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A Boolean algebra B is a sextuple

  • <Domain, * (AND), + (OR), ' (complement), 0, 1>

Essentially this is an algebra such that a*a = a. 

   x + (y * z) = (x + y) * (x + z)
   x + x' = 1
   x + 0 = x
   0 <> 1
   x * y = y * x
   x * (y + z) = (x * y) + (x * z)
   x * x' = 0
   x * 1 = x

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BooleanAlgebra (last edited 2005-06-16 14:57:52 by yakko)