BooleanAlgebra - Dr. A's Wiki

See attachment:booleanalgebra.pdf / attachment:booleanalgebra.tex for complete pdf description.

A Boolean algebra B is a sextuple

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

The following rules hold for a boolean algebra:

   Distributive + over *   : x + (y * z) = (x + y) * (x + z)
   Addition of Complement  : x + x' = 1
   Additive Identity       : x + 0 = x
                           : 0 <> 1
   Commutivitity           : x * y = y * x
   Distributive * over +   : x * (y + z) = (x * y) + (x * z)
                           : x * x' = 0
   Multiplicative Identity : x * 1 = x
                           : x * x = x