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\documentclass[11pt,a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage{isabelle,isabellesym}
% further packages required for unusual symbols (see also
% isabellesym.sty), use only when needed
%\usepackage{amssymb}
%for \<leadsto>, \<box>, \<diamond>, \<sqsupset>, \<mho>, \<Join>,
%\<lhd>, \<lesssim>, \<greatersim>, \<lessapprox>, \<greaterapprox>,
%\<triangleq>, \<yen>, \<lozenge>
%\usepackage{eurosym}
%for \<euro>
%\usepackage[only,bigsqcap]{stmaryrd}
%for \<Sqinter>
%\usepackage{eufrak}
%for \<AA> ... \<ZZ>, \<aa> ... \<zz> (also included in amssymb)
%\usepackage{textcomp}
%for \<onequarter>, \<onehalf>, \<threequarters>, \<degree>, \<cent>,
%\<currency>
% this should be the last package used
\usepackage{pdfsetup}
% urls in roman style, theory text in math-similar italics
\urlstyle{rm}
\isabellestyle{it}
% for uniform font size
%\renewcommand{\isastyle}{\isastyleminor}
\begin{document}
\title{Attack Trees in Isabelle for GDPR compliance of IoT healthcare systems}
\author{Florian Kamm\"uller}
\maketitle
\begin{abstract}
In this article, we present a proof theory for Attack Trees. Attack Trees are a well established and
useful model for the construction of attacks on systems since they allow a stepwise exploration of
high level attacks in application scenarios. Using the expressiveness of Higher Order Logic in Isabelle,
we succeed in developing a generic theory of Attack Trees with a state-based semantics based on Kripke
structures and CTL (see \cite{kam:16b} for more details).
The resulting framework allows mechanically supported logic analysis of the meta-theory
of the proof calculus of Attack Trees and at the same time the developed proof theory enables application
to case studies.
A central correctness and completeness result proved in Isabelle establishes a connection
between the notion of Attack tTree validity and CTL.
The application is illustrated on the example of a healthcare IoT system and GDPR compliance verification.
A more detailed account of the Attack Tree formalisation is given in \cite{kam:18b} and the case study
is described in detail in \cite{kam:18a}.
%bla \cite{kk:16}\cite{kp:16}\cite{mw:09}\cite{kk:20}
\end{abstract}
\tableofcontents
% sane default for proof documents
\parindent 0pt\parskip 0.5ex
% generated text of all theories
\input{session}
% optional bibliography
\bibliographystyle{abbrv}
\bibliography{root}
\end{document}
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