Category:Definitions/Exclusive Or

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This category contains definitions related to Exclusive Or.
Related results can be found in Category:Exclusive Or.

Exclusive or is a binary connective which can be written symbolically as $p \oplus q$ whose behaviour is as follows:

$p \oplus q$


Either $p$ is true or $q$ is true but not both.

or symbolically:

$p \oplus q := \paren {p \lor q} \land \neg \paren {p \land q}$

where $\land$ denotes the and operator and $\lor$ denotes the or operator.