Definition:Biconditional/Truth Table

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Definition

The characteristic truth table of the biconditional operator $p \iff q$ is as follows:

$\begin{array}{|cc||c|} \hline p & q & p \iff q \\ \hline F & F & T \\ F & T & F \\ T & F & F \\ T & T & T \\ \hline \end{array}$


Matrix Form

$\begin{array}{c|cc} \iff & T & F \\ \hline T & T & F \\ F & F & T \\ \end{array}$


Truth Table Number

The truth table number of the biconditional operator $p \iff q$ is as follows:

Ascending and descending order:

$1001$ or $TFFT$


Sources