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On the maximum tolerable noise for reliable computation by formulas

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2 Author(s)
Hajek, B. ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA ; Weller, T.

It is shown that if formulas constructed from error-prone three-input gates are used to compute Boolean functions, then a per-gate failure probability of 1/6 or more cannot be tolerated. The result is shown to be tight if the per-gate failure probability is constant and precisely known

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 2 )