Table 2.

BAN logic notations.

Notations	Meaning
$P\mid \equiv X$	P believes X
$P⊲X$	P sees X
$P\mid \sim X$	P once said X
$P\Rightarrow X$	P has jurisdiction over X
$\#(X)$	X is fresh
$P\stackrel{K}{\leftrightarrow }Q$	P and Q may use the shared key K
$SK$	The session key shared between two principals
${\langle X\rangle }_Y$	X combined with the formula Y
${(X)}_K$	X hashed under the key K
${\{X\}}_K$	X encrypted under the key K