Logical conjunction

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Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.

The truth table of $p~\operatorname {AND} ~q,$ also written $p\land q\!$ or $p\cdot q,\!$ appears below:

${\text{Logical Conjunction}}\!$
$p\!$	$q\!$	$p\land q$
$\operatorname {F}$	$\operatorname {F}$	$\operatorname {F}$
$\operatorname {F}$	$\operatorname {T}$	$\operatorname {F}$
$\operatorname {T}$	$\operatorname {F}$	$\operatorname {F}$
$\operatorname {T}$	$\operatorname {T}$	$\operatorname {T}$

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