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Boolean algebra
Meaning
Noun
●
In Algebra:
An
algebraic structure
(Σ,∨,∧,∼,0,1) where ∨ and ∧ are
idempotent
binary operators
, ∼ is a
unary
involutory
operator
(called "complement"), and 0 and 1 are
nullary
operator
s (i.e;
constants
),
such that
(Σ,∨,0) is a
commutative
monoid
, (Σ,∧,1) is a
commutative
monoid
, ∧ and ∨
distribute
with respect to
each other
,
and such
that
combining
two
complement
ary
elements
through one
binary operator
yields
the
identity
of the other
binary operator
. (See Boolean
algebra
(structure)#Axiomatics.)
●
In Algebra, Computing & Logic:
Specifically, an
algebra
in which all
elements
can take only one of two
values
(typically 0 and 1, or "true" and "false") and are
subject
to
operations
based on AND, OR and NOT
●
In Mathematics:
The study of such
algebras
; Boolean
logic
,
classical
logic
.
Sourced from
Wiktionary
Synonyms
Switching Algebra
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