A function's Ehrenfeucht-Haussler rank exactly equals the minimum chain-of-thought steps for a single-layer hard-attention Transformer, with matching lower bounds for iterated composition and the k-th-one function.
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Ehrenfeucht-Haussler Rank and Chain of Thought
A function's Ehrenfeucht-Haussler rank exactly equals the minimum chain-of-thought steps for a single-layer hard-attention Transformer, with matching lower bounds for iterated composition and the k-th-one function.