# Definition:Singular Boolean Function

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## Definition

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.

## Sources

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