iris.sty 10.4 KB
Newer Older
1
2
3
4
5
\NeedsTeXFormat{LaTeX2e}[1999/12/01]
\ProvidesPackage{iris}

\RequirePackage{tikz}
\RequirePackage{scalerel}
6
7
8
9
10
11
12
\RequirePackage{array}
\RequirePackage{dashbox}
\RequirePackage{tensor}
\RequirePackage{xparse}
\RequirePackage{xstring}
\RequirePackage{mathtools}

13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% SETUP
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\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]}]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MATH SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\DeclareMathOperator*{\Sep}{\scalerel*{\ast}{\sum}}
\newcommand{\bigast}{\Sep}

\newcommand*{\sep}[1][]{\mathrel{\#_{#1}}}	% bad name; it's a different "sep"
\newcommand\dplus{\mathbin{+\kern-1.0ex+}}
\newcommand{\upclose}{\mathord{\uparrow}}
\newcommand{\ALT}{\ |\ }

\newcommand{\spac}{\;} % a space

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

\newcommand{\any}{{\rule[-.2ex]{1ex}{.4pt}}}%

\newcommand{\judgment}[2]{\paragraph{#1}\hspace{\stretch{1}}\fbox{$#2$}}

\newcommand{\pfn}{\rightharpoonup}
\newcommand\fpfn{\xrightharpoonup{\kern-0.25ex\textrm{fin}\kern-0.25ex}}
\newcommand{\ra}{\rightarrow}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\Lra}{\Leftrightarrow}
54
55
\newcommand\monra{\xrightarrow{\kern-0.15ex\textrm{mon}\kern-0.05ex}}
\newcommand\nfn{\xrightarrow{\kern-0.15ex\textrm{ne}\kern-0.05ex}}
56
\newcommand{\eqdef}{\triangleq}
Ralf Jung's avatar
Ralf Jung committed
57
58
\newcommand{\bnfdef}{\vcentcolon\vcentcolon=}

59
60
\newcommand*\setComp[2]{\left\{#1\spac\middle|\spac#2\right\}}
\newcommand*\set[1]{\left\{#1\right\}}
61
\newcommand*\record[1]{\left\{\spac#1\spac\right\}}
Ralf Jung's avatar
Ralf Jung committed
62
\newcommand*\recordComp[2]{\left\{\spac#1\spac\middle|\spac#2\spac\right\}}
63
64
65
66
67
68
69
70
71
72
73
74
75

\newenvironment{inbox}[1][]{
  \begin{array}[#1]{@{}l@{}}
}{
  \end{array}
}

\newcommand{\dom}{\mathrm{dom}}
\newcommand{\cod}{\mathrm{cod}}
\newcommand{\chain}{\mathrm{chain}}

\newcommand{\pset}[1]{\wp(#1)} % Powerset
\newcommand{\psetdown}[1]{\wp^\downarrow(#1)}
Ralf Jung's avatar
Ralf Jung committed
76
\newcommand{\finpset}[1]{\wp^\mathrm{fin}(#1)}
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103

\newcommand{\Func}{F} % functor

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% MODEL-SPECIFIC SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\textdom}[1]{\textit{#1}}

\newcommand{\wIso}{\xi}

\newcommand{\rs}{r}
\newcommand{\rsB}{s}

\newcommand{\pres}{\pi}
\newcommand{\wld}{w}
\newcommand{\ghostRes}{g}

%% Various pieces of syntax
\newcommand{\wsat}[4]{#1 \models_{#2} #3; #4}

\newcommand{\wtt}[2]{#1 : #2} % well-typed term

\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}}
Ralf Jung's avatar
Ralf Jung committed
104
\newcommand{\latertinj}{\textlog{next}}
105
106
107
108
109
110
111
112

\newcommand{\Sem}[1]{\llbracket #1 \rrbracket}

\newcommand{\sembox}[1]{\hfill \normalfont \mbox{\fbox{\(#1\)}}}
\newcommand{\typedsection}[2]{\subsubsection*{\rm\em #1 \sembox{#2}}}


