Definition:Singular Boolean Function

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A singular boolean function $s : \mathbb B^k \to \mathbb B$ is a boolean function whose fiber of truth is a singleton subset of $\mathbb B^k$.

Also known as

Where the boolean domain $\mathbb B = \set {\T, \F}$ is given a logical interpretation, a singular boolean function is called a singular proposition.

That is, a singular proposition $P$ is one in which there exists one and only one model $\MM \models P$.

Source of Name

This entry was named for George Boole.