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HALF is a pioneering research initiative that formalizes advanced concepts in harmonic analysis using the Lean proof assistant. It addresses critical open problems in the field while developing tools for computer verification, aiming to enhance mathematical rigor and support future artificial intelligence applications.
Recent advances in formalization have brought the longstanding vision of machine-verifiable mathematics within reach.
Formed by world leading experts in harmonic analysis and formalization, HALF is the first research initiative to concurrently achieve breakthrough results in a foundational mathematical area while formalizing them in the proof assistant Lean.HALF tackles pivotal and long-standing open problems in harmonic analysis, with an emphasis on multilinear and nonlinear operators.
These fu…
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