Table 3.

Ban Logic inference rules.

Notation			Description
Message-Meaning-Rule			$\frac{S\mid \equiv S\stackrel{k}{\leftrightarrow }H,S⊲{\left\{X\right\}}_k}{S\mid \equiv H\mid \sim X}$
Jurisdiction-Rule			$\frac{S\mid \equiv H\to X,S\mid \equiv H\mid \equiv X}{S\mid \equiv X}$
Belief-Rule			$\frac{S\mid \equiv (X,Y)}{S\mid \equiv X}$
Nonce-Verification-Rule			$\frac{S\mid \equiv \#\left(X\right),S\mid \equiv H\mid \sim X}{S\mid \equiv H\mid \equiv X}$
Freshness-Rule			$\frac{S\mid \equiv \#\left(X\right)}{S\mid \equiv \#(X,Y)}$