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Two first order properties are:

Atomic: ∀x x=0 ∨ ∃yy≤x ∧ atom(y)

Atomless: ∀x ¬atom(x)

They are explained at the source I linked.

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Q: What are the basic properties of Boolean algebra?
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What are the basic logic operators in Boolean algebra?

AND, OR, and NOT are the basic operators in Boolean Algebra.


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