Abstract
Attack-defense trees are a novel methodology for graphical security modelling and assessment. They extend the well- known formalism of attack trees by allowing nodes that represent defensive measures to appear at any level of the tree. This enlarges the modelling capabilities of attack trees and makes the new formalism suitable for representing interactions between an attacker and a defender. Our formalization supports different semantical approaches for which we provide usage scenarios. We also formalize how to quantitatively analyse attack and defense scenarios using attributes.