%% Some commonly used identifiers
Ralf Jung's avatar
Ralf Jung committed
113
\newcommand{\SProp}{\textdom{SProp}}
114
\newcommand{\UPred}{\textdom{UPred}}
Ralf Jung's avatar
Ralf Jung committed
115
116
117
\newcommand{\mProp}{\textdom{Prop}} % meta-level prop
\newcommand{\iProp}{\textdom{iProp}}
\newcommand{\Wld}{\textdom{Wld}}
Ralf Jung's avatar
Ralf Jung committed
118
\newcommand{\Res}{\textdom{Res}}
119

Ralf Jung's avatar
Ralf Jung committed
120
121
\newcommand{\cofe}{T}
\newcommand{\cofeB}{U}
122
123
124
125
126
127
128
129
130
\newcommand{\COFEs}{\mathcal{U}} % category of COFEs
\newcommand{\iFunc}{\Sigma}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% CMRA (RESOURCE ALGEBRA) SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\textmon}[1]{\textsc{#1}}

\newcommand{\monoid}{M}
Ralf Jung's avatar
Ralf Jung committed
131
\newcommand{\mval}{\mathcal{V}}
132
133
134
135
136
137
138
139
140

\newcommand{\melt}{a}
\newcommand{\meltB}{b}
\newcommand{\meltC}{c}
\newcommand{\melts}{A}
\newcommand{\meltsB}{B}

\newcommand{\mcar}[1]{|#1|}
\newcommand{\mcarp}[1]{\mcar{#1}^{+}}
141
\newcommand{\munit}{\varepsilon}
Ralf Jung's avatar
Ralf Jung committed
142
\newcommand{\mcore}[1]{\lfloor#1\rfloor}
143
144
145
\newcommand{\mtimes}{\mathbin{\cdot}}

\newcommand{\mupd}{\rightsquigarrow}
146
\newcommand{\mincl}[1][]{\ensuremath{\mathrel{\stackrel{#1}{\preccurlyeq}}}}
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187

\newcommand{\CMRAs}{\mathcal{R}} % category of CMRAs

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% LOGIC SYMBOLS & NOTATION & IDENTIFIERS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\textlog}[1]{\textsf{#1}}

\newcommand{\Sig}{\mathcal{S}}
\newcommand{\SigType}{\mathcal{T}}
\newcommand{\SigFn}{\mathcal{F}}
\newcommand{\SigAx}{\mathcal{A}}
\newcommand{\sigtype}{T}
\newcommand{\sigfn}{F}
\newcommand{\sigax}{A}

\newcommand{\type}{\tau}

\newcommand{\var}{x}
\newcommand{\varB}{y}
\newcommand{\varC}{z}

\newcommand{\term}{t}
\newcommand{\termB}{u}

\newcommand{\vctx}{\Gamma}
\newcommand{\pfctx}{\Theta}

\newcommand{\prop}{P}
\newcommand{\propB}{Q}
\newcommand{\propC}{R}

\newcommand{\pred}{\varphi}
\newcommand{\predB}{\psi}
\newcommand{\predC}{\zeta}

\newcommand{\gname}{\gamma}
\newcommand{\iname}{\iota}

\newcommand{\mask}{\mathcal{E}}
\newcommand{\namesp}{\mathcal{N}}
Ralf Jung's avatar
Ralf Jung committed
188
\newcommand{\namecl}[1]{{#1^{\kern0.2ex\uparrow}}}
189
190
191
192
193
194

%% various pieces of Syntax
\def\MU #1.{\mu #1.\spac}%
\def\Lam #1.{\lambda #1.\spac}%

\newcommand{\proves}{\vdash}
Ralf Jung's avatar
Ralf Jung committed
195
\newcommand{\provesIff}{\mathrel{\dashv\vdash}}
196
197
198
199
200
201
202
203

\newcommand{\wand}{\;{{\mbox{---}}\!\!{*}}\;}

% oh my... I have to wrap the "-" in a \mathrm, otherwise all hell breaks lose...
\newcommand{\fmapsto}[1][\mathrm{-}]{\xmapsto{#1}}
\newcommand{\gmapsto}{\hookrightarrow}%
\newcommand{\fgmapsto}[1][\mathrm{-}]{\xhookrightarrow{#1}}%

