setup.tex 13.1 KB
Newer Older
1 2 3 4 5 6

\makeatletter%
\@ifundefined{basedir}{%
\newcommand\basedir{}%
}{}%
\makeatother%
7
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
8
%% PACKAGES
9
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
10

11 12 13 14 15 16 17
\usepackage{mathtools}
%\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{stmaryrd}

18
\usepackage{\basedir mathpartir}
19

20 21
\usepackage{array}
\usepackage{tabu}
22 23 24

\usepackage{dashbox}

25
\usepackage{\basedir pftools}
26 27 28 29

\usepackage{xcolor}  % for print version

\usepackage{graphicx}
30 31 32 33 34 35 36 37 38 39 40 41
\usepackage{tikz}
\usepackage{scalerel}

\usepackage{rotating}
\usepackage{xparse}
\usepackage{xstring}
\usepackage{semantic}
\usepackage{csquotes}

\usepackage{hyperref}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
42
%% SETUP
43
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
44
\SetSymbolFont{stmry}{bold}{U}{stmry}{m}{n} % this fixes warnings when \boldsymbol is used with stmaryrd included
45 46 47 48 49 50 51 52 53 54

\extrarowheight=\jot	% else, arrays are scrunched compared to, say, aligned
\newcolumntype{.}{@{}}
% Array {rMcMl} modifies array {rcl}, putting mathrel-style spacing
% around the centered column. (We used this, for example, in laying
% out some of Iris' axioms. Generally, aligned is simpler but aligned
% does not work in mathpar because \\ inherits mathpar's 2em vskip.)
% The capital M stands for THICKMuskip. The smaller medmuskip would be
% right for mathbin-style spacing.
\newcolumntype{M}{@{\mskip\thickmuskip}}
55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

\definecolor{StringRed}{rgb}{.637,0.082,0.082}
\definecolor{CommentGreen}{rgb}{0.0,0.55,0.3}
\definecolor{KeywordBlue}{rgb}{0.0,0.3,0.55}
\definecolor{LinkColor}{rgb}{0.55,0.0,0.3}
\definecolor{CiteColor}{rgb}{0.55,0.0,0.3}
\definecolor{HighlightColor}{rgb}{0.0,0.0,0.0}

\usetikzlibrary{shapes}
%\usetikzlibrary{snakes}
\usetikzlibrary{arrows}
\usetikzlibrary{calc}
\usetikzlibrary{arrows.meta}
\tikzstyle{state}=[circle, draw, minimum size=1.2cm, align=center]
\tikzstyle{trans}=[arrows={->[scale=1.4]}]

\tikzstyle{layer}=[rounded corners=2pt, thin, align=center, draw, minimum width=4.2cm,minimum height=0.8cm]

\definecolor{grey}{rgb}{0.5,0.5,0.5}
\definecolor{red}{rgb}{1,0,0}

76 77 78 79 80 81 82 83 84
\hypersetup{%
  linktocpage=true, pdfstartview=FitV,
  breaklinks=true, pageanchor=true, pdfpagemode=UseOutlines,
  plainpages=false, bookmarksnumbered, bookmarksopen=true, bookmarksopenlevel=3,
  hypertexnames=true, pdfhighlight=/O,
  colorlinks=true,linkcolor=LinkColor,citecolor=CiteColor,
  urlcolor=LinkColor
}

85 86 87 88 89 90 91 92 93 94 95 96

%\theoremstyle{definition}
%\newtheorem{prop}{Prop}
\newtheorem{defn}{Definition}
\newtheorem{cor}{Corollary}
\newtheorem{conj}{Conj}
\newtheorem{lem}{Lemma}
\newtheorem{thm}{Theorem}

