src/HOL/Hoare_Parallel/document/root.tex
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     1 
       
     2 % $Id$
       
     3 
       
     4 \documentclass[11pt,a4paper]{report}
       
     5 \usepackage{graphicx}
       
     6 \usepackage[english]{babel}
       
     7 \usepackage{isabelle,isabellesym}
       
     8 \usepackage{pdfsetup}
       
     9 
       
    10 \urlstyle{rm}
       
    11 \isabellestyle{it}
       
    12 
       
    13 \renewcommand{\isamarkupheader}[1]{#1}
       
    14 
       
    15 \begin{document}
       
    16 
       
    17 \title{Hoare Logic for Parallel Programs}
       
    18 \author{Leonor Prensa Nieto}
       
    19 \maketitle
       
    20 
       
    21 \begin{abstract}\noindent
       
    22   In the following theories a formalization of the Owicki-Gries and
       
    23   the rely-guarantee methods is presented. These methods are widely
       
    24   used for correctness proofs of parallel imperative programs with
       
    25   shared variables.  We define syntax, semantics and proof rules in
       
    26   Isabelle/HOL.  The proof rules also provide for programs
       
    27   parameterized in the number of parallel components. Their
       
    28   correctness w.r.t.\ the semantics is proven.  Completeness proofs
       
    29   for both methods are extended to the new case of parameterized
       
    30   programs. (These proofs have not been formalized in Isabelle. They
       
    31   can be found in~\cite{Prensa-PhD}.)  Using this formalizations we
       
    32   verify several non-trivial examples for parameterized and
       
    33   non-parameterized programs.  For the automatic generation of
       
    34   verification conditions with the Owicki-Gries method we define a
       
    35   tactic based on the proof rules.  The most involved examples are the
       
    36   verification of two garbage-collection algorithms, the second one
       
    37   parameterized in the number of mutators.
       
    38 
       
    39 For excellent descriptions of this work see
       
    40 \cite{NipkowP-FASE99,PrenEsp00,Prensa-PhD,Prensa-ESOP03}.
       
    41 
       
    42 \end{abstract}
       
    43 
       
    44 \pagestyle{plain}
       
    45 \thispagestyle{empty}
       
    46 \tableofcontents
       
    47 
       
    48 \clearpage
       
    49 
       
    50 \begin{center}
       
    51   \includegraphics[scale=0.7]{session_graph}  
       
    52 \end{center}
       
    53 
       
    54 \newpage
       
    55 
       
    56 \parindent 0pt\parskip 0.5ex
       
    57 \input{session}
       
    58 
       
    59 \bibliographystyle{plain}
       
    60 \bibliography{root}
       
    61 
       
    62 \end{document}