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Abstract: The amplification of probabilistic Boolean formulas refers to combining independent copies of such formulas to reduce the error probability. Les Valiant used the amplification method to produce monotone Boolean formulas of size O(n5. 3) for the majority function of n variables.
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The amplification of probabilistic Boolean formulas refers to combining independent copies of such formulas to reduce the error probability.
The amplification of probabilistic Boolean formulas refers to combining independent copies of such formulas to reduce the error probability.
AMPLIFICATION OF PROBABILISTIC BOOLEAN FORMULAS. " \ f I, x;CCl\.s(ft«,(rc:f ... denote 13001ean function, Boolean forrnula, etc.). A probabilistic ...
Abstract. Among their many uses, growth processes (probabilistic amplification), were used for constructing reliable networks from unreliable components, ...
In these two papers the distributions of probability are defined inductively. (See also the notion of the amplification method in [l].) In the first step some.
They are then able to join his two lower bounds together and show that any read-once, not necessarily monotone, formula that amplifies (p-/sup 1///sub n/,p+/sup ...
A Boolean formula is said to be read once when each variable in the formula occurs at most once. In this paper it is proven that the size of monotone read-once ...
Akin to formulae in classical Boolean logic, those in pbl can be constructed as compositions of probabilistic operators, variables, and the constants {0, 1}.
In this paper a new technique is described for exactly identifying certain classes of read-once Boolean formulas. The method is based on sampling the ...