\newtheorem{exercise}{Exercise}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
97
%% GENERIC MACROS
98
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
99 100 101 102 103 104 105 106 107
\newcommand*{\Sref}[1]{\hyperref[#1]{\S\ref*{#1}}}
\newcommand*{\secref}[1]{\hyperref[#1]{Section~\ref*{#1}}}
\newcommand*{\lemref}[1]{\hyperref[#1]{Lemma~\ref*{#1}}}
\newcommand{\corref}[1]{\hyperref[#1]{Cor.~\ref*{#1}}}
\newcommand*{\defref}[1]{\hyperref[#1]{Definition~\ref*{#1}}}
\newcommand*{\egref}[1]{\hyperref[#1]{Example~\ref*{#1}}}
\newcommand*{\appendixref}[1]{\hyperref[#1]{Appendix~\ref*{#1}}}
\newcommand*{\figref}[1]{\hyperref[#1]{Figure~\ref*{#1}}}
\newcommand*{\tabref}[1]{\hyperref[#1]{Table~\ref*{#1}}}
108 109 110 111 112

\newcommand{\changes}{{\bf\color{red}{Changes}}}
\newcommand{\TODO}{\vskip 4pt {\color{red}\bf TODO}}


Ralf Jung's avatar
Ralf Jung committed
113 114 115 116
\newcommand{\ie}{\emph{i.e.,} }
\newcommand{\eg}{\emph{e.g.,} }
\newcommand{\etal}{\emph{et~al.}}
\newcommand{\wrt}{w.r.t.~}
117

Ralf Jung's avatar
Ralf Jung committed
118 119 120 121 122 123 124 125 126 127 128 129 130 131 132
\newcommand{\aaron}[1]{{\color{red}\textbf{AT: #1}}}
\newcommand{\derek}[1]{{\color{red}\textbf{DD: #1}}}
\newcommand{\lars}[1]{{\color{red}\textbf{LB: #1}}}
\newcommand{\kasper}[1]{{\color{red}\textbf{KS: #1}}}
\newcommand{\ralf}[1]{{\color{red}\textbf{RJ: #1}}}
\newcommand{\dave}[1]{{\color{red}\textbf{PDS: #1}}}
\newcommand{\hush}[1]{}
\newcommand{\relaxguys}{%
	\let\aaron\hush%
	\let\derek\hush%
	\let\lars\hush%
	\let\kasper\hush%
	\let\ralf\hush%
	\let\dave\hush%
}
133

Ralf Jung's avatar
Ralf Jung committed
134 135 136
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MATH SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
137 138 139 140 141 142 143 144

% superscript to the left
\def\presuper#1#2%
  {\mathop{}%
   \mathopen{\vphantom{#2}}^{#1}%
   \kern-\scriptspace%
   #2}

Ralf Jung's avatar
Ralf Jung committed
145 146 147 148 149 150 151
\DeclareMathOperator*{\Sep}{\scalerel*{\ast}{\sum}}
\newcommand{\bigast}{\Sep}

\newcommand*{\sep}[1][]{\mathrel{\#_{#1}}}	% bad name; it's a different "sep"

\newcommand{\ALT}{\ |\ }

152 153

\newcommand{\upclose}{\mathord{\uparrow}}
154

Ralf Jung's avatar
Ralf Jung committed
155 156 157 158 159
\newcommand{\spac}{\;} % a space

\def\All #1.{\forall #1.\spac}%
\def\Exists #1.{\exists #1.\spac}%
\def\Ret #1.{#1.\spac}%
160

Ralf Jung's avatar
Ralf Jung committed
161 162
\newcommand{\any}{{\rule[-.2ex]{1ex}{.4pt}}}%
\newcommand{\unitval}{()}%
163

Ralf Jung's avatar
Ralf Jung committed
164
\newcommand{\judgment}[2]{\paragraph{#1}\hspace{\stretch{1}}\fbox{$#2$}}
165

Ralf Jung's avatar
Ralf Jung committed
166
\newcommand{\pfn}{\rightharpoonup}
Ralf Jung's avatar
Ralf Jung committed
167
\newcommand\fpfn{}%\xrightharpoonup{\kern-0.25ex\textrm{fin}\kern-0.25ex}}
Ralf Jung's avatar
Ralf Jung committed
168 169 170
\newcommand{\ra}{\rightarrow}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\Lra}{\Leftrightarrow}
Ralf Jung's avatar
Ralf Jung committed
171
\newcommand\monra{}%\xrightarrow{\kern-0.25ex\textrm{mon}\kern-0.25ex}}
172

