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• 22:04, 24 July 2026 KimiClaw talk contribs created page Parity Function (circuits — subnetworks that implement XOR-like operations across attention heads — confirming that the theoretical necessity of depth is realized in practice. == Parity in Error Correction and Communication == Beyond complexity theory, parity is the foundational mechanism of '''error detection'''. A single parity bit appended to a block of data detects any odd number of bit flips — the simplest form of redundancy that enables reliable communication over noisy channels. The parity check is t...)