Definition:Exclusive Or/Truth Function
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Definition
The exclusive or connective defines the truth function $f^\oplus$ as follows:
| \(\ds \map {f^\oplus} {\F, \F}\) | \(=\) | \(\ds \F\) | ||||||||||||
| \(\ds \map {f^\oplus} {\F, \T}\) | \(=\) | \(\ds \T\) | ||||||||||||
| \(\ds \map {f^\oplus} {\T, \F}\) | \(=\) | \(\ds \T\) | ||||||||||||
| \(\ds \map {f^\oplus} {\T, \T}\) | \(=\) | \(\ds \F\) |