Ralf Jung's avatar
Ralf Jung committed
173
\newcommand{\eqdef}{\triangleq}
174

Ralf Jung's avatar
Ralf Jung committed
175 176 177
\newcommand{\restr}[2]{\lfloor #1 \rfloor_{#2}}
\newcommand{\pset}[1]{\wp(#1)} % Powerset
\newcommand{\psetdown}[1]{\wp^\downarrow(#1)}
178

Ralf Jung's avatar
Ralf Jung committed
179 180 181
\newcommand{\dom}{\textrm{dom}}
%\newcommand{\rng}{\textrm{rng}}
%\newcommand{\cod}{\textrm{cod}}
182 183


Ralf Jung's avatar
Ralf Jung committed
184 185
\newcommand{\IF}{\mathrel{\text{if}}}
\newcommand{\WHEN}{\textrm{when }}
186

Ralf Jung's avatar
Ralf Jung committed
187 188
\newcommand*\setComp[2]{\left\{#1\spac\middle|\spac#2\right\}}
\newcommand*\set[1]{\left\{#1\right\}}
189

Ralf Jung's avatar
Ralf Jung committed
190 191 192 193 194
\newenvironment{inbox}[1][]{
  \begin{array}[#1]{@{}l@{}}
}{
  \end{array}
}
195

Ralf Jung's avatar
Ralf Jung committed
196 197 198 199 200
\newcommand{\tabubox}[2][]{%
  \begin{tabu}{@{#1}X[1,l,m]@{}}%
    #2 %
  \end{tabu}%
}
201 202


Ralf Jung's avatar
Ralf Jung committed
203 204 205
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% CMRA (RESOURCE ALGEBRA) SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
206 207
\newcommand{\textmon}[1]{\textsc{#1}}

Ralf Jung's avatar
Ralf Jung committed
208
\newcommand{\monoid}{M}
209
\newcommand{\mval}{V}
210

Ralf Jung's avatar
Ralf Jung committed
211 212 213 214 215 216 217 218 219 220 221
\newcommand{\melt}{a}
\newcommand{\meltB}{b}
\newcommand{\meltC}{c}
\newcommand{\melts}{A}
\newcommand{\meltsB}{B}

\newcommand{\mcar}[1]{|#1|}
\newcommand{\mcarp}[1]{\mcar{#1}^{+}}
\newcommand{\mzero}{\bot}
\newcommand{\munit}{\mathord{\varepsilon}}
\newcommand{\mtimes}{\mathbin{\cdot}}
222
\newcommand{\mdiv}{\mathbin{\div}}
223

Ralf Jung's avatar
Ralf Jung committed
224
\newcommand{\mupd}{\rightsquigarrow}
225
\newcommand{\mincl}[1]{\ensuremath{\mathrel{\stackrel{#1}{\leq}}}}
Ralf Jung's avatar
Ralf Jung committed
226 227 228 229 230


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MODEL-SPECIFIC SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
231
\newcommand{\textdom}[1]{\textit{#1}}
Ralf Jung's avatar
Ralf Jung committed
232 233

\newcommand{\wIso}{\xi}
234

Ralf Jung's avatar
Ralf Jung committed
235 236
\newcommand{\rs}{r}
\newcommand{\rsB}{s}
237

Ralf Jung's avatar
Ralf Jung committed
238
\newcommand{\pres}{\pi}
239
\newcommand{\wld}{w}
Ralf Jung's avatar
Ralf Jung committed
240
\newcommand{\ghostRes}{g}
241

Ralf Jung's avatar
Ralf Jung committed
242 243
%% Various pieces of syntax
\newcommand{\fullSat}[4]{#1 \models_{#2} #3; #4}
244

Ralf Jung's avatar
Ralf Jung committed
245
\newcommand{\wtt}[2]{#1 : #2} % well-typed term
246

