STFT with Gaussian window performs L²-local stable phase retrieval at the constant function, with Lean 4 autoformalization for an extension to Hermite windows and finite spans of basis vectors.
Semi-autonomous formalization of the vlasov-maxwell-landau equilibrium
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An AI framework combining informal reasoning and formal verification resolves an open commutative algebra problem and produces a Lean 4-checked proof with minimal human input.
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$L^2$-Stability for STFT phase retrieval
STFT with Gaussian window performs L²-local stable phase retrieval at the constant function, with Lean 4 autoformalization for an extension to Hermite windows and finite spans of basis vectors.
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Automated Conjecture Resolution with Formal Verification
An AI framework combining informal reasoning and formal verification resolves an open commutative algebra problem and produces a Lean 4-checked proof with minimal human input.