1
2
3
4
5
6
7
8
9
10
11
12
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
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
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
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
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
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% %%
%% synproof.sty v. 1.0 by Paul Isambert %%
%% This set of macros is published under the LaTeX Project Public License: %%
%% %%
%% Do whatever you want to that software, %%
%% but if you modify it, change its name to avoid confusion, %%
%% and if you copy part of the code please mention where it comes from. %%
%% %%
%% Comments, suggestions and bugs: %%
%% %%
%% zappathustra@free.fr %%
%% %%
%% http://paulisambert.free.fr/ %%
%% %%
%% Enjoy! %%
%% %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{synprrof}[2007/06/09 Drawing syntactic proofs with PSTricks.]
\RequirePackage{ifthen}
\RequirePackage{pstricks}
\RequirePackage{pst-node}
\RequirePackage{keyval}
%%%%%%%%%%%%%%%%%%%%%%%
% Options declaration %
%%%%%%%%%%%%%%%%%%%%%%%
\DeclareOption{symbols}{%
\newcommand{\Exists}{$\exists$}%
\newcommand{\Forall}{$\forall$}%
\newcommand{\Neg}{$\neg$}%
\newcommand{\And}{$\wedge$}%
\newcommand{\Or}{$\vee$}%
\newcommand{\Falsum}{$\bot$}%
\newcommand{\Implies}{$\rightarrow$}%
}
\ProcessOptions\relax
\makeatletter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Counters, Lengths and Keys %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This is a "perverted" version of \newcounter, which allows you
% (or rather me) to create a new counter even if it's already defined.
\def\newctr#1{\@definecounter{#1}}
\newcounter{lab}
\newcounter{infline}
\newcounter{embedding}
\newcounter{endassumption}
\newcounter{step}
\newcommand{\LineNum}[1]{\setcounter{step}{#1}\addotocounter{step}{-1}}
% \Start and \Num set the position of the starting point of the
% assumption line and the position of the line number respectively,
% and are not accessible from user's interface. See the documentation
% for the other lengths.
\newlength{\Start}
\setlength{\Start}{.8cm}
\newlength{\Num}
\setlength{\Num}{1cm}
\newlength{\NumToEx}
\setlength{\NumToEx}{2cm}
\define@key{synproof}{NumToEx}{\addtolength{\NumToEx}{#1cm}}
\newlength{\ExToRule}
\setlength{\ExToRule}{8cm}
\define@key{synproof}{ExToRule}{\addtolength{\ExToRule}{#1cm}}
\newlength{\OutLine}
\setlength{\OutLine}{-.6cm}
\define@key{synproof}{OutLine}{\addtolength{\OutLine}{#1mm}}
\newlength{\LineSpace}
\setlength{\LineSpace}{.15cm}
\define@key{synproof}{LineSpace}{\addtolength{\LineSpace}{#1mm}}
\newlength{\AssumeLine}
\setlength{\AssumeLine}{10cm}
\define@key{synproof}{AssumeLine}{\addtolength{\AssumeLine}{#1cm}}
\define@key{synproof}{HorAlign}{%
\addtolength{\OutLine}{#1cm}%
\addtolength{\Start}{#1cm}%
\addtolength{\AssumeLine}{#1cm}%
\addtolength{\Num}{#1cm}%
\addtolength{\NumToEx}{#1cm}%
\addtolength{\ExToRule}{#1cm}}
\newcommand{\ResetDim}{%
\setlength{\OutLine}{-.6cm}%
\setlength{\Start}{.8cm}%
\setlength{\AssumeLine}{10cm}%
\setlength{\Num}{1cm}%
\setlength{\NumToEx}{2cm}%
\setlength{\ExToRule}{8cm}%
\setlength{\LineSpace}{.15cm}%
}
\newcommand{\SetDim}[1]{\setkeys{synproof}{#1}}
%%%%%%%%%%%%%%%%%%%%%%%
% Definition of \step %
%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\step}[3][none]{%
\@ifnextchar[%
{\step@i[#1]{#2}{#3}}%
{\step@i[#1]{#2}{#3}[none]}%
}%
\def\step@i[#1]#2#3[#4]{%
\addtocounter{infline}{-4}% Position of the line relative to the previous one
\stepcounter{step}% Line number
\ifthenelse{\equal{#1}{none}}%
{\rput[ml](\Num,\value{infline}ex){\thestep.}}% Automatic numbering and position of the line number
{\rput[ml](\Num,\value{infline}ex){#1.}}%
\rput[ml](\NumToEx,\value{infline}ex){#2}% Position of the expression
\rput[ml](\ExToRule,\value{infline}ex){#3}% Position of the rule
\ifthenelse{\equal{#4}{none}}{}{% Optional label
\expandafter\newsavebox\expandafter{\csname lab@#4\endcsname}%
\expandafter\savebox\expandafter{\csname lab@#4\endcsname}{%
\ifthenelse{\equal{#1}{none}}%
{\thestep}%
{#1}%
}%
\@namedef{#4}{\expandafter\usebox\expandafter{\csname lab@#4\endcsname}}% Creation of the command to call the label
}%
}%
%%%%%%%%%%%%%%%
% Environment %
%%%%%%%%%%%%%%%
\newenvironment{synproof}[2][]{%
\noindent%
\setkeys{synproof}{#1}%
\begin{pspicture}(-1,0)(15,-#2)%
\setcounter{step}{0}%
\setcounter{infline}{0}%
}%
{\end{pspicture}}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \assumption and \assumend %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\assumption}{%
\addtolength{\OutLine}{\LineSpace}% Increases the position of the assumption line by the value of \LineSpace
\stepcounter{embedding}%
\expandafter\newctr\expandafter{\alph{embedding}begin@ss}% This counter is created on the fly to keep track of the starting positions
\expandafter\setcounter\expandafter{\alph{embedding}begin@ss}{\value{infline}}% of running assumptions
\expandafter\addtocounter\expandafter{\alph{embedding}begin@ss}{-4}%
}%
\newcommand{\assumend}{%
\setcounter{endassumption}{\value{infline}}% Tuning of the end position of the assumption line. Should not be modified.
\addtocounter{endassumption}{-2}%
\psline[linewidth=.5pt]%
(\Start,\value{\alph{embedding}begin@ss}ex)%
(\OutLine,\value{\alph{embedding}begin@ss}ex)%
(\OutLine,\value{endassumption}ex)%
(\AssumeLine,\value{endassumption}ex)%
\addtocounter{embedding}{-1}% Back to the previous running assumption
\addtolength{\OutLine}{-\LineSpace}% Back to the previous setting of the line position
}%
\makeatother
|
