Definition:Exclusive Or/Truth Function

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Definition

The exclusive or connective defines the truth function $f^\oplus$ as follows:

\(\displaystyle f^\oplus \left({F, F}\right)\) \(=\) \(\displaystyle F\)
\(\displaystyle f^\oplus \left({F, T}\right)\) \(=\) \(\displaystyle T\)
\(\displaystyle f^\oplus \left({T, F}\right)\) \(=\) \(\displaystyle T\)
\(\displaystyle f^\oplus \left({T, T}\right)\) \(=\) \(\displaystyle F\)