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Boolean algebra

Meaning

Noun

In Algebra:
An
(Σ,∨,∧,∼,0,1) where ∨ and ∧ are
, ∼ is a
(called "complement"), and 0 and 1 are
s (i.e;
),
(Σ,∨,0) is a
, (Σ,∧,1) is a
, ∧ and ∨
,
that
two
ary
through one
the
of the other
. (See Boolean
(structure)#Axiomatics.)
In Algebra, Computing & Logic:
Specifically, an
in which all
can take only one of two
(typically 0 and 1, or "true" and "false") and are
to
based on AND, OR and NOT
In Mathematics:
The study of such
; Boolean
,
.
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