The model must be autoregressive. It receives a token sequence as input and predicts the next token. Output digits are generated one at a time, with each new token fed back as input for predicting the next. The carry propagation must emerge from this autoregressive process — not from explicit state variables passed between steps in Python.
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BuildKit gives you a content-addressable, parallelized, cached build engine for free. You don’t need to reinvent caching, parallelism, or reproducibility. You write a frontend that translates your spec into LLB, and BuildKit handles the rest.