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In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false.A Boolean expression may be composed of a combination of the Boolean constants True/False or Yes/No, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions.
In programming languages with a built-in Boolean data type, such as Pascal, C, Python or Java, the comparison operators such as > and ≠ are usually defined to return a Boolean value. Conditional and iterative commands may be defined to test Boolean-valued expressions.
In others (Ada, Java, Delphi), both short-circuit and standard Boolean operators are available. For some Boolean operations, like exclusive or (XOR), it is impossible to short-circuit, because both operands are always needed to determine a result. Short-circuit operators are, in effect, control structures rather than simple arithmetic operators ...
The semantics of operators particularly depends on value, evaluation strategy, and argument passing mode (such as Boolean short-circuiting). Simply, an expression involving an operator is evaluated in some way, and the resulting value may be just a value (an r-value), or may be an object allowing assignment (an l-value).
In some programming languages, e.g. Java, the term conditional operator refers to short circuit boolean operators && and ||. The second expression is evaluated only when the first expression is not sufficient to determine the value of the whole expression. [1]
A law of Boolean algebra is an identity such as x ∨ (y ∨ z) = (x ∨ y) ∨ z between two Boolean terms, where a Boolean term is defined as an expression built up from variables and the constants 0 and 1 using the operations ∧, ∨, and ¬. The concept can be extended to terms involving other Boolean operations such as ⊕, →, and ≡ ...
Boolean operator (computer programming), part of a Boolean expression in a computer programming language; An operation or operator as characterized in the logical truth table; Logical operator, in logic, a logical constant used to connect two or more formulas; Set operation (Boolean), a set-theoretic operation in the algebra of sets (union ...
Boolean function, a function that determines Boolean values or operators; Boolean model (probability theory), a model in stochastic geometry; Boolean network, a certain network consisting of a set of Boolean variables whose state is determined by other variables in the network; Boolean processor, a 1-bit variable computing unit; Boolean ring, a ...