Status: IN
XOR's three roles in the repo (cancellation for isolating unique elements, diffing for detecting bit changes, flipping for bitwise inversion) align naturally with the single-pass streaming paradigm — each role operates via simple accumulation or per-element transformation compatible with a left-to-right scan over O(1) state. This makes XOR a primary instantiation of the streaming shape for bit-manipulation problems, analogous to how frequency-counting accumulators serve the same role in other domains.
XOR is not merely a bit tool but the streaming paradigm specialized to the bit domain via algebraic compatibility
Depends on (SL): xor-universal-bit-primitive, single-pass-streaming-dominant-shape