PFR conjecture formalization (Lean)

Statement

The Polynomial Freiman–Ruzsa (PFR) conjecture formalized in Lean. Converts complex additive combinatorics into axiomatic code. Part of the digital axiomatization program; demonstrates that number theory can be machine-verified.

Formula

PFR: structure of approximate subgroups

Proof sketch

Brasca, Tao, collaborators: formalization in Lean 4. PFR conjecture (additive combinatorics) proved and verified.

Source

teorth/pfr, 2024. Tao et al., On the polynomial Freiman–Ruzsa conjecture.

Domains

mathematics, computer-science

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Canonical: https://axiom.tanaakk.com/theorem/pfr-formalization/