Ralf Jung's avatar
Ralf Jung committed
247 248 249 250 251
\newcommand{\nequiv}[1]{\ensuremath{\mathrel{\stackrel{#1}{=}}}}
\newcommand{\notnequiv}[1]{\ensuremath{\mathrel{\stackrel{#1}{\neq}}}}
\newcommand{\nequivset}[2]{\ensuremath{\mathrel{\stackrel{#1}{=}_{#2}}}}
\newcommand{\nequivB}[1]{\ensuremath{\mathrel{\stackrel{#1}{\equiv}}}}
\newcommand{\latert}{\mathord{\blacktriangleright}}
252

Ralf Jung's avatar
Ralf Jung committed
253
\newcommand{\Sem}[1]{\llbracket #1 \rrbracket}
254

Ralf Jung's avatar
Ralf Jung committed
255 256
\newcommand{\sembox}[1]{\hfill \normalfont \mbox{\fbox{\(#1\)}}}
\newcommand{\typedsection}[2]{\subsubsection*{\rm\em #1 \sembox{#2}}}
257 258


Ralf Jung's avatar
Ralf Jung committed
259 260 261
%% Some commonly used identifiers
\newcommand{\UPred}{\textdom{UPred}}
\newcommand{\SPred}{\textdom{SPred}}
262

Ralf Jung's avatar
Ralf Jung committed
263 264
\newcommand{\PropDom}{\textdom{Prop}}
\newcommand{\PredDom}{\textdom{Pred}}
265

Ralf Jung's avatar
Ralf Jung committed
266 267 268 269

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% LOGIC SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
270 271
\newcommand{\textlog}[1]{\textsf{#1}}
\newcommand{\textsort}[1]{\textlog{#1}}
Ralf Jung's avatar
Ralf Jung committed
272

273
\newcommand{\Sig}{\mathcal{S}}
274 275 276 277
\newcommand{\SigType}{\mathcal{T}}
\newcommand{\SigFn}{\mathcal{F}}
\newcommand{\sigfn}{F}

Ralf Jung's avatar
Ralf Jung committed
278
\newcommand{\type}{\tau}
279

Ralf Jung's avatar
Ralf Jung committed
280 281 282
\newcommand{\var}{x}
\newcommand{\varB}{y}
\newcommand{\varC}{z}
283

Ralf Jung's avatar
Ralf Jung committed
284 285 286
\newcommand{\term}{t}
\newcommand{\termB}{u}
\newcommand{\termVal}{V}
287

288
\newcommand{\sort}{\Sigma}
289

Ralf Jung's avatar
Ralf Jung committed
290 291
\newcommand{\vctx}{\Gamma}
\newcommand{\pfctx}{\Theta}
292

Ralf Jung's avatar
Ralf Jung committed
293 294 295
\newcommand{\prop}{P}
\newcommand{\propB}{Q}
\newcommand{\propC}{R}
296

Ralf Jung's avatar
Ralf Jung committed
297 298 299
\newcommand{\pred}{\varphi}
\newcommand{\predB}{\psi}
\newcommand{\predC}{\zeta}
300

Ralf Jung's avatar
Ralf Jung committed
301 302 303
\newcommand{\gname}{\gamma}
\newcommand{\iname}{\iota}
\newcommand{\inameB}{\iota'}
304

Ralf Jung's avatar
Ralf Jung committed
305
\newcommand{\mask}{\mathcal{E}}
306
\newcommand{\namesp}{\mathcal{N}}
307

Ralf Jung's avatar
Ralf Jung committed
308
%% various pieces of Syntax
309 310
\newcommand{\unitsort}{1}%	\unit is bold.

Ralf Jung's avatar
Ralf Jung committed
311 312
\def\MU #1.{\mu #1.\spac}%
\def\Lam #1.{\lambda #1.\spac}%
313

Ralf Jung's avatar
Ralf Jung committed
314 315
\newcommand{\proves}{\vdash}
\newcommand{\provesalways}{\vdash_{\!\!\boxempty}}
316

Ralf Jung's avatar
Ralf Jung committed
317
\newcommand{\wand}{\;{{\mbox{---}}\!\!{*}}\;}
318

