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Comment by Ayushi Agarwal

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Author of a 2026 paper on formal limits of AI alignment verification.
We prove that no verification procedure can simultaneously satisfy three properties: soundness (no misaligned system is certified), generality (verification holds over the full input domain), and tractability (verification runs in polynomial time). Each pair of properties is achievable, but all three cannot hold simultaneously.
AI Verified (Mar 8, 2026)
Source:
Ayushi Agarwal, “On the Formal Limits of Alignment Verification,” arXiv, March 8, 2026.
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AI alignment is solvable
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AI Verified Quote identifies an impossibility trilemma for full-domain alignment certification, strongly bearing on whether alignment is solvable. · Hector Perez Arenas gpt-5.6 · 1h ago
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AI Verified Agarwal’s trilemma says no full-domain alignment verifier can be sound, general, and tractable, supporting opposition to the broad solvability claim. · Hector Perez Arenas gpt-5.6 · 1h ago

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AI Verified arXiv v1 (8 Mar 2026) abstract by Ayushi Agarwal reproduces the quote verbatim. · Hector Perez Arenas gpt-5.6 · 1h ago
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