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Attack Trees (ATs) are a widely used tool for security analysis. ATs can be employed in quantitative security analysis through metrics, which assign a security value to an AT. Many different AT metrics exist, and there exist multiple…

Cryptography and Security · Computer Science 2024-01-19 Milan Lopuhaä-Zwakenberg

Attack Trees (AT) are a popular formalism for security analysis. They are meant to display an attacker's goal decomposed into attack steps needed to achieve it and compute certain security metrics (e.g., attack cost, probability, and…

Cryptography and Security · Computer Science 2025-07-01 Ítalo Oliveira , Stefano M. Nicoletti , Gal Engelberg , Mattia Fumagalli , Dan Klein , Giancarlo Guizzardi

Critical infrastructure systems - for which high reliability and availability are paramount - must operate securely. Attack trees (ATs) are hierarchical diagrams that offer a flexible modelling language used to assess how systems can be…

Cryptography and Security · Computer Science 2024-05-20 Stefano M. Nicoletti , Milan Lopuhaä-Zwakenberg , E. Moritz Hahn , Mariëlle Stoelinga

Context and Motivation Attack-Defense Trees (ADTs) are a graphical notation used to model and assess security requirements. ADTs are widely popular, as they can facilitate communication between different stakeholders involved in system…

Software Engineering · Computer Science 2024-04-10 Giovanna Broccia , Maurice H. ter Beek , Alberto Lluch Lafuente , Paola Spoletini , Alessio Ferrari

Numerous analysis methods for quantitative attack tree analysis have been proposed. These algorithms compute relevant security metrics, i.e. performance indicators that quantify how good the security of a system is; typical metrics being…

Cryptography and Security · Computer Science 2022-12-13 Milan Lopuhaä-Zwakenberg , Carlos E. Budde , Mariëlle Stoelinga

Numerous analysis methods for quantitative attack tree analysis have been proposed. These algorithms compute relevant security metrics, i.e. performance indicators that quantify how good the security of a system is, such as the most likely…

Cryptography and Security · Computer Science 2022-09-29 Carlos E. Budde , Mariëlle Stoelinga

Attack trees (ATs) are a widely deployed modelling technique to categorize potential attacks on a system. An attacker of such a system aims at doing as much damage as possible, but might be limited by a cost budget. The maximum possible…

Cryptography and Security · Computer Science 2023-04-13 Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

Attack trees are a popular way to represent and evaluate potential security threats on systems or infrastructures. The goal of this work is to provide a framework allowing to express and check whether an attack tree is consistent with the…

Cryptography and Security · Computer Science 2018-02-12 Maxime Audinot , Sophie Pinchinat , Barbara Kordy

Risk assessment of cyber-physical systems, such as power plants, connected devices and IT-infrastructures has always been challenging: safety (i.e. absence of unintentional failures) and security (i.e. no disruptions due to attackers) are…

Cryptography and Security · Computer Science 2019-05-10 Étienne André , Didier Lime , Mathias Ramparison , Mariëlle Stoelinga

Attack-defense trees are a novel methodology for graphical security modeling and assessment. The methodology includes visual, intuitive tree models whose analysis is supported by a rigorous mathematical formalism. Both, the intuitive and…

Cryptography and Security · Computer Science 2012-10-31 Barbara Kordy , Sjouke Mauw , Patrick Schweitzer

Effective risk management in cybersecurity requires a thorough understanding of the interplay between attacker capabilities and defense strategies. Attack-Defense Trees (ADTs) are a commonly used methodology for representing this interplay;…

Cryptography and Security · Computer Science 2025-04-18 Danut-Valentin Copae , Reza Soltani , Milan Lopuhaä-Zwakenberg

Attack Trees are a graphical model of security used to study threat scenarios. While visually appealing and supported by solid theories and effective tools, one of their main drawbacks remains the amount of effort required by security…

Cryptography and Security · Computer Science 2024-09-13 Alyzia-Maria Konsta , Gemma Di Federico , Alberto Lluch Lafuente , Andrea Burattin

Attack-defense trees (ADTs) are a prominent graphical threat modeling method that is highly recommended for analyzing and communicating security-related information. Despite this, existing empirical studies of attack trees have established…

Cryptography and Security · Computer Science 2025-04-01 Nathan Daniel Schiele , Olga Gadyatskaya

Attack-Defence Trees (ADTs) are well-suited to assess possible attacks to systems and the efficiency of counter-measures. In this paper, we first enrich the available constructs with reactive patterns that cover further security scenarios,…

Cryptography and Security · Computer Science 2019-10-24 Jaime Arias , Carlos E. Budde , Wojciech Penczek , Laure Petrucci , Mariëlle Stoelinga

We provide the first formal foundation of SAND attack trees which are a popular extension of the well-known attack trees. The SAND attack tree formalism increases the expressivity of attack trees by introducing the sequential conjunctive…

Cryptography and Security · Computer Science 2015-03-10 Ravi Jhawar , Barbara Kordy , Sjouke Mauw , Sasa Radomirovic , Rolando Trujillo-Rasua

Graphical security models constitute a well-known, user-friendly way to represent the security of a system. These kinds of models are used by security experts to identify vulnerabilities and assess the security of a system. The manual…

Cryptography and Security · Computer Science 2023-09-26 Alyzia-Maria Konsta , Beatrice Spiga , Alberto Lluch Lafuente , Nicola Dragoni

Joint safety and security analysis of cyber-physical systems is a necessary step to correctly capture inter-dependencies between these properties. Attack-Fault Trees represent a combination of dynamic Fault Trees and Attack Trees and can be…

Cryptography and Security · Computer Science 2023-09-19 Raffaela Groner , Thomas Witte , Alexander Raschke , Sophie Hirn , Irdin Pekaric , Markus Frick , Matthias Tichy , Michael Felderer

Artificial Intelligence (AI) has long pursued models, theories, and techniques to imbue machines with human-like general intelligence. Yet even the currently predominant data-driven approaches in AI seem to be lacking humans' unique ability…

Artificial Intelligence · Computer Science 2018-10-18 Rafik Hadfi

Attack trees and attack graphs are both common graphical threat models used by organizations to better understand possible cybersecurity threats. These models have been primarily seen as separate entities, to be used and researched in…

Cryptography and Security · Computer Science 2021-10-07 Nathan Daniel Schiele , Olga Gadyatskaya

We provide an overview of three different query languages whose objective is to specify properties on the highly popular formalisms of fault trees (FTs) and attack trees (ATs). These are BFL, a Boolean Logic for FTs, PFL, a probabilistic…

Logic in Computer Science · Computer Science 2024-01-30 Stefano M. Nicoletti , Milan Lopuhaä-Zwakenberg , E. Moritz Hahn , Mariëlle Stoelinga
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