The "'circuit-size complexity "'of a Boolean function f is the minimal size of any circuit computing f.
32.
The "'circuit-depth complexity "'of a Boolean function f is the minimal depth of any circuit computing f.
33.
The Commodore Amiga's graphics chipset, for example, could combine three source bitmaps according to any of 256 boolean functions of three variables.
34.
A path from the root node to the 1-terminal represents a ( possibly partial ) variable assignment for which the represented Boolean function is true.
35.
Adnan Darwiche and his collaborators have shown that BDDs are one of several normal forms for Boolean functions, each induced by a different combination of requirements.
36.
In one algorithm, the non-tagging SNPs are represented as boolean functions of tag SNPs and set theory techniques are used to reduce search space.
37.
While not bent functions themselves ( these are not even Boolean functions ), they are closely related to the bent functions and have good nonlinearity properties.
38.
For example, a Boolean function which has no first order or second order correlations but which does have a third order correlation exhibits 2nd order correlation immunity.
39.
Research has been conducted into methods for easily generating Boolean functions of a given size which are guaranteed to have at least some particular order of correlation immunity.
40.
Conversely every monotone Boolean function defines in this way an antichain, of the minimal subsets of Boolean variables that can force the function value to be true.
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