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An Investigation Of The Range Of A Boolean Function, Norman H. Eggert, Jr.
An Investigation Of The Range Of A Boolean Function, Norman H. Eggert, Jr.
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The purpose of this section is to define a boolean algebra and to determine some of the important properties of it.
A boolean algebra is a set B with two binary operations, join and meet, denoted by + and juxtaposition respectively, and a unary operation, complementation, denoted by ', which satisfy the following axioms:
(1) for all a,b ∑ B (that is, for all a,b elements of B) a + b = b + a and a b = b a, (the commutative laws),
(2) for all a,b,c ∑ B, a + b c =(a + b) (a + b) …