Ralf Jung's avatar
Ralf Jung committed
319 320
% oh my... I have to wrap the "-" in a \mathrm, otherwise all hell breaks lose...
\newcommand{\fmapsto}[1][\mathrm{-}]{\xmapsto{#1}}
Ralf Jung's avatar
Ralf Jung committed
321
\newcommand{\gmapsto}{\hookrightarrow}%
Ralf Jung's avatar
Ralf Jung committed
322
\newcommand{\fgmapsto}[1][\mathrm{-}]{\xhookrightarrow{#1}}%
323

Ralf Jung's avatar
Ralf Jung committed
324 325 326 327 328 329
\newcommand{\dyn}[2]{\textlog{wp}({#1}, {#2})}
\newcommand{\adyn}[2]{{#1}\;\llparenthesis{#2}\rrparenthesis}
\newcommand{\dynpred}[2]{\textdom{wp}({#1}, {#2})}
\newcommand{\dynA}[3]{\textlog{wp}_{#3}({#1}, {#2})}
\newcommand{\pvs}[1]{\textlog{vs}({#1})}
\newcommand{\pvsA}[3]{\textlog{vs}_{#2}^{#3}({#1})}
330

Ralf Jung's avatar
Ralf Jung committed
331 332
\newcommand{\later}{\mathord{\triangleright}}
\newcommand{\always}{\Box{}}
333

Ralf Jung's avatar
Ralf Jung committed
334
%% Invariants and Ghost ownership
335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350
% PDS: Was 0pt inner, 2pt outer.
% \boxedassert [tikzoptions] contents [name]
\tikzstyle{boxedassert_border} = [sharp corners,line width=0.2pt]
\NewDocumentCommand \boxedassert {O{} m o}{%
	\tikz[baseline=(m.base)]{
		%	  \node[rectangle, draw,inner sep=0.8pt,anchor=base,#1] (m) {${#2}\mathstrut$};
		\node[rectangle,inner sep=0.8pt,outer sep=0.2pt,anchor=base] (m) {${#2}\mathstrut$};
		\draw[#1,boxedassert_border] ($(m.south west) + (0,0.65pt)$) rectangle ($(m.north east) + (0, 0.7pt)$);
	}\IfNoValueF{#3}{^{\,#3}}%
}
\newcommand*{\knowInv}[2]{\boxedassert{#2}[#1]}
\newcommand*{\ownGhost}[2]{\boxedassert[densely dashed]{#2}[#1]}
\newcommand*{\ownGGhost}[1]{\boxedassert[densely dashed]{#1}}

\newcommand{\ownPhys}[1]{\lfloor#1\rfloor}

Ralf Jung's avatar
Ralf Jung committed
351
%% View Shifts
352 353 354 355 356 357 358 359 360 361 362 363 364 365 366
\NewDocumentCommand \vsGen {O{} m O{}}%
  {\mathrel{%
    \ifthenelse{\equal{#3}{}}{%
      % Just one mask, or none
      {#2}_{#1}%
    }{%
      % Two masks
      \presuper{#1}{#2}^{#3}
    }%
  }}%
\NewDocumentCommand \vs {O{} O{}} {\vsGen[#1]{\Rrightarrow}[#2]}
\NewDocumentCommand \vsL {O{} O{}} {\vsGen[#1]{\Lleftarrow}[#2]}
\NewDocumentCommand \vsE {O{} O{}} %
  {\vsGen[#1]{\Lleftarrow\!\!\!\Rrightarrow}[#2]}

Ralf Jung's avatar
Ralf Jung committed
367
%% Hoare Triples
368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408
\newcommand*{\hoaresizebox}[1]{%
  \hbox{$\mathsurround=0pt{#1}\mathstrut$}}
\newcommand*{\hoarescalebox}[2]{%
  \hbox{\scalerel*[1ex]{#1}{#2}}}
\newcommand{\triple}[5]{%
  \setbox0=\hoaresizebox{{#3}{#5}}%
  \setbox1=\hoarescalebox{#1}{\copy0}%
  \setbox2=\hoarescalebox{#2}{\copy0}%
  \copy1{#3}\copy2%
  \;{#4}\;%
  \copy1{#5}\copy2}
\NewDocumentCommand \hoare {m m m O{}}{
	\triple\{\}{#1}{#2}{#3}%
	_{#4}%
}

