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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > NAND GATES:
Reports tagged with NAND gates:
TR23-184 | 22nd November 2023
Gabriel Bathie, Ryan Williams

Towards Stronger Depth Lower Bounds

A fundamental problem in circuit complexity is to find explicit functions that require large depth to compute. When considering the natural DeMorgan basis of $\{\text{OR},\text{AND}\}$, where negations incur no cost, the best known depth lower bounds for an explicit function in NP have the form $(3-o(1))\log_2 n$, established by H{\aa}stad ... more >>>




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