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#emacs | ||
.#* | ||
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#vscode | ||
__latexindent_temp.tex | ||
*.synctex.gz | ||
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#latex temporary | ||
*.aux | ||
*.log | ||
*.toc | ||
*.out | ||
*.fls | ||
*.xdv | ||
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# latexmk | ||
*.texmk | ||
*.fdb_latexmk | ||
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#BibTeX | ||
*.bbl | ||
*.blg |
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all: | ||
latexmk -xelatex main | ||
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pvc: | ||
latexmk -xelatex main -pvc | ||
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clean: | ||
latexmk -c | ||
rm *.xdv | ||
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# clean all including pdf | ||
clean-all: | ||
latexmk -C | ||
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
%%% %%% | ||
%%% BCP's latex tricks for typesetting inference rules %%% | ||
%%% %%% | ||
%%% Version 1.4 %%% | ||
%%% %%% | ||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
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%%% | ||
%%% This package supports two styles of rules: named and unnamed. | ||
%%% Unnamed rules are centered on the page. Named rules are set so | ||
%%% that a series of them will have the rules centered in a vertical | ||
%%% column taking most of the page and the labels right-justified. | ||
%%% When a label would overlap its rule, the label is moved down. | ||
%%% | ||
%%% The width of the column of labels can be varied using a command of the | ||
%%% form | ||
%%% | ||
%%% \typicallabel{T-Arrow-I} | ||
%%% | ||
%%% The default setting is: | ||
%%% | ||
%%% \typicallabel{} | ||
%%% | ||
%%% In other words, the column of rules takes up the whole width of | ||
%%% the page: rules are centered on the centerline of the text, and no | ||
%%% extra space is left for the labels. | ||
%%% | ||
%%% The minimum distance between a rule and its label can be altered by a | ||
%%% command of the form | ||
%%% | ||
%%% \setlength{\labelminsep}{0.5em} | ||
%%% | ||
%%% (This is the default value.) | ||
%%% | ||
%%% Examples: | ||
%%% | ||
%%% An axiom with a label in the right-hand column: | ||
%%% | ||
%%% \infax[The name]{x - x = 0} | ||
%%% | ||
%%% An inference rule with a name: | ||
%%% | ||
%%% \infrule[Another name] | ||
%%% {\mbox{false}} | ||
%%% {x - x = 1} | ||
%%% | ||
%%% A rule with multiple premises on the same line: | ||
%%% | ||
%%% \infrule[Wide premises] | ||
%%% {x > 0 \andalso y > 0 \andalso z > 0} | ||
%%% {x + y + z > 0} | ||
%%% | ||
%%% A rule with several lines of premises: | ||
%%% | ||
%%% \infrule[Long premises] | ||
%%% {x > 0 \\ y > 0 \\ z > 0} | ||
%%% {x + y + z > 0} | ||
%%% | ||
%%% A rule without a name, but centered on the same vertical line as rules | ||
%%% and axioms with names: | ||
%%% | ||
%%% \infrule[] | ||
%%% {x - y = 5} | ||
%%% {y - x = -5} | ||
%%% | ||
%%% A rule without a name, centered on the page: | ||
%%% | ||
%%% \infrule | ||
%%% {x = 5} | ||
%%% {x - 1 > 0} | ||
%%% | ||
%%% | ||
%%% Setting the flag \indexrulestrue causes an index entry to be | ||
%%% generated for each named rule. | ||
%%% | ||
%%% Setting the flag \suppressrulenamestrue causes the names of all rules | ||
%%% to be left blank | ||
%%% | ||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
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%%% A switch controlling the sizes of rule names | ||
\newif\ifsmallrulenames \smallrulenamesfalse | ||
\newcommand{\smallrulenames}{\smallrulenamestrue} | ||
\newcommand{\choosernsize}[2]{\ifsmallrulenames#1\else#2\fi} | ||
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%%% The font for setting inference rule names | ||
\newcommand{\rn}[1]{% | ||
\ifmmode | ||
\mathchoice | ||
{\mbox{\choosernsize{\small}{}\sc #1}} | ||
{\mbox{\choosernsize{\small}{}\sc #1}} | ||
{\mbox{\choosernsize{\tiny}{\small}\sc #1}} | ||
