%\usepackage{amsmath,amssymb,stmaryrd}
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\usepackage{url}
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\setbeamersize{text margin left=2mm, text margin right=1mm, %
  sidebar width left=0mm, sidebar width right=3mm}
\graphicspath{{../images/}}
\author{Stephen F.\ Siegel}
\institute{Department of Computer and Information Sciences\\University
  of Delaware}
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        University of Delaware $\diamond$
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% \newcommand{\rb}{\texttt{\char`\}}}
% \newcommand{\bs}{\texttt{\char`\\}}
% \newcommand{\ra}{\rightarrow}
% \renewcommand{\implies}{\Rightarrow}
% \renewcommand{\iff}{\Leftrightarrow}
% %\renewcommand{\emptyset}{\varphi}
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% \newcommand{\mpispin}{\textsc{Mpi-Spin}}
% \newcommand{\x}{\mathbf{x}}
% \newcommand{\y}{\mathbf{y}}
% \newcommand{\mat}[4]{\bigl(\begin{smallmatrix}#1&#2\\#3&#4\end{smallmatrix}\bigr)}

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% \newcommand{\vocab}{\mathcal{V}}
% \newcommand{\vars}{\mathcal{X}}
% \newcommand{\valof}[1]{\llbracket #1 \rrbracket}
% \newcommand{\valofma}[1]{\valof{#1}_{\model}(\alpha)}
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% \newcommand{\false}{\textbf{F}}
% \newcommand{\satisfies}{\models}
% \newcommand{\infers}{\vdash}
% \newcommand{\sep}{\hspace{3mm}}
% \newcommand{\Vars}{\textsf{Vars}}
% \newcommand{\FV}{\textsf{FV}}
% \newcommand{\fmap}[1]{\lceil#1\rceil}
% \newcommand{\myForm}{\textbf{Form}}
% \newcommand{\Prop}{\textbf{Prop}}
% \newcommand{\PL}{\textsf{PL}}
% \newcommand{\FOL}{\textsf{FOL}}
% \newcommand{\BV}{\textsf{BV}}
% \newtheorem{proposition}{Proposition}
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% \newcommand{\Herb}{\mathcal{H}}
% \newcommand{\DHerb}{D_\Herb}
% \newcommand{\IH}{I_\Herb}
% \newcommand{\sorts}{\mathcal{S}}
% \newcommand{\bool}{\textsf{bool}}

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% \newcommand{\awrite}{\textit{write}}
% \newcommand{\sarrow}{\leadsto}

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% \newcommand{\rwhile}{\textit{while}}
% \newcommand{\pskip}{\textbf{skip}}
% \newcommand{\pif}{\textbf{if}}
% \newcommand{\pelse}{\textbf{else}}
% \newcommand{\pthen}{\textbf{then}}

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% \newcommand{\E}{\text{E}}
% \newcommand{\W}{\text{W}}
% \newcommand{\RAA}{\text{RAA}}

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% \newcommand{\TT}{\opstyle{TT}}
% \newcommand{\LT}{\opstyle{LT}}
% \newcommand{\LL}{\opstyle{LL}}
% \newcommand{\TL}{\opstyle{TL}}
% \newcommand{\TE}{\opstyle{TE}}
% \newcommand{\ET}{\opstyle{ET}}

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% \newcommand{\AP}{\opstyle{AP}}
% \newcommand{\ul}{\opstyle{ul}}
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% \newcommand{\dl}{\opstyle{dl}}
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% \newcommand{\Post}{\opstyle{Post}}
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% %\newcommand{\true}{\textit{true}}
% %\newcommand{\false}{\textit{false}}
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% \newcommand{\Cond}{\opstyle{Cond}}
% \newcommand{\Loc}{\opstyle{Loc}}
% \newcommand{\Effect}{\opstyle{Effect}}
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% % use \xhookrightarrow{g:\alpha} instead
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% \newcommand{\xhra}[1]{\xhookrightarrow{#1}}

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% \newcommand{\CS}{\opstyle{CS}}

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% % CIVL-C keywords

% \newcommand{\cckey}{\$}
% \newcommand{\cc}[1]{\mbox{\textcolor{blue}{\texttt{\cckey{}#1}}}}
% \newcommand{\cproc}{\cc{proc}}
% \newcommand{\cself}{\cc{self}}
% \newcommand{\cinput}{\cc{input}}
% \newcommand{\coutput}{\cc{output}}
% \newcommand{\cspawn}{\cc{spawn}}
% \newcommand{\cwait}{\cc{wait}}
% \newcommand{\cassert}{\cc{assert}}
% \newcommand{\ctrue}{\cc{true}}
% \newcommand{\cfalse}{\cc{false}}
% \newcommand{\cassume}{\cc{assume}}
% \newcommand{\cwhen}{\cc{when}}
% \newcommand{\cchoose}{\cc{choose}}
% \newcommand{\cchooseint}{\cc{choose{\U}int}}
% \newcommand{\cinvariant}{\cc{invariant}}
% \newcommand{\crequires}{\cc{requires}}
% \newcommand{\censures}{\cc{ensures}}
% \newcommand{\cresult}{\cc{result}}
% \newcommand{\cat}{\texttt{@}}
% \newcommand{\ccollective}{\cc{collective}}

% \newcommand{\cheap}{\cc{heap}}
% \newcommand{\cscope}{\cc{scope}}
% \newcommand{\cregion}{\cc{region}}
% \newcommand{\cmalloc}{\cc{malloc}}




%%% new


% Type/font styles...
\newcommand{\upsty}[1]{\textup{\textsf{#1}}}
\newcommand{\setsty}[1]{\textup{\textsf{\textcolor{blue}{#1}}}}
%\newcommand{\code}[1]{\texttt{\textcolor{blue}{#1}}}
\newcommand{\ct}[1]{\texttt{#1}}