204
\NewDocumentCommand\wpre{m O{} m}%
205
  {\textlog{wp}_{#2}\spac#1\spac{\{#3\}}}
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223

\newcommand{\later}{\mathord{\triangleright}}
\newcommand{\always}{\Box{}}

%% Invariants and Ghost ownership
% 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}}
224
\newcommand{\ownM}[1]{\textlog{Own}(#1)}
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
\newcommand{\ownPhys}[1]{\textlog{Phy}(#1)}

%% View Shifts
\NewDocumentCommand \vsGen {O{} m O{}}%
  {\mathrel{%
    \ifthenelse{\equal{#3}{}}{%
      % Just one mask, or none
      {#2}_{#1}%
    }{%
      % Two masks
      \tensor*[^{#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]}
\NewDocumentCommand \pvs {O{} O{}} {\mathord{\vsGen[#1]{{\mid\kern-0.4ex\Rrightarrow\kern-0.25ex}}[#2]\kern0.2ex}}


%% Hoare Triples
\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}}%
}


%% Some commonly used identifiers
\newcommand{\timeless}[1]{\textlog{timeless}(#1)}
\newcommand{\physatomic}[1]{\textlog{$#1$ phys.\ atomic}}
\newcommand{\infinite}{\textlog{infinite}}

\newcommand{\Prop}{\textlog{Prop}}
\newcommand{\Pred}{\textlog{Pred}}

\newcommand{\TRUE}{\textlog{True}}
\newcommand{\FALSE}{\textlog{False}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ralf Jung's avatar
Ralf Jung committed
299
% GENERIC LANGUAGE SYNTAX AND SEMANTICS
300
301
302
303
304
305
306
307
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\expr}{e}
\newcommand{\val}{v}
\newcommand{\valB}{w}
\newcommand{\state}{\sigma}
\newcommand{\step}{\ra}
\newcommand{\lctx}{K}

308
309
310
311
\newcommand{\toval}{\mathrm{expr2val}}
\newcommand{\ofval}{\mathrm{val2expr}}
\newcommand{\atomic}{\mathrm{atomic}}
\newcommand{\red}{\mathrm{red}}
312
313
314
315
316
317
\newcommand{\Lang}{\Lambda}

\newcommand{\tpool}{T}

\newcommand{\cfg}[2]{{#1};{#2}}

318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% STANDARD DERIVED CONSTRUCTIONS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Agreement
\newcommand{\agm}{\ensuremath{\textmon{Ag}}}
\newcommand{\ag}{\textlog{ag}}

% Fraction
\newcommand{\fracm}{\ensuremath{\textmon{Frac}}}

% Exclusive
\newcommand{\exm}{\ensuremath{\textmon{Ex}}}

% Auth
\newcommand{\authm}{\textmon{Auth}}
\newcommand{\authfull}{\mathord{\bullet}\,}
\newcommand{\authfrag}{\mathord{\circ}\,}

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

Ralf Jung's avatar
Ralf Jung committed
340
341
342
343
344
345
% One-Shot
\newcommand{\oneshotm}{\ensuremath{\textmon{OneShot}}}
\newcommand{\ospending}{\textlog{pending}}
\newcommand{\osshot}{\textlog{shot}}

% STSs
346
347
348
349
350
351
352
353
354
355
356
357
358
\newcommand{\STSCtx}{\textlog{StsCtx}}
\newcommand{\STSSt}{\textlog{StsSt}}
\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


\tikzstyle{sts} = [->,every node/.style={rectangle, rounded corners, draw, minimum size=1.2cm, align=center}]
\tikzstyle{sts_arrows} = [arrows={->[scale=1.5]},every node/.style={font=\sffamily\small}]

%% Stored Propositions
\newcommand{\mapstoprop}{\mathrel{\mapstochar\Ra}}
359
360
361


\endinput