{\mbox{\choosernsize{\tiny}{\tiny}\uppercase{#1}}}% | ||
\else | ||
\hbox{\choosernsize{\small}{}\sc #1}% | ||
\fi} | ||
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\newif\ifsuppressrulenames | ||
\suppressrulenamesfalse | ||
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\newif\ifbcprulessavespace | ||
\bcprulessavespacefalse | ||
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\newif\ifbcprulestwocol | ||
\bcprulestwocolfalse | ||
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%%% How to display a rule's name to the right of the rule | ||
\newcommand{\inflabel}[1]{% | ||
\ifsuppressrulenames\else | ||
\def\lab{#1}% | ||
\ifx\lab\empty | ||
\relax | ||
\else | ||
(\rn{\lab})% | ||
\fi\fi | ||
} | ||
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%%% Amount of extra space to add before and after a rule | ||
\newlength{\afterruleskip} | ||
\setlength{\afterruleskip}{\bigskipamount} | ||
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%%% Minimum distance between a rule and its label | ||
\newlength{\labelminsep} | ||
\setlength{\labelminsep}{0.2em} | ||
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%%% The ``typical'' width of the column of labels: labels are allowed | ||
%%% to project further to the left if necessary; the rules will be | ||
%%% centered in a column of width \linewidth - \labelcolwidth | ||
\newdimen\labelcolwidth | ||
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%%% Set the label column width by providing a ``typical'' label -- | ||
%%% i.e. a label of average length | ||
\newcommand{\typicallabel}[1]{ | ||
\setbox \@tempboxa \hbox{\inflabel{#1}} | ||
\labelcolwidth \wd\@tempboxa | ||
} | ||
\typicallabel{} | ||
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%%% A flag controlling generation of index entries | ||
\newif \ifindexrules \indexrulesfalse | ||
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%%% Allocate some temporary registers | ||
\newbox\@labelbox | ||
\newbox\rulebox | ||
\newdimen\ruledim | ||
\newdimen\labeldim | ||
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%%% Put a rule and its label on the same line if this can be done | ||
%%% without overlapping them; otherwise, put the label on the next | ||
%%% line. Put a small amount of vertical space above and below. | ||
\newcommand{\layoutruleverbose}[2]% | ||
{\unvbox\voidb@x % to make sure we're in vmode | ||
\addvspace{\afterruleskip}% | ||
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\setbox \rulebox \hbox{$\displaystyle #2$} | ||
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\setbox \@labelbox \hbox{#1} | ||
\ruledim \wd \rulebox | ||
\labeldim \wd \@labelbox | ||
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%%% Will it all fit comfortably on one line? | ||
\@tempdima \linewidth | ||
\advance \@tempdima -\labelcolwidth | ||
\ifdim \@tempdima < \ruledim | ||
\@tempdima \ruledim | ||
\else | ||
\advance \@tempdima by \ruledim | ||
\divide \@tempdima by 2 | ||
\fi | ||
\advance \@tempdima by \labelminsep | ||
\advance \@tempdima by \labeldim | ||
\ifdim \@tempdima < \linewidth | ||
% Yes, everything fits on a line | ||
\@tempdima \linewidth | ||
\advance \@tempdima -\labelcolwidth | ||
\hbox to \linewidth{% | ||
\hbox to \@tempdima{% | ||
\hfil | ||
\box\rulebox | ||
\hfil}% | ||
\hfill | ||
\hbox to 0pt{\hss\box\@labelbox}% | ||
}% | ||
\else | ||
% | ||
% Will it all fit _UN_comfortably on one line? | ||
\@tempdima 0pt | ||
\advance \@tempdima by \ruledim | ||
\advance \@tempdima by \labelminsep | ||
\advance \@tempdima by \labeldim | ||
\ifdim \@tempdima < \linewidth | ||
% Yes, everything fits, but not centered | ||
\hbox to \linewidth{% | ||
\hfil | ||
\box\rulebox | ||
\hskip \labelminsep | ||
\box\@labelbox}% | ||
\else | ||
% | ||
% Better put the label on the next line | ||
\@tempdima \linewidth | ||
\advance \@tempdima -\labelcolwidth | ||
\hbox to \linewidth{% | ||
\hbox to \@tempdima{% | ||
\hfil | ||
\box\rulebox | ||
