# Definition:Tableau Confutation

## Definition

Let $\mathbf H$ be a set of WFFs of propositional logic.

A tableau confutation of $\mathbf H$ is a propositional tableau $T$ with root $\mathbf H$ such that every branch of $T$ is contradictory.

## Also known as

When there is no danger of confusion, one often encounters confutation instead of tableau confutation.

If $\mathbf H = \left\{{\mathbf A}\right\}$ is a singleton set, then a confutation of $\mathbf H$ can be referred to as a confutation of $\mathbf A$.

## Also defined as

Some sources stipulate that a tableau confutation be finite.

That this does not lead to problems follows from Tableau Confutation contains Finite Tableau Confutation.