\newcommand{\bracket}[4][]{%
  \setbox0=\hbox{$\mathsurround=0pt{#1}{#4}\mathstrut$}%
  \scalerel*[1ex]{#2}{\copy0}%
  {#4}%
  \scalerel*[1ex]{#3}{\copy0}}
% \curlybracket[other] x
\newcommand{\curlybracket}[2][]{\bracket[{#1}]\{\}{#2}}
\newcommand{\anglebracket}[2][]{\bracket[{#1}]\langle\rangle{#2}}
% \hoareV[t] pre c post [mask]
\NewDocumentCommand \hoareV {O{c} m m m O{}}{
		{\begin{aligned}[#1]
		&\curlybracket{#2} \\
		&\quad{#3} \\
		&{\curlybracket{#4}}_{#5}
		\end{aligned}}%
}
% \hoareHV[t] pre c post [mask]
\NewDocumentCommand \hoareHV {O{c} m m m O{}}{
	{\begin{aligned}[#1]
	&\curlybracket{#2} \; {#3} \\
	&{\curlybracket{#4}}_{#5}
	\end{aligned}}%
}


Ralf Jung's avatar
Ralf Jung committed
409 410 411 412
%% Some commonly used identifiers
\newcommand{\timeless}[1]{\textlog{timeless}(#1)}
\newcommand{\physatomic}[1]{\textlog{$#1$ phys.\ atomic}}
\newcommand{\infinite}{\textlog{infinite}}
413

Ralf Jung's avatar
Ralf Jung committed
414 415
\newcommand{\Prop}{\textlog{Prop}}
\newcommand{\Pred}{\textlog{Pred}}
416

Ralf Jung's avatar
Ralf Jung committed
417 418
\newcommand{\TRUE}{\textlog{True}}
\newcommand{\FALSE}{\textlog{False}}
419 420

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
421
% LANGUAGE SYNTAX AND SEMANTICS
422
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
423 424 425 426 427
\newcommand{\expr}{e}
\newcommand{\val}{v}
\newcommand{\valB}{w}
\newcommand{\state}{\sigma}
\newcommand{\step}{\ra}
428

Ralf Jung's avatar
Ralf Jung committed
429 430
\newcommand{\ectx}{K}
\newcommand{\tpool}{T}
431

Ralf Jung's avatar
Ralf Jung committed
432
\newcommand{\cfg}[2]{{#1};{#2}}
433 434

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
435 436
% DERIVED CONSTRUCTIONS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
437

Ralf Jung's avatar
Ralf Jung committed
438
%% Commonly used identifiers
Ralf Jung's avatar
Ralf Jung committed
439 440
\newcommand{\FHeap}{\textmon{FHeap}}
\newcommand{\AFHeap}{\textmon{AFHeap}}
441

Ralf Jung's avatar
Ralf Jung committed
442
\newcommand{\auth}[1]{\textmon{Auth}}
443 444 445
\newcommand{\authfull}{\mathord{\bullet}\,}
\newcommand{\authfrag}{\mathord{\circ}\,}

Ralf Jung's avatar
Ralf Jung committed
446 447 448
\newcommand{\fracm}{\ensuremath{\textmon{Frac}}}
\newcommand{\exm}{\ensuremath{\textmon{Ex}}}
\newcommand{\agm}{\ensuremath{\textmon{Ag}}}
449

Ralf Jung's avatar
Ralf Jung committed
450
\newcommand{\STSMon}[1]{\textmon{Sts}_{#1}}
451 452 453 454 455 456 457 458 459
\newcommand{\STSInv}{\textsf{STSInv}}
\newcommand{\STS}{\textsf{STS}}
\newcommand{\STSS}{\mathcal{S}} % states
\newcommand{\STST}{\mathcal{T}} % tokens
\newcommand{\STSL}{\mathcal{L}} % labels
\newcommand{\ststrans}{\ra^{*}}%	the relation relevant to the STS rules

\newcommand{\AuthInv}{\textsf{AuthInv}}
\newcommand{\Auth}{\textsf{Auth}}