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This repository contains self-contained, machine-checked certificates for the explicit rounding schemes in the paper: each beats Krivine's bound on the real Grothendieck constant K_G < pi / (2 rho_*) ...

A small-scale reproduction and mechanistic analysis of the grokking phenomenon (Power et al., 2022) on modular addition, following the Fourier-circuit analysis of Nanda et al. (2023), with an original ...