Boolean domain
In
mathematics and
abstract algebra, a
Boolean domain is a
set consisting of exactly two elements whose interpretations include
false and
true. In mathematics and
theoretical computer science, a Boolean domain is usually written as {0,1} or
bot→(
.The
algebraic structure that naturally builds on a Boolean domain is the
Boolean algebra with two elements. The
initial object in the
category of
bounded lattices is a Boolean domain. The
Sierpiński space, a certain
topological space with two elements, resembles a Boolean domain.In
computer science, a
Boolean variable is a
variable that takes values in some Boolean domain. Some
programming languages feature
reserved words or symbols for the elements of the Boolean domain, for example
false and
true. However, many programming languages do not have a
Boolean datatype in the strict sense. In
C or
BASIC, for example, falsity is represented by the number 0 and truth is represented by the number 1 or -1, respectively, and all variables that can take these values can also take any other numerical values.
See also
ブール領域Domínio booleano
(...as imported from WP)
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