\hfil} | ||
\hfil}% | ||
\penalty10000 | ||
\hbox to \linewidth{% | ||
\hfil | ||
\box\@labelbox}% | ||
\fi\fi | ||
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\addvspace{\afterruleskip}% | ||
\@doendpe % use LaTeX's trick of inhibiting paragraph indent for | ||
% text immediately following a rule | ||
\ignorespaces | ||
} | ||
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% Simplified form for when there is no label | ||
\newcommand{\layoutrulenolabel}[1]% | ||
{\unvbox\voidb@x % to make sure we're in vmode | ||
\addvspace{\afterruleskip}% | ||
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\setbox \rulebox \hbox{$\displaystyle #1$} | ||
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\@tempdima \linewidth | ||
\advance \@tempdima -\labelcolwidth | ||
\hbox to \@tempdima{% | ||
\hfil | ||
\box\rulebox | ||
\hfil}% | ||
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\addvspace{\afterruleskip}% | ||
\@doendpe % use LaTeX's trick of inhibiting paragraph indent for | ||
% text immediately following a rule | ||
\ignorespaces | ||
} | ||
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% Alternate form, for when we need to save space | ||
%\newcommand{\layoutruleterse}[2]% | ||
% {\noindent | ||
% \parbox[b]{0.5\linewidth}{\layoutruleverbose{#1}{#2}}} | ||
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\newcommand{\layoutruleterse}[2]% | ||
{\setbox \rulebox \hbox{$\displaystyle #2$} | ||
\noindent | ||
\parbox[b]{0.5\linewidth} | ||
{\vspace*{0.4em} \hfill\box\rulebox\hfill~} | ||
} | ||
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%%% Select low-level layout driver based on \bcprulessavespace flag | ||
\newcommand{\layoutrule}[2]{% | ||
\ifbcprulessavespace | ||
\layoutruleterse{#1}{#2} | ||
\else | ||
\layoutruleverbose{#1}{#2} | ||
\fi | ||
} | ||
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%%% Highlighting for new versions of rules | ||
\newif\ifnewrule \newrulefalse | ||
\newcommand{\setrulebody}[1]{% | ||
\ifnewrule | ||
\@ifundefined{HIGHLIGHT}{% | ||
\fbox{\ensuremath{#1}}% | ||
}{% | ||
\HIGHLIGHT{#1}}% | ||
\else | ||
#1 | ||
\fi | ||
} | ||
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%%% Commands for setting axioms and rules | ||
\newcommand{\typesetax}[1]{% | ||
\setrulebody{% | ||
\begin{array}{@{}c@{}}#1\end{array}}} | ||
\newcommand{\typesetrule}[2]{% | ||
\setrulebody{% | ||
\frac{\begin{array}{@{}c@{}}#1\end{array}}% | ||
{\begin{array}{@{}c@{}}#2\end{array}}}} | ||
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%%% Indexing | ||
\newcommand{\ruleindexprefix}[1]{% | ||
\gdef\ruleindexprefixstring{#1}} | ||
\ruleindexprefix{} | ||
\newcommand{\maybeindex}[1]{% | ||
\ifindexrules | ||
\index{\ruleindexprefixstring#1@\rn{#1}}% | ||
\fi} | ||
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%%% Setting axioms, with or without names | ||
\def\infax{\@ifnextchar[{\@infaxy}{\@infaxx}} | ||
\def\@infaxx#1{% | ||
\ifbcprulessavespace $\typesetax{#1}$% | ||
\else \layoutrulenolabel{\typesetax{#1}}% | ||
\fi\newrulefalse\ignorespaces} | ||
\def\@infaxy[#1]{\maybeindex{#1}\@infax{\inflabel{#1}}} | ||
\def\@infax#1#2{\layoutrule{#1}{\typesetax{#2}}\ignorespaces} | ||
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%%% Setting rules, with or without names | ||
\def\infrule{\@ifnextchar[{\@infruley}{\@infrulex}} | ||
\def\@infrulex#1#2{% | ||
\ifbcprulessavespace $\typesetrule{#1}{#2}$% | ||
\else \layoutrulenolabel{\typesetrule{#1}{#2}}% | ||
\fi\newrulefalse\ignorespaces} | ||
\def\@infruley[#1]{\maybeindex{#1}\@infrule{\inflabel{#1}}} | ||
\def\@infrule#1#2#3{\layoutrule{#1}{\typesetrule{#2}{#3}}\ignorespaces} | ||
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%%% Miscellaneous helpful definitions | ||
\newcommand{\andalso}{\quad\quad} | ||
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% Abbreviations | ||
\newcommand{\infabbrev}[2]{\infax{#1 \quad\eqdef\quad #2}} | ||
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