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Length generalization in transformers does not require double-exponential sample sizes: viewing inputs as compressed strings via power words slashes worst-case sample complexity down to polynomial.
Linear RNNs achieve transformer-like parallelization because they're essentially log-depth arithmetic circuits, while nonlinear RNNs are fundamentally limited by their ability to solve computationally harder problems.
Unlock formal verification for transformer-level programs by translating them into synchronous dataflow languages, enabling rigorous analysis and optimization.