Transformers solve these using attention (for alignment), MLPs (for arithmetic), and autoregressive generation (for carry propagation). The question is how small the architecture can be while still implementing all three.
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Again, if there's no more used members of the page,
None of this is wrong. These guarantees matter in the browser where streams cross security boundaries, where cancellation semantics need to be airtight, where you do not control both ends of a pipe. But on the server, when you are piping React Server Components through three transforms at 1KB chunks, the cost adds up.
This is easy to incrementalize, as changing a few letters in the input