerous target behavior: vorticity stretching, invariant failure, pair-address aliasing, closure instability, proof drift, or hidden residual.
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Anti-FAMM searches for:
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```math
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\eta\in\ker D\Pi_X
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```
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such that:
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```math
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DT_X[\eta]\ne0
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```
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Meaning: the perturbation is invisible to the witness packet, but it changes the dangerous thing.
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## Shadow objective
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```math
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\mathcal A_{\mathrm{FAMM}}(X)
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=
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\sup_{\eta\in\ker D\Pi_X,\;\|\eta\|\le1}
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\|DT_X[\eta]\|
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```
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If \(\mathcal A_{\mathrm{FAMM}}(X)>\Theta_A\), the witness packet is incomplete.
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## Classification attacks
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```text
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False pass: FAMM says PASS, Anti-FAMM finds hidden residual or invariant failure.
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False scar: FAMM says SCAR, Anti-FAMM finds the route was lawful under a missing witness.
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```
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## Stack placement
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```text
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candidate witness packet
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→ FAMM classification
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→ Anti-FAMM nullspace / shadow attack
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→ Warden decision
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→ promote / reopen / scar / coarsen / reject
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```
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## Project sentence
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Anti-FAMM is the shadow adversary for FAMM: it searches for perturbations invisible to the witness packet but active in the dangerous target behavior, forcing the Warden to reject, scar, coarsen, or upgrade incomplete routes before promotion.
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