1. Boolean algebra and Boolean functions
Boolean algebra is defined on the space E
2
consisting of the elements {0, 1}. There is a relation of order 0 < 1 and three basic operations. Complementation is an application of E
2
on E
2
. The operations union (still called "or", "max") which is denoted + and intersection (still called "and", "min") which is denoted · are applications of E
2
× E
2
® E
2
.
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Boolean algebra and Boolean functions