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

  • Authors:
  • Anna Gál

  • Affiliations:
  • -

  • Venue:
  • SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
  • Year:
  • 1991

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Abstract

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.