On the maximum tolerable noise for reliable computation by formulas

  • Authors:
  • W. Evans;N. Pippenger

  • Affiliations:
  • Dept. of Comput. Sci., Arizona Univ., Tucson, AZ;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

It is shown that if a formula is constructed from noisy 2-input NAND gates, with each gate failing independently with probability E, then reliable computation can or cannot take place according as ε is less than or greater than ε0=(3-√7)/4=0.08856…