带噪声门的可靠布尔电路复杂度的下界

[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science Pub Date : 1991-09-01 DOI:10.1109/SFCS.1991.185424

A. Gál

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引用次数: 12

摘要

证明了当电路的门以固定的正概率独立失效时，任何灵敏度为s的布尔函数的可靠计算都需要ω (s log s)门。即使s是块灵敏度而不是布尔函数的灵敏度，ω (s log s)边界也成立。文中还提到了一些尚未解决的问题。

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Lower bounds for the complexity of reliable Boolean circuits with noisy gates

It is proved that the reliable computation of any Boolean function with, sensitivity s requires Omega (s log s) gates if the gates of the circuit fail independently with a fixed positive probability. The Omega (s log s) bound holds even if s is the block sensitivity instead of the sensitivity of the Boolean function. Some open problems are mentioned.<>

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[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science

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