sl1defs.tex