% % >>> zed-csp.sty <<< % % (c) Jim Davies, January 1995 % You may copy and distribute this file freely. Any queries and % complaints should be forwarded to Jim.Davies@comlab.ox.ac.uk. % If you make any changes to this file, please do not distribute % the results under the name `zed-csp.sty'. % >>> information <<< % This is a LaTeX2e package for typesetting Z and CSP notation. It % employs the standard (JMS) set of macros, but uses the AMS fonts in % place of `oxsy'. You will need the tfm and fd files for the `A' and % `B' symbol fonts installed. This requires (1) the AMSFONTS package % and (2) the MFNFSS package for LaTeX2e. % If you have the Lucida Bright font set from Y&Y, then you can use % that instead. In this case, you have only to load `lucbr' (from the % PSNFSS package) before `zed-csp'. % >>> changes <<< % version 0 (Sep 94): first attempt % version 0a (Oct 94): fixed error in definition of \cat % version 0b (Nov 94): added composite for \uminus % version 0c (Jan 95): removed definition of \emptyset % >>> date and version <<< \def\fileversion{0c} \def\filedate{95/01/11} \def\docdate {95/01/11} \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{zed-csp}[{% \filedate\space\fileversion\space zed-csp package}] % >>> fonts and symbols <<< % We declare a new math version. For convenience, I have chosen the % same name as that used in oz.sty. The following code is based upon % the work of Paul King, Sebastian Rahtz, and Mike Spivey. Alan % Jeffrey's influence is everywhere. \@ifpackageloaded{lucbr}{}{% \DeclareMathVersion{zed} \SetMathAlphabet{\mathrm}{zed}{\encodingdefault}{\rmdefault}{m}{n}% \SetMathAlphabet{\mathbf}{zed}{\encodingdefault}{\rmdefault}{bx}{n}% \SetMathAlphabet{\mathsf}{zed}{\encodingdefault}{\sfdefault}{m}{n}% \DeclareSymbolFont{italics}{\encodingdefault}{\rmdefault}{m}{it}% \DeclareSymbolFontAlphabet{\mathrm}{operators} \DeclareSymbolFontAlphabet{\mathit}{letters} \DeclareSymbolFontAlphabet{\mathcal}{symbols} \DeclareSymbolFontAlphabet{\zedit}{italics} \DeclareSymbolFont{lasy}{U}{lasy}{m}{n} \DeclareSymbolFont{AMSa}{U}{msa}{m}{n} \DeclareSymbolFont{AMSb}{U}{msb}{m}{n} \let\mho\undefined \let\Join\undefined \let\Box\undefined \let\Diamond\undefined \let\leadsto\undefined \let\sqsubset\undefined \let\sqsupset\undefined \let\lhd\undefined \let\unlhd\undefined \let\rhd\undefined \let\unrhd\undefined \DeclareMathSymbol{\mho}{\mathord}{lasy}{"30} \DeclareMathSymbol{\Join}{\mathrel}{lasy}{"31} \DeclareMathSymbol{\Box}{\mathord}{lasy}{"32} \DeclareMathSymbol{\Diamond}{\mathord}{lasy}{"33} \DeclareMathSymbol{\leadsto}{\mathrel}{lasy}{"3B} \DeclareMathSymbol{\sqsubset}{\mathrel}{lasy}{"3C} \DeclareMathSymbol{\sqsupset}{\mathrel}{lasy}{"3D} \DeclareMathSymbol{\lhd}{\mathrel}{lasy}{"01} \DeclareMathSymbol{\unlhd}{\mathrel}{lasy}{"02} \DeclareMathSymbol{\rhd}{\mathrel}{lasy}{"03} \DeclareMathSymbol{\unrhd}{\mathrel}{lasy}{"04} \DeclareSymbolFontAlphabet{\bbold}{AMSb} \mathversion{zed} } \@ifpackageloaded{lucbr}{% \DeclareMathSymbol{\doublebarwedge}{\mathbin}{symbols}{"D4} \DeclareMathSymbol{\lll}{\mathrel}{letters}{"DE} \DeclareMathSymbol{\ggg}{\mathrel}{letters}{"DF} \DeclareMathSymbol{\eth}{\mathrel}{operators}{"F0} }{% \let\rightleftharpoons\undefined \let\angle\undefined \DeclareMathSymbol\boxdot{\mathbin}{AMSa}{"00} \DeclareMathSymbol\boxplus{\mathbin}{AMSa}{"01} \DeclareMathSymbol\boxtimes{\mathbin}{AMSa}{"02} \DeclareMathSymbol\square{\mathord}{AMSa}{"03} \DeclareMathSymbol\blacksquare{\mathord}{AMSa}{"04} \DeclareMathSymbol\centerdot{\mathbin}{AMSa}{"05} \DeclareMathSymbol\lozenge{\mathord}{AMSa}{"06} \DeclareMathSymbol\blacklozenge{\mathord}{AMSa}{"07} \DeclareMathSymbol\circlearrowright{\mathrel}{AMSa}{"08} \DeclareMathSymbol\circlearrowleft{\mathrel}{AMSa}{"09} \DeclareMathSymbol\rightleftharpoons{\mathrel}{AMSa}{"0A} \DeclareMathSymbol\leftrightharpoons{\mathrel}{AMSa}{"0B} \DeclareMathSymbol\boxminus{\mathbin}{AMSa}{"0C} \DeclareMathSymbol\Vdash{\mathrel}{AMSa}{"0D} \DeclareMathSymbol\Vvdash{\mathrel}{AMSa}{"0E} \DeclareMathSymbol\vDash{\mathrel}{AMSa}{"0F} \DeclareMathSymbol\twoheadrightarrow{\mathrel}{AMSa}{"10} \DeclareMathSymbol\twoheadleftarrow{\mathrel}{AMSa}{"11} \DeclareMathSymbol\leftleftarrows{\mathrel}{AMSa}{"12} \DeclareMathSymbol\rightrightarrows{\mathrel}{AMSa}{"13} \DeclareMathSymbol\upuparrows{\mathrel}{AMSa}{"14} \DeclareMathSymbol\downdownarrows{\mathrel}{AMSa}{"15} \DeclareMathSymbol\upharpoonright{\mathrel}{AMSa}{"16} \DeclareMathSymbol\downharpoonright{\mathrel}{AMSa}{"17} \DeclareMathSymbol\upharpoonleft{\mathrel}{AMSa}{"18} \DeclareMathSymbol\downharpoonleft{\mathrel}{AMSa}{"19} \DeclareMathSymbol\rightarrowtail{\mathrel}{AMSa}{"1A} \DeclareMathSymbol\leftarrowtail{\mathrel}{AMSa}{"1B} \DeclareMathSymbol\leftrightarrows{\mathrel}{AMSa}{"1C} \DeclareMathSymbol\rightleftarrows{\mathrel}{AMSa}{"1D} \DeclareMathSymbol\Lsh{\mathrel}{AMSa}{"1E} \DeclareMathSymbol\Rsh{\mathrel}{AMSa}{"1F} \DeclareMathSymbol\rightsquigarrow{\mathrel}{AMSa}{"20} \DeclareMathSymbol\leftrightsquigarrow{\mathrel}{AMSa}{"21} \DeclareMathSymbol\looparrowleft{\mathrel}{AMSa}{"22} \DeclareMathSymbol\looparrowright{\mathrel}{AMSa}{"23} \DeclareMathSymbol\circeq{\mathrel}{AMSa}{"24} \DeclareMathSymbol\succsim{\mathrel}{AMSa}{"25} \DeclareMathSymbol\gtrsim{\mathrel}{AMSa}{"26} \DeclareMathSymbol\gtrapprox{\mathrel}{AMSa}{"27} \DeclareMathSymbol\multimap{\mathrel}{AMSa}{"28} \DeclareMathSymbol\therefore{\mathrel}{AMSa}{"29} \DeclareMathSymbol\because{\mathrel}{AMSa}{"2A} \DeclareMathSymbol\doteqdot{\mathrel}{AMSa}{"2B} \DeclareMathSymbol\triangleq{\mathrel}{AMSa}{"2C} \DeclareMathSymbol\precsim{\mathrel}{AMSa}{"2D} \DeclareMathSymbol\lesssim{\mathrel}{AMSa}{"2E} \DeclareMathSymbol\lessapprox{\mathrel}{AMSa}{"2F} \DeclareMathSymbol\eqslantless{\mathrel}{AMSa}{"30} \DeclareMathSymbol\eqslantgtr{\mathrel}{AMSa}{"31} \DeclareMathSymbol\curlyeqprec{\mathrel}{AMSa}{"32} \DeclareMathSymbol\curlyeqsucc{\mathrel}{AMSa}{"33} \DeclareMathSymbol\preccurlyeq{\mathrel}{AMSa}{"34} \DeclareMathSymbol\leqq{\mathrel}{AMSa}{"35} \DeclareMathSymbol\leqslant{\mathrel}{AMSa}{"36} \DeclareMathSymbol\lessgtr{\mathrel}{AMSa}{"37} \DeclareMathSymbol\backprime{\mathord}{AMSa}{"38} \DeclareMathSymbol\risingdotseq{\mathrel}{AMSa}{"3A} \DeclareMathSymbol\fallingdotseq{\mathrel}{AMSa}{"3B} \DeclareMathSymbol\succcurlyeq{\mathrel}{AMSa}{"3C} \DeclareMathSymbol\geqq{\mathrel}{AMSa}{"3D} \DeclareMathSymbol\geqslant{\mathrel}{AMSa}{"3E} \DeclareMathSymbol\gtrless{\mathrel}{AMSa}{"3F} \DeclareMathSymbol\sqsubset{\mathrel}{AMSa}{"40} \DeclareMathSymbol\sqsupset{\mathrel}{AMSa}{"41} \DeclareMathSymbol\vartriangleright{\mathrel}{AMSa}{"42} \DeclareMathSymbol\vartriangleleft{\mathrel}{AMSa}{"43} \DeclareMathSymbol\trianglerighteq{\mathrel}{AMSa}{"44} \DeclareMathSymbol\trianglelefteq{\mathrel}{AMSa}{"45} \DeclareMathSymbol\bigstar{\mathord}{AMSa}{"46} \DeclareMathSymbol\between{\mathrel}{AMSa}{"47} \DeclareMathSymbol\blacktriangledown{\mathord}{AMSa}{"48} \DeclareMathSymbol\blacktriangleright{\mathrel}{AMSa}{"49} \DeclareMathSymbol\blacktriangleleft{\mathrel}{AMSa}{"4A} \DeclareMathSymbol\vartriangle{\mathord}{AMSa}{"4D} \DeclareMathSymbol\blacktriangle{\mathord}{AMSa}{"4E} \DeclareMathSymbol\triangledown{\mathord}{AMSa}{"4F} \DeclareMathSymbol\eqcirc{\mathrel}{AMSa}{"50} \DeclareMathSymbol\lesseqgtr{\mathrel}{AMSa}{"51} \DeclareMathSymbol\gtreqless{\mathrel}{AMSa}{"52} \DeclareMathSymbol\lesseqqgtr{\mathrel}{AMSa}{"53} \DeclareMathSymbol\gtreqqless{\mathrel}{AMSa}{"54} \DeclareMathSymbol\Rrightarrow{\mathrel}{AMSa}{"56} \DeclareMathSymbol\Lleftarrow{\mathrel}{AMSa}{"57} \DeclareMathSymbol\veebar{\mathbin}{AMSa}{"59} \DeclareMathSymbol\barwedge{\mathbin}{AMSa}{"5A} \DeclareMathSymbol\doublebarwedge{\mathbin}{AMSa}{"5B} \DeclareMathSymbol\angle{\mathord}{AMSa}{"5C} \DeclareMathSymbol\measuredangle{\mathord}{AMSa}{"5D} \DeclareMathSymbol\sphericalangle{\mathord}{AMSa}{"5E} \DeclareMathSymbol\varpropto{\mathrel}{AMSa}{"5F} \DeclareMathSymbol\smallsmile{\mathrel}{AMSa}{"60} \DeclareMathSymbol\smallfrown{\mathrel}{AMSa}{"61} \DeclareMathSymbol\Subset{\mathrel}{AMSa}{"62} \DeclareMathSymbol\Supset{\mathrel}{AMSa}{"63} \DeclareMathSymbol\Cup{\mathbin}{AMSa}{"64} \DeclareMathSymbol\Cap{\mathbin}{AMSa}{"65} \DeclareMathSymbol\curlywedge{\mathbin}{AMSa}{"66} \DeclareMathSymbol\curlyvee{\mathbin}{AMSa}{"67} \DeclareMathSymbol\leftthreetimes{\mathbin}{AMSa}{"68} \DeclareMathSymbol\rightthreetimes{\mathbin}{AMSa}{"69} \DeclareMathSymbol\subseteqq{\mathrel}{AMSa}{"6A} \DeclareMathSymbol\supseteqq{\mathrel}{AMSa}{"6B} \DeclareMathSymbol\bumpeq{\mathrel}{AMSa}{"6C} \DeclareMathSymbol\Bumpeq{\mathrel}{AMSa}{"6D} \DeclareMathSymbol\lll{\mathrel}{AMSa}{"6E} \DeclareMathSymbol\ggg{\mathrel}{AMSa}{"6F} \DeclareMathDelimiter\ulcorner{4}{AMSa}{"70}{AMSa}{"70} \DeclareMathDelimiter\urcorner{5}{AMSa}{"71}{AMSa}{"71} \DeclareMathDelimiter\llcorner{4}{AMSa}{"78}{AMSa}{"78} \DeclareMathDelimiter\lrcorner{5}{AMSa}{"79}{AMSa}{"79} \xdef\yen {\noexpand\mathhexbox\hexnumber@\symAMSa 55 } \xdef\checkmark{\noexpand\mathhexbox\hexnumber@\symAMSa 58 } \xdef\circledR {\noexpand\mathhexbox\hexnumber@\symAMSa 72 } \xdef\maltese {\noexpand\mathhexbox\hexnumber@\symAMSa 7A } \DeclareMathSymbol\circledS{\mathord}{AMSa}{"73} \DeclareMathSymbol\pitchfork{\mathrel}{AMSa}{"74} \DeclareMathSymbol\dotplus{\mathbin}{AMSa}{"75} \DeclareMathSymbol\backsim{\mathrel}{AMSa}{"76} \DeclareMathSymbol\backsimeq{\mathrel}{AMSa}{"77} \DeclareMathSymbol\complement{\mathord}{AMSa}{"7B} \DeclareMathSymbol\intercal{\mathbin}{AMSa}{"7C} \DeclareMathSymbol\circledcirc{\mathbin}{AMSa}{"7D} \DeclareMathSymbol\circledast{\mathbin}{AMSa}{"7E} \DeclareMathSymbol\circleddash{\mathbin}{AMSa}{"7F} \DeclareMathSymbol\lvertneqq{\mathrel}{AMSb}{"00} \DeclareMathSymbol\gvertneqq{\mathrel}{AMSb}{"01} \DeclareMathSymbol\nleq{\mathrel}{AMSb}{"02} \DeclareMathSymbol\ngeq{\mathrel}{AMSb}{"03} \DeclareMathSymbol\nless{\mathrel}{AMSb}{"04} \DeclareMathSymbol\ngtr{\mathrel}{AMSb}{"05} \DeclareMathSymbol\nprec{\mathrel}{AMSb}{"06} \DeclareMathSymbol\nsucc{\mathrel}{AMSb}{"07} \DeclareMathSymbol\lneqq{\mathrel}{AMSb}{"08} \DeclareMathSymbol\gneqq{\mathrel}{AMSb}{"09} \DeclareMathSymbol\nleqslant{\mathrel}{AMSb}{"0A} \DeclareMathSymbol\ngeqslant{\mathrel}{AMSb}{"0B} \DeclareMathSymbol\lneq{\mathrel}{AMSb}{"0C} \DeclareMathSymbol\gneq{\mathrel}{AMSb}{"0D} \DeclareMathSymbol\npreceq{\mathrel}{AMSb}{"0E} \DeclareMathSymbol\nsucceq{\mathrel}{AMSb}{"0F} \DeclareMathSymbol\precnsim{\mathrel}{AMSb}{"10} \DeclareMathSymbol\succnsim{\mathrel}{AMSb}{"11} \DeclareMathSymbol\lnsim{\mathrel}{AMSb}{"12} \DeclareMathSymbol\gnsim{\mathrel}{AMSb}{"13} \DeclareMathSymbol\nleqq{\mathrel}{AMSb}{"14} \DeclareMathSymbol\ngeqq{\mathrel}{AMSb}{"15} \DeclareMathSymbol\precneqq{\mathrel}{AMSb}{"16} \DeclareMathSymbol\succneqq{\mathrel}{AMSb}{"17} \DeclareMathSymbol\precnapprox{\mathrel}{AMSb}{"18} \DeclareMathSymbol\succnapprox{\mathrel}{AMSb}{"19} \DeclareMathSymbol\lnapprox{\mathrel}{AMSb}{"1A} \DeclareMathSymbol\gnapprox{\mathrel}{AMSb}{"1B} \DeclareMathSymbol\nsim{\mathrel}{AMSb}{"1C} \DeclareMathSymbol\ncong{\mathrel}{AMSb}{"1D} \DeclareMathSymbol\varsubsetneq{\mathrel}{AMSb}{"20} \DeclareMathSymbol\varsupsetneq{\mathrel}{AMSb}{"21} \DeclareMathSymbol\nsubseteqq{\mathrel}{AMSb}{"22} \DeclareMathSymbol\nsupseteqq{\mathrel}{AMSb}{"23} \DeclareMathSymbol\subsetneqq{\mathrel}{AMSb}{"24} \DeclareMathSymbol\supsetneqq{\mathrel}{AMSb}{"25} \DeclareMathSymbol\varsubsetneqq{\mathrel}{AMSb}{"26} \DeclareMathSymbol\varsupsetneqq{\mathrel}{AMSb}{"27} \DeclareMathSymbol\subsetneq{\mathrel}{AMSb}{"28} \DeclareMathSymbol\supsetneq{\mathrel}{AMSb}{"29} \DeclareMathSymbol\nsubseteq{\mathrel}{AMSb}{"2A} \DeclareMathSymbol\nsupseteq{\mathrel}{AMSb}{"2B} \DeclareMathSymbol\nparallel{\mathrel}{AMSb}{"2C} \DeclareMathSymbol\nmid{\mathrel}{AMSb}{"2D} \DeclareMathSymbol\nshortmid{\mathrel}{AMSb}{"2E} \DeclareMathSymbol\nshortparallel{\mathrel}{AMSb}{"2F} \DeclareMathSymbol\nvdash{\mathrel}{AMSb}{"30} \DeclareMathSymbol\nVdash{\mathrel}{AMSb}{"31} \DeclareMathSymbol\nvDash{\mathrel}{AMSb}{"32} \DeclareMathSymbol\nVDash{\mathrel}{AMSb}{"33} \DeclareMathSymbol\ntrianglerighteq{\mathrel}{AMSb}{"34} \DeclareMathSymbol\ntrianglelefteq{\mathrel}{AMSb}{"35} \DeclareMathSymbol\ntriangleleft{\mathrel}{AMSb}{"36} \DeclareMathSymbol\ntriangleright{\mathrel}{AMSb}{"37} \DeclareMathSymbol\nleftarrow{\mathrel}{AMSb}{"38} \DeclareMathSymbol\nrightarrow{\mathrel}{AMSb}{"39} \DeclareMathSymbol\nLeftarrow{\mathrel}{AMSb}{"3A} \DeclareMathSymbol\nRightarrow{\mathrel}{AMSb}{"3B} \DeclareMathSymbol\nLeftrightarrow{\mathrel}{AMSb}{"3C} \DeclareMathSymbol\nleftrightarrow{\mathrel}{AMSb}{"3D} \DeclareMathSymbol\divideontimes{\mathbin}{AMSb}{"3E} \DeclareMathSymbol\varnothing{\mathord}{AMSb}{"3F} \DeclareMathSymbol\mho{\mathord}{AMSb}{"66} \DeclareMathSymbol\eth{\mathord}{AMSb}{"67} \DeclareMathSymbol\eqsim{\mathrel}{AMSb}{"68} \DeclareMathSymbol\beth{\mathord}{AMSb}{"69} \DeclareMathSymbol\gimel{\mathord}{AMSb}{"6A} \DeclareMathSymbol\daleth{\mathord}{AMSb}{"6B} \DeclareMathSymbol\lessdot{\mathrel}{AMSb}{"6C} \DeclareMathSymbol\gtrdot{\mathrel}{AMSb}{"6D} \DeclareMathSymbol\ltimes{\mathbin}{AMSb}{"6E} \DeclareMathSymbol\rtimes{\mathbin}{AMSb}{"6F} \DeclareMathSymbol\shortmid{\mathrel}{AMSb}{"70} \DeclareMathSymbol\shortparallel{\mathrel}{AMSb}{"71} \DeclareMathSymbol\smallsetminus{\mathbin}{AMSb}{"72} \DeclareMathSymbol\thicksim{\mathrel}{AMSb}{"73} \DeclareMathSymbol\thickapprox{\mathrel}{AMSb}{"74} \DeclareMathSymbol\approxeq{\mathrel}{AMSb}{"75} \DeclareMathSymbol\succapprox{\mathrel}{AMSb}{"76} \DeclareMathSymbol\precapprox{\mathrel}{AMSb}{"77} \DeclareMathSymbol\curvearrowleft{\mathrel}{AMSb}{"78} \DeclareMathSymbol\curvearrowright{\mathrel}{AMSb}{"79} \DeclareMathSymbol\digamma{\mathord}{AMSb}{"7A} \DeclareMathSymbol\varkappa{\mathord}{AMSb}{"7B} \DeclareMathSymbol\hslash{\mathord}{AMSb}{"7D} \DeclareMathSymbol\hbar{\mathord}{AMSb}{"7E} \DeclareMathSymbol\backepsilon{\mathrel}{AMSb}{"7F} } % A macro name has been chosen for each of the symbols in the AMS % fonts. There is no need to load any other AMS package in order to % access these symbols. % >>> fuzz <<< % This is the standard fuzz setup, apart from the oz style change to % the setmcodes macro. \def\@setmcodes#1#2#3{{\count0=#1 \count1=#3 \loop \global\mathcode\count0=\count1 \ifnum \count0<#2 \advance\count0 by1 \advance\count1 by1 \repeat}} \@setmcodes{`A}{`Z}{"7\hexnumber@\symitalics41}% \@setmcodes{`a}{`z}{"7\hexnumber@\symitalics61}% \def~{\ifmmode\,\else\penalty\@M\ \fi} \let\@mc=\mathchardef \mathcode`\;="8000 {\catcode`\;=\active \gdef;{\semicolon\;}} \@mc\semicolon="603B \def\strut@op#1{\mathop{\mathstrut{#1}}\nolimits} \def\_{\leavevmode \ifmmode\else\kern0.06em\fi \vbox{\hrule width0.5em}} \mathcode`\"="8000 \def\@kwote#1"{\hbox{\it #1}} {\catcode`\"=\active \global\let"=\@kwote} \mathchardef\spot="320F \mathcode`\@=\spot \mathcode`\|=\mid \def\bsup#1 \esup{^{#1}} \def\inrel#1{\mathrel{\underline{#1}}} \newdimen\zedindent \zedindent=\leftmargini% \newdimen\zedleftsep \zedleftsep=1em% \newdimen\zedtab \zedtab=2em% \newdimen\zedbar \zedbar=6em% \newskip\zedskip \zedskip=0.5\baselineskip plus0.333333\baselineskip% minus0.333333\baselineskip% \def\zedsize{}% \newcount\interzedlinepenalty \interzedlinepenalty=10000% \newcount\preboxpenalty \preboxpenalty=0% \newif\ifzt@p \zt@pfalse% \def\@jot{0.5\zedskip} \def\@narrow{\advance\linewidth by-\zedindent} \def\@zrulefill{\leaders\hrule height\arrayrulewidth\hfill} \def\@topline#1{\hbox to\linewidth{% \vrule height\arrayrulewidth width\arrayrulewidth \vrule height0pt depth\@jot width0pt \hbox to\zedleftsep{\@zrulefill\thinspace}% #1\thinspace\@zrulefill}} \def\@zedline{\omit \vrule height\arrayrulewidth width\linewidth \cr} \def\where{\@zskip\@jot \omit \vrule height\arrayrulewidth width\zedbar \cr \@zskip\@jot} \def\also{\crcr \noalign{\penalty\interdisplaylinepenalty \vskip\zedskip}} \def\@zskip#1{\crcr \omit \vrule height#1 width\arrayrulewidth \cr} \def\@zlign{\tabskip\z@skip\everycr{}} \let\tie=\t \def\t#1{\afterassignment\@t\count@=#1} \def\@t{\hskip\count@\zedtab} \def\@setzsize{\let\next=\@nomath\def\@nomath##1{}% \skip0=\abovedisplayskip\skip1=\belowdisplayskip \zedsize \let\@nomath=\next \abovedisplayskip=\skip0\belowdisplayskip=\skip1} \def\@zed{\ifvmode\@zleavevmode\fi $$\global\zt@ptrue \@setzsize \advance\linewidth by-\zedindent \advance\displayindent by\zedindent \def\\{\crcr}% Must have \def and not \let for nested alignments. \let\par=\relax \tabskip=0pt} \def\@znoskip{\offinterlineskip \everycr={\noalign{\ifzt@p \global\zt@pfalse \ifdim\prevdepth>-1000pt \skip0=\normalbaselineskip \advance\skip0by-\prevdepth \advance\skip0by-\ht\strutbox \ifdim\skip0<\normallineskiplimit \vskip\normallineskip \else \vskip\skip0 \fi\fi \else \penalty\interzedlinepenalty \fi}}} \def\zed{\@zed\@znoskip\halign to\linewidth\bgroup \strut$\@zlign##$\hfil \tabskip=0pt plus1fil\cr} \def\endzed{\crcr\egroup$$\global\@ignoretrue} \def\[{\begingroup\zed} \def\]{\crcr\egroup$$\endgroup\ignorespaces} \def\axdef{\def\also{\@zskip\zedskip}% \predisplaypenalty=\preboxpenalty \@zed\@znoskip \halign to\linewidth\bgroup \strut \vrule width\arrayrulewidth \hskip\zedleftsep $\@zlign##$\hfil \tabskip=0pt plus1fil\cr} \let\endaxdef=\endzed \def\schema#1{\@ifnextchar[{\@schema{#1}}{\@nschema{#1}}} \def\@schema#1[#2]{\@nschema{#1[#2]}} \def\@nschema#1{\@narrow\axdef \omit\@topline{$\strut#1$}\cr} \def\endschema{\@zskip\@jot \@zedline \endzed} \@namedef{schema*}{\@narrow\axdef \@zedline \@zskip\@jot} \expandafter\let\csname endschema*\endcsname=\endschema \def\gendef{\@ifnextchar[{\@gendef}{\@ngendef}} \def\@gendef[#1]{\@narrow\axdef \omit \setbox0=\hbox{$\strut[#1]$}% \rlap{\raise\doublerulesep\@topline{\hskip\wd0}}\@topline{\box0}\cr} \def\@ngendef{\@narrow\axdef \@zedline \omit \hbox to\linewidth{\vrule height\doublerulesep width\arrayrulewidth \@zrulefill}\cr \@zskip\@jot } \let\endgendef=\endschema \def\argue{\@zed \interzedlinepenalty=\interdisplaylinepenalty \openup\@jot \halign to\linewidth\bgroup \strut$\@zlign##$\hfil \tabskip=0pt plus1fil &\hbox to0pt{\hss[\@zlign##\unskip]}\tabskip=0pt\cr \noalign{\vskip-\@jot}} \let\endargue=\endzed \def\because#1{\noalign{\vskip-\jot}\cr} \def\syntax{\@zed\@znoskip \halign\bgroup \strut$\@zlign##$\hfil &\hfil$\@zlign{}##{}$\hfil &$\@zlign##$\hfil\cr} \let\endsyntax=\endzed \def\infrule{\@zed\@znoskip \halign\bgroup \strut\quad$\@zlign##$\quad\hfil&\quad\@zlign##\hfil\cr} \let\endinfrule=\endzed \def\derive{\crcr \noalign{\vskip\@jot} \omit\@zrulefill \@ifnextchar[{\@xderive}{\@yderive}} \def\@xderive[#1]{&$\smash{\lower 0.5ex\hbox{$[\;#1\;]$}}$\cr \noalign{\vskip\@jot}} \def\@yderive{\cr \noalign{\vskip\@jot}} \def\@zleavevmode{\if@inlabel \indent \else\if@noskipsec \indent \else\if@nobreak \global\@nobreakfalse \everypar={}\abovedisplayskip=0pt\fi {\parskip=0pt\noindent}\fi\fi} % From now on, we must depart from the text of fuzz, as we do not have % the oxsy symbol font at our disposal. We must choose symbols from % the AMS or Lucida fonts to compensate for our loss. Sadly, this % means a number of conditional definitions. I have tried to maintain % the order of definitions used in fuzz2.sty, rather than factor the % font-dependent ones out. \let\xlambda=\lambda \let\xmu=\mu \let\xforall=\forall \let\xexists=\exists \def \bind {\mathrel{\leadsto}} \def \bindsto {\mathrel{\leadsto}} \@ifpackageloaded{lucbr}{% \def \lblot {{\langle}\mkern -5mu{|}} \def \rblot {{|}\mkern -5mu{\rangle}} }{% \def \lblot {{\langle}\mkern -3.5mu{|}} \def \rblot {{|}\mkern -3.5mu{\rangle}} } \let\lbind=\lblot \let\rbind=\rblot \def \defs {\mathrel{\widehat=}} \def \power {\strut@op{\bbold P}} \let \cross \times \def \lambda {\strut@op{\xlambda}} \def \mu {\strut@op{\xmu}} \@ifpackageloaded{lucbr}{}{ \def\ldbrack{{[}\mkern-2mu{[}} \def\rdbrack{{]}\mkern-2mu{]}}} \let \lbag \ldbrack \let \rbag \rdbrack \def \lnot {\neg\;} \def \land {\mathrel{\wedge}} \def \lor {\mathrel{\vee}} \let \implies \Rightarrow \let \iff \Leftrightarrow \def \forall {\strut@op{\xforall}} \def \exists {\strut@op{\xexists}} \def \hide {\mathrel{\backslash}} \@ifpackageloaded{lucbr}{% \DeclareMathSymbol{\project}{3}{arrows}{"75}}{% \DeclareMathSymbol{\project}{\mathrel}{AMSa}{"16}} \def \pre {{\mathrm{pre}}\;} \def \semi {\mathrel{\comp}} \def \ldata {\langle\!\langle} \def \rdata {\rangle\!\rangle} \let \shows \vdash \def \pipe {\mathord>\!\!\mathord>} \def \LET {{\mathbf{let}}\;} \def \IF {{\mathbf{if}}\;} \def \THEN {\mathrel{\mathbf{then}}} \def \ELSE {\mathrel{\mathbf{else}}} \let \rel \leftrightarrow \def \dom {\mathop{\mathrm{dom}}} \def \ran {\mathop{\mathrm{ran}}} \def \id {\mathop{\mathrm{id}}} \@ifpackageloaded{lucbr}{% \def\comp{\mathrel{\raise 0.66ex\hbox{\oalign{\hfil% $\scriptscriptstyle\mathsf{o}$\hfil% \cr\hfil$\scriptscriptstyle\mathsf{9}$\hfil}}}} \DeclareMathSymbol{\dres}{\mathbin}{letters}{"2F} \DeclareMathSymbol{\rres}{\mathbin}{letters}{"2E}}{% \def\comp{\mathbin{\raise 0.6ex\hbox{\small\oalign{\hfil% $\scriptscriptstyle\mathrm{o}$\hfil% \cr\hfil$\scriptscriptstyle\mathrm{9}$\hfil}}}} \DeclareMathSymbol{\dres}{\mathbin}{AMSa}{"43} \DeclareMathSymbol{\rres}{\mathbin}{AMSa}{"42} } \def \ndres {\mathbin{\rlap{\raise.05ex\hbox{$-$}}{\dres}}} \def \nrres {\mathbin{\rlap{\raise.05ex\hbox{$-$}}{\rres}}} \def \inv {^\sim} \def \limg {(\!|} \def \rimg {|\!)} \def\@p#1{\mathrel{\ooalign{\hfil$\mapstochar\mkern 5mu$\hfil\cr$#1$}}} \def \pfun {\@p\fun} \let \fun \rightarrow \let \inj \rightarrowtail \@ifpackageloaded{lucbr}{% \DeclareMathSymbol{\pinj}{3}{arrows}{"92} \def \surj {\mathrel{\ooalign{$\fun$\hfil\cr$\mkern3mu\fun$}}} \def \bij {\mathrel{\ooalign{$\inj$\hfil\cr$\mkern4mu\fun$}}}}{% \def \pinj {\@p\inj} \def \surj {\mathrel{\ooalign{$\fun$\hfil\cr$\mkern4mu\fun$}}} \def \bij {\mathrel{\ooalign{$\inj$\hfil\cr$\mkern5mu\fun$}}}} \def \psurj {\@p\surj} \def \nat {{\bbold N}} \def \num {{\bbold Z}} \def \div {\mathbin{\mathsf{div}}} \def \mod {\mathbin{\mathsf{mod}}} \def \upto {\mathbin{\ldotp\ldotp}} \def \plus {^+} \def \star {^*} \def \finset {\strut@op{{\bbold F}}} \def\@f#1{\mathrel{\ooalign{\hfil$\mapstochar\mkern 3mu \mapstochar\mkern 5mu$\hfil\cr$#1$}}} \def \ffun {\@f\fun} \def \finj {\@f\inj} \def \seq {\mathop{\mathrm{seq}}} \def \iseq {\mathop{\mathrm{iseq}}} \def \cat {\mathbin{\raise 0.8ex\hbox{$\smallfrown$}}} \def \filter {\mathbin{\project}} \def \dcat {\mathop{\cat/}} \def \bag {\mathop{\mathrm{bag}}} \def \bcount {\mathbin{\sharp}} \def \inbag {\mathrel{\mathrm{in}}} \let \subbageq \sqsubseteq \def \disjoint {{\mathsf{disjoint}}\;} \def \partition {\mathrel{\mathsf{partition}}} \def \prefix {\mathrel{\mathsf{prefix}}} \def \suffix {\mathrel{\mathsf{suffix}}} \def \inseq {\mathrel{\mathsf{in}}} \def \extract {\mathrel{\upharpoonleft}} \def \uminus@sym{\setbox0=\hbox{$\cup$}\rlap{\hbox to\wd0{\hss\raise0.3ex\hbox{$\scriptscriptstyle{-}$}\hss}}\box0} \def \uminus {\mathrel{\uminus@sym}} % If you are not using csp notation, then feel free to uncomment the % following: % \endinput % >>> csp <<< % We require the following mathematical symbols and aliases when % specifying and reasoning about the behaviour of CSP processes. \let \Inter \bigcap \let \Land \bigwedge \let \Lor \bigvee \let \Union \bigcup \let \inter \cap \def \nin {\not\in} \let \union \cup \def \rat {{\bbold Q}} \def \real {{\bbold R}} \def \cnt {\mathrel{\downarrow}} \def \data {\mathrel{\Downarrow}} \def \during {\mathrel{\uparrow}} \def \nil {\trace{}} \def \clause {\Bigm{|}} \def \contig {\mathrel{\mathbf{in}}} \def \trace#1{\langle #1\rangle} \def \set#1{\{#1\}} \let \ge \geqslant \let \le \leqslant \@ifpackageloaded{lucbr}{% \DeclareMathSymbol{\tick}{0}{arrows}{"AC} }{ \DeclareMathSymbol{\tick}{0}{AMSa}{"58} } \let \subseq \preccurlyeq % We define a number of useful macros for projecting information from % a timed or untimed observation. \def \Begin {\strut@op{\mathrm{begin}}} \def \End {\strut@op{\mathrm{end}}} \def \Head {\strut@op{\mathrm{head}}} \def \First {\strut@op{\mathrm{first}}} \def \Tail {\strut@op{\mathrm{tail}}} \def \Front {\strut@op{\mathrm{front}}} \def \Last {\strut@op{\mathrm{last}}} \def \Times {\strut@op{\mathrm{times}}} \def \Events {\strut@op{\mathrm{events}}} \def \Reverse {\strut@op{\mathrm{reverse}}} % We define a number of useful macros for specification purposes. \def\@PreMacro#1{\mathop{\mbox{\sffamily #1}}} \def\@InMacro#1{\mathrel{\mbox{\sffamily #1}}} \def\@@InMacro#1^#2{\;\mbox{\sffamily #1}^{#2}\;} \def\@SupInMacro#1{\@ifnextchar^{\@@InMacro{#1}}{\@InMacro{#1}}} \def \mInternal {\@PreMacro{internal}} \def \mRef {\@InMacro{ref}} \def \mAt {\@SupInMacro{at}} \def \mLive {\@SupInMacro{live}} \def \mOpen {\@SupInMacro{open}} \def \mFrom {\@InMacro{from}} \def \mUntil {\@InMacro{until}} \def \mLiveFrom {\@InMacro{live from}} \def \mOpenFrom {\@InMacro{open from}} \def \mNameOfLast {\@InMacro{name of last}} \def \mBefore {\@InMacro{before}} \def \mAfter {\@InMacro{after}} \def \mTimeOfLast {\@InMacro{time of last}} % We define a conditional syntax for processes. This is an expression % conditional, and should not be confused with the command conditional % of programming languages. That is, if the boolean condition is % true, then the expression under consideration is equal to the % expression in the first branch. \def \If {\mathrel{\hbox{if}}} \def \Then {\mathrel{\hbox{then}}} \def \Otherwise {\mathrel{\hbox{otherwise}}} \def \Else {\mathrel{\hbox{else}}} \def \Fi {\mathrel{\hbox{fi}}} % In defining macros to set the syntax of real-time CSP, some symbols % are used more than once. For ease of understanding, we define these % symbols as internal macros. \def \csp@at {\hbox{\it @}} \def \csp@bar {\mathord{\mid}} \def \csp@chain {\mathord{\gg}} \def \csp@ext {\mathord{\Box}} \def \csp@int {\mathord{\sqcap}} \def \csp@par {\mathord{\xparallel}} \def \csp@interrupt {\mathord{\triangle}} \def \csp@timeout {\mathord{\triangleright}} \@ifpackageloaded{lucbr}{% \def \csp@leftpar {\csp@bar\mkern -3mu{[}} \def \csp@rightpar {{]}\mkern -3mu\csp@bar} \def \csp@interleave {\csp@bar\mkern-2mu\csp@bar\mkern-2mu\csp@bar} \DeclareMathSymbol{\csp@transfer}{0}{arrows}{"93} }{ \def \csp@leftpar {\csp@bar{[}} \def \csp@rightpar {{]}\csp@bar} \def \csp@interleave {\csp@bar\csp@bar\csp@bar} \def \csp@transfer {\mathord{\swarrow}} } % We define a quick hack to magnify the indexed forms of the choice % and parallel composition operators. It seems to work okay. \def\indexed@op#1{% \mathop{\vcenter{\hbox{\Large$\mathstrut#1$}}}\nolimits} % We are now ready to define the macros used for setting the syntax of % real-time CSP. Notice that the LaTeX version of \parallel *must* be % saved as \xparallel at this point. \let\xparallel \parallel \def \Bottom {\mathord{\perp}} \def \Chaos {{Chaos}} \def \Stop {{Stop}} \def \Skip {{Skip}} \def \Wait {\strut@op{{Wait}}} \def \at {\mathord{\csp@at}} \def \then {\@ifnextchar[{\@then}{\mathrel{\rightarrow}}} \def \@then[#1]{\buildrel #1\over\rightarrow} \def \barchoice {\mathrel{\csp@bar}} \def \intchoice {\mathrel{\csp@int}} \def \extchoice {\mathrel{\csp@ext}} \def \interrupt {\mathrel{\csp@interrupt}} \def \timeout {\@ifnextchar[{\@timeout}{\mathrel{\csp@timeout}}} \def \@timeout[#1]{\mathrel{\csp@timeout\{#1\}}} \def \transfer {\@ifnextchar[{\@transfer}{\mathrel{\csp@transfer}}} \def \@transfer[#1]{\mathrel{\csp@transfer\{#1\}}} \def \parallel {\@ifnextchar[{\@parallel}{\mathrel{\csp@par}}} \def \@parallel[#1]{\@ifnextchar[{\@@parallel[#1]}{% {\mathrel{\,\csp@leftpar\,{#1}\,\csp@rightpar\,}}}} \def \@@parallel[#1][#2]{\mathrel{\,\csp@leftpar\,{#1}\, \csp@bar\,{#2}\,\csp@rightpar\,}} \def \interleave{\mathrel{\csp@interleave}} \def \chain {\mathrel{\csp@chain}} \def \Intchoice {\indexed@op{\csp@int}} \def \Extchoice {\indexed@op{\csp@ext}} \def \Parallel {\indexed@op{\csp@par}} \def \Interleave{\indexed@op{\csp@interleave}} \def \@semapp[#1]{\,\ldbrack #1 \rdbrack} \def \sem@fun#1{{#1}\@ifnextchar[{\@semapp}{}} \def \Semantics {\sem@fun{semantics}} \def \Traces {\sem@fun{traces}} \def \Failures {\sem@fun{failures}} \def \TimedTraces {\sem@fun{timed\,traces}} \def \TimedFailures {\sem@fun{timed\,failures}} \def \Divergences {\sem@fun{divergences}} \def \Infinites {\sem@fun{infinites}} \def \lessdet{\@ifnextchar[{\@lessdet}{\mathrel\sqsubseteq}} \def \@lessdet[#1]{\@ifnextchar[{\lessdet@two[#1]}{\lessdet@one[#1]}} \def \lessdet@one[#1]{\mathrel{\sqsubseteq_{#1}}} \def \lessdet@two[#1][#2]{% \mathrel{{\vphantom{\sqsubseteq}}_{#1}{\sqsubseteq}_{#2}}} \let \refinedby \lessdet \def \sat {\mathrel{\mbox{\bf sat}}} \def \semb#1{{\ldbrack #1 \rdbrack}} % The following symbols have been used by researchers at Oxford to % denote the various semantic models, spaces, and functions. \def\UT{UT} \def\TE{TE} \def\TT{TT} \def\RT{RT} \def\TR{TR} \def\TI{TI} \def\TTi{\TT^i} \def\TTw{\TT^\omega} \def\TRu{\TR^u} \def\@obsmodel#1{{\cal{O}}_{#1}} \def\@obsspace#1{{\cal{S}}_{#1}} \def\@semmodel#1{{\cal{M}}_{#1}} \def\@semfunct#1{{\cal{F}}_{#1}\@ifnextchar[{\@semapp}{}} \def\Out {\@obsmodel{UT}} \def\Sut {\@obsspace{UT}} \def\Ouf {\@obsmodel{UF}} \def\Suf {\@obsspace{UF}} \def\Oufd {\@obsmodel{UFD}} \def\Sufd {\@obsspace{UFD}} \def\Otf {\@obsmodel{TF}} \def\Stf {\@obsspace{TF}} \def\Otfs {\@obsmodel{TFS}} \def\Stfs {\@obsspace{TFS}} \def\Oti {\@obsmodel{TI}} \def\Sti {\@obsspace{TI}} \def\Mut {\@semmodel{UT}} \def\Fut {\@semfunct{UT}} \def\Muf {\@semmodel{UF}} \def\Fuf {\@semfunct{UF}} \def\Mufd {\@semmodel{UFD}} \def\Fufd {\@semfunct{UFD}} \def\Mtf {\@semmodel{TF}} \def\Ftf {\@semfunct{TF}} \def\Mtfs {\@semmodel{TFS}} \def\Ftfs {\@semfunct{TFS}} \def\Mti {\@semmodel{TI}} \def\Fti {\@semfunct{TI}} \endinput