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Sharpening an upper bound on the adder and comparator depths

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Abstract

The upper bound log2 n + log2 log2 n + const is proved on the depth of the addition and comparison operators on n-bit numbers over the basis {&, ∨, ∼}.

Keywords

Industrial Mathematic Boolean Function Inductive Assumption Essential Variable Depth Circuit 
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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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