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Additional
De Morgan algebra
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De Morgan algebra
In
mathematics
, a
De Morgan algebra
(named after
Augustus De Morgan
, a British mathematician and logician) is a structure
A
= (A, ∨, ∧, 0, 1, ¬) such that:
(
A
, ∨, ∧, 0, 1) is a
bounded
distributive lattice
, and
¬ is a De Morgan involution: ¬(
x
∧
y
) = ¬
x
∨ ¬
y
and ¬¬
x
=
x
. (i.e. an
involution
that additionally satisfies
De Morgan's laws
)
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