% Theorem environments...
%\newtheorem{theorem}{Theorem}
%\theoremstyle{definition}
%\newtheorem{definition}{Definition}[subsection]

% Symbols...
\renewcommand{\implies}{\Rightarrow}
\newcommand{\ra}{\rightarrow}
\newcommand{\B}{\mathbb{B}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\lb}{\texttt{\char`\{}}
\newcommand{\rb}{\texttt{\char`\}}}
\newcommand{\U}{\texttt{\char`\_}}
%\newcommand{\U}{{\ttfamily\symbol{'137}}}
\newcommand{\UU}{\U\U}

% Static notions...
\newcommand{\rootscope}{\setsty{root}} % root static scope
\newcommand{\start}{\setsty{start}} % start location $l_0$
\newcommand{\Var}{\setsty{Var}} % set of all variables
\newcommand{\bool}{\setsty{bool}} % boolean type
\newcommand{\proc}{\setsty{proc}} % process reference type
\newcommand{\Val}{\setsty{Val}} % set of all values
\newcommand{\vtype}{\setsty{vtype}} % type of variable
\newcommand{\etype}{\setsty{etype}} % type of expression
\newcommand{\Type}{\setsty{Type}} % set of all types
\newcommand{\Expr}{\setsty{Expr}} % set of all expressions
\newcommand{\Eval}{\setsty{Eval}} % set of all valuations on variables
\newcommand{\eval}{\setsty{eval}} % evaluation of an expression
\newcommand{\sparent}{\setsty{sparent}} % parent of a static scope
\newcommand{\dparent}{\setsty{dparent}} % parent of a dynamic scope
\newcommand{\fscope}{\setsty{fscope}} % scope of a function
\newcommand{\lscope}{\setsty{lscope}} % scope of a location
\newcommand{\static}{\setsty{static}} % static scope associated to a dynamic one
\newcommand{\stack}{\setsty{stack}} % call stack
\newcommand{\vars}{\setsty{vars}} % variables declared in a scope
\newcommand{\ancestors}{\setsty{ancestors}} % as in tree
\newcommand{\descendants}{\setsty{descendants}} % as in tree
\newcommand{\returntype}{\setsty{returnType}} % function's return type
\newcommand{\numparams}{\setsty{numParams}} % number of params for a func.
\newcommand{\params}{\setsty{params}} % sequence of formal parameters
\newcommand{\void}{\setsty{void}} % type for func. returning nothing
\newcommand{\Loc}{\setsty{Loc}} % locations in function's trans. sys.
\newcommand{\Func}{\mathcal{F}} % set of function symbols
\newcommand{\true}{\textit{true}} % boolean value true
\newcommand{\false}{\textit{false}} % boolean value false
\newcommand{\default}{\setsty{default}} % default value of type
\newcommand{\len}{\setsty{length}} % length of sequence
\newcommand{\func}{\setsty{func}} % function a static scope belongs to

% Dynamic notions...
\newcommand{\fnode}{\setsty{fnode}} % function node of dyscope
\newcommand{\State}{\setsty{State}} % set of all states of model
\newcommand{\deval}{\setsty{deval}} % valuation on dyscope
\newcommand{\droot}{\setsty{droot}} % root dyscope
\newcommand{\Frame}{\setsty{Frame}} % set of activation frames


% CIVL-C keywords

\newcommand{\cckey}{\$}
\newcommand{\cc}[1]{\mbox{\textcolor{blue}{\texttt{\cckey{}#1}}}}
\newcommand{\cproc}{\cc{proc}}
\newcommand{\cself}{\cc{self}}
\newcommand{\cinput}{\cc{input}}
\newcommand{\coutput}{\cc{output}}
\newcommand{\cspawn}{\cc{spawn}}
\newcommand{\cwait}{\cc{wait}}
\newcommand{\cassert}{\cc{assert}}
\newcommand{\ctrue}{\cc{true}}
\newcommand{\cfalse}{\cc{false}}
\newcommand{\cassume}{\cc{assume}}
\newcommand{\catom}{\cc{atom}}
\newcommand{\catomic}{\cc{atomic}}
\newcommand{\cwhen}{\cc{when}}
\newcommand{\cchoose}{\cc{choose}}
\newcommand{\cchooseint}{\cc{choose{\U}int}}
\newcommand{\cinvariant}{\cc{invariant}}
\newcommand{\crequires}{\cc{requires}}
\newcommand{\censures}{\cc{ensures}}
\newcommand{\cexit}{\cc{exit}}
\newcommand{\cresult}{\cc{result}}
\newcommand{\cat}{\texttt{@}}
\newcommand{\ccollective}{\cc{collective}}

%\newcommand{\cheap}{\cc{heap}}
\newcommand{\cscope}{\cc{scope}}
\newcommand{\cscopeof}{\cc{scopeof}}
\newcommand{\cscopeparent}{\cc{scope{\U}parent}}
\newcommand{\cscoperoot}{\cc{root}}
\newcommand{\chere}{\cc{here}}
\newcommand{\cregion}{\cc{region}}
\newcommand{\cmalloc}{\cc{malloc}}
\newcommand{\cfree}{\cc{free}}

\newcommand{\cbundle}{\cc{bundle}}
\newcommand{\cmessage}{\cc{message}}
\newcommand{\ccomm}{\cc{comm}}
\newcommand{\cgcomm}{\cc{gcomm}}

\newcommand{\cforall}{\cc{forall}}
\newcommand{\cexists}{\cc{exists}}
\newcommand{\cimplies}{\ct{=>}}