Notes on “Analysis of Boolean Functi ons” by Ryan O'Donnell
Jon Awbrey <[email protected]>
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ABF. Note 1
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Re: “Analysis of Boolean Functions” by Ryan O'Donnell
At: http://www.contrib.andrew.cmu.edu/~ryanod/
Re: §3.3. Restrictions
At: http://www.contrib.andrew.cmu.edu/~ryanod/?p=560
In many settings it is useful to regard the boolean domain B = {0, 1} as a generic coordinate space on 2 elements,
introducing field properties and logical interpretations as independent considerations.
It is also useful to consider the coordinate space B^k and the function space B^k -> B as going together to form a
single categorical object, that we might think of as a k-dimensional universe of discourse.
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