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\documentclass[11pt,a4paper]{article}
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\usepackage{isabelle,isabellesym}
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% further packages required for unusual symbols (see also
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% isabellesym.sty), use only when needed
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%\usepackage{amssymb}
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%for \<leadsto>, \<box>, \<diamond>, \<sqsupset>, \<mho>, \<Join>,
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%\<lhd>, \<lesssim>, \<greatersim>, \<lessapprox>, \<greaterapprox>,
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%\<triangleq>, \<yen>, \<lozenge>
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%\usepackage[greek,english]{babel}
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%option greek for \<euro>
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%option english (default language) for \<guillemotleft>, \<guillemotright>
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%\usepackage[latin1]{inputenc}
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%for \<onesuperior>, \<onequarter>, \<twosuperior>, \<onehalf>,
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%\<threesuperior>, \<threequarters>, \<degree>
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%\usepackage[only,bigsqcap]{stmaryrd}
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%for \<Sqinter>
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%\usepackage{eufrak}
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%for \<AA> ... \<ZZ>, \<aa> ... \<zz> (also included in amssymb)
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%\usepackage{textcomp}
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%for \<cent>, \<currency>
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% this should be the last package used
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\usepackage{pdfsetup}
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% urls in roman style, theory text in math-similar italics
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\urlstyle{rm}
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\isabellestyle{it}
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\begin{document}
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\title{State Spaces: The Locale Way}
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\author{Norbert Schirmer}
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\maketitle
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\tableofcontents
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%\parindent 0pt\parskip 0.5ex
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\section{Introduction}
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These theories introduce a new command called \isacommand{statespace}.
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It's usage is similar to \isacommand{record}s. However, the command does not introduce a new type but an
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abstract specification based on the locale infrastructure. This leads
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to extra flexibility in composing state space components, in particular
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multiple inheritance and renaming of components.
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The state space infrastructure basically manages the following things:
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\begin{itemize}
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\item distinctness of field names
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\item projections~/ injections from~/ to an abstract \emph{value} type
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\item syntax translations for lookup and update, hiding the projections and injections
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\item simplification procedure for lookups~/ updates, similar to records
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\end{itemize}
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\paragraph{Overview}
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In Section \ref{sec:DistinctTreeProver} we define distinctness of the nodes in a binary tree and provide the basic prover tools to support efficient distinctness reasoning for field names managed by
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state spaces. The state is represented as a function from (abstract) names to (abstract) values as
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introduced in Section \ref{sec:StateFun}. The basic setup for state spaces is in Section
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\ref{sec:StateSpaceLocale}. Some syntax for lookup and updates is added in Section \ref{sec:StateSpaceSyntax}. Finally Section \ref{sec:Examples} explains the usage of state spaces by examples.
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% generated text of all theories
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\input{session}
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% optional bibliography
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%\bibliographystyle{abbrv}
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%\bibliography{root}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: t
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%%% End:
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