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\documentclass[10pt,DIV16,a4paper,abstract=true,twoside=semi,openright]
{scrreprt}
\usepackage[T1]{fontenc}
\usepackage[english]{babel}
\usepackage[numbers, sort&compress]{natbib}
\usepackage{isabelle,isabellesym}
\usepackage{booktabs}
\usepackage{paralist}
\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{xspace}
\usepackage{xcolor}
\usepackage{hyperref}
\pagestyle{headings}
\isabellestyle{default}
\setcounter{tocdepth}{1}
\newcommand{\ie}{i.\,e.\xspace}
\newcommand{\eg}{e.\,g.\xspace}
\newcommand{\thy}{\isabellecontext}
\renewcommand{\isamarkupsection}[1]{%
\begingroup%
\def\isacharunderscore{\textunderscore}%
\section{#1 (\thy)}%
\endgroup%
}
\title{Automated Stateful Protocol Verification}
\author{%
\begin{minipage}{.8\textwidth}
\centering
\href{https://www.dtu.dk/english/service/phonebook/person?id=64207}{Andreas~V.~Hess}\footnotemark[1]
\qquad\qquad
\href{https://people.compute.dtu.dk/samo/}{Sebastian~M{\"o}dersheim}\footnotemark[1]
\\
\href{http://www.brucker.ch/}{Achim~D.~Brucker}\footnotemark[2]
\qquad\qquad
\href{https://people.compute.dtu.dk/andschl}{Anders~Schlichtkrull}
\end{minipage}
}
\publishers{%
\footnotemark[1]~DTU Compute, Technical University of Denmark, Lyngby, Denmark\texorpdfstring{\\}{, }
\texttt{\{avhe, samo, andschl\}@dtu.dk}\\[2em]
%
\footnotemark[2]~
Department of Computer Science, University of Exeter, Exeter, UK\texorpdfstring{\\}{, }
\texttt{a.brucker@exeter.ac.uk}
%
}
\begin{document}
\maketitle
\begin{abstract}
\begin{quote}
In protocol verification we observe a wide spectrum from fully
automated methods to interactive theorem proving with proof
assistants like Isabelle/HOL.
In this AFP entry, we present a fully-automated approach for
verifying stateful security protocols, i.e., protocols with mutable
state that may span several sessions.
The approach supports reachability goals like secrecy and
authentication.
We also include a simple user-friendly transaction-based
protocol specification language that is embedded into Isabelle.
\bigskip
\noindent{\textbf{Keywords:}}
Fully automated verification, stateful security protocols
\end{quote}
\end{abstract}
\tableofcontents
\cleardoublepage
\chapter{Introduction}
In protocol verification we observe a wide spectrum from fully
automated methods to interactive theorem proving with proof
assistants like Isabelle/HOL. The latter provide overwhelmingly high
assurance of the correctness, which automated methods often cannot:
due to their complexity, bugs in such automated verification tools
are likely and thus the risk of erroneously verifying a flawed
protocol is non-negligible. There are a few works that try to
combine advantages from both ends of the spectrum: a high degree of
automation and assurance.
Inspired by~\cite{brucker.ea:integrating:2009}, we present here a
first step towards achieving this for a more challenging class of
protocols, namely those that work with a mutable long-term state. To
our knowledge this is the first approach that achieves fully
automated verification of stateful protocols in an LCF-style theorem
prover. The approach also includes a simple user-friendly
transaction-based protocol specification language embedded into
Isabelle, and can also leverage a number of existing results such as
soundness of a typed model (see,
e.g.,~\cite{hess:typing:2018,hess.ea:formalizing:2017,hess.ea:typing:2018})
and compositionality (see,
e.g.,~\cite{hess:typing:2018,hess.ea:stateful:2018}). The Isabelle
formalization extends the AFP entry on stateful protocol composition and
typing~\cite{hess.ea:stateful:2020}.
\begin{figure}
\centering
\includegraphics[height=\textheight]{session_graph}
\caption{The Dependency Graph of the Isabelle Theories.\label{fig:session-graph}}
\end{figure}
The rest of this document is automatically generated from the
formalization in Isabelle/HOL, i.e., all content is checked by
Isabelle. Overall, the structure of this document follows the
theory dependencies (see \autoref{fig:session-graph}): We start with
the formal framework for verifying stateful security protocols
(\autoref{cha:verification}). We continue with the setup for
supporting the high-level protocol specifications language for
security protocols (the Trac format) and the implementation of the
fully automated proof tactics (\autoref{cha:trac}). Finally, we
present examples (\autoref{cha:examples}).
\paragraph{Acknowledgments}
This work was supported by the Sapere-Aude project ``Composec: Secure Composition of Distributed Systems'', grant 4184-00334B of the Danish Council for Independent Research, by the EU H2020 project no. 700321 ``LIGHTest: Lightweight Infrastructure for Global Heterogeneous Trust management in support of an open Ecosystem of Trust schemes'' (lightest.eu) and by the ``CyberSec4Europe'' European Union's Horizon 2020 research and innovation programme under grant agreement No 830929.
\clearpage
\chapter{Stateful Protocol Verification}
\label{cha:verification}
\input{Transactions.tex}
\input{Term_Abstraction.tex}
\input{Stateful_Protocol_Model.tex}
\input{Term_Variants.tex}
\input{Term_Implication.tex}
\input{Stateful_Protocol_Verification.tex}
\chapter{Trac Support and Automation}
\label{cha:trac}
\input{Eisbach_Protocol_Verification.tex}
\input{ml_yacc_lib.tex}
\input{trac_term.tex}
\input{trac_fp_parser.tex}
\input{trac_protocol_parser.tex}
\input{trac.tex}
\chapter{Examples}
\label{cha:examples}
\input{Keyserver.tex}
\input{Keyserver2.tex}
\input{Keyserver_Composition.tex}
\input{PKCS_Model03.tex}
\input{PKCS_Model07.tex}
\input{PKCS_Model09.tex}
% \input{session}
{\small
\bibliographystyle{abbrvnat}
\bibliography{root}
}
\end{document}
\endinput
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