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Boolean function
MyWikiBiz, Author Your Legacy — Tuesday February 20, 2018
Revision as of 20:24, 5 November 2015 by Jon Awbrey (Talk  contribs)
☞ This page belongs to resource collections on Logic and Inquiry.
A finitary boolean function is a function of the form \(f : \mathbb{B}^k \to \mathbb{B},\) where \(\mathbb{B} = \{ 0, 1 \}\) is a boolean domain and where \(k\!\) is a nonnegative integer. In the case where \(k = 0,\!\) the function is simply a constant element of \(\mathbb{B}.\)
There are \(2^{2^k}\) such functions. These play a basic role in questions of complexity theory as well as the design of circuits and chips for digital computers.
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