Boolean Advanced Quiz 4

1. What algebraic classification describes a Boolean algebra that completely lacks any atoms?

2. What mathematical entity acts as the collection of all maximal ideals within a given Boolean algebra topology?

3. What specific name is given to an element in a Boolean ring that satisfies the identity equation $x^2 = x$?

4. What fundamental logical function can be completely modeled by an abstract Boolean value network called an unate gate circuit?

5. What structural metric measures the longest path running from any input pin to any output pin within a Boolean gate network?

6. What specific name is given to the unique prime implicants that must appear in every valid minimal sum-of-products form?

7. Which complexity class restricts Boolean circuits to have uniform polynomial size, log depth, and bounded fan-in gates?

8. Under Reed-Muller expansion logic, what specific type of polynomial expression matches an algebraic normal form?

9. What structural mapping feature of a Binary Decision Diagram ensures that no redundant decision nodes exist within the graph?

10. What structural requirement is forced upon a Binary Decision Diagram to make it a strictly canonical representation format?