Boole's expansion theorem
id:
boole-s-expansion-theorem-0-10502900
title:
Boole's expansion theorem
text:
Boole's expansion theorem, often referred to as the Shannon expansion or decomposition, is the identity: F = x ⋅ F x + x ′ ⋅ F x ′ , where F is any Boolean function, x is a variable, x ′ is the complement of x , and F x and F x ′ are F with the argument x set equal to 1 and to 0 respectively. The terms F x and F x ′ are sometimes called the positive and negative Shannon cofactors, respectively, of F with respect to x . These are functions, computed by restrict operator, restrict and restrict
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https://en.wikipedia.org/wiki/Boole%27s_expansion_theorem
date created:
date modified:
2022-11-10T16:20:41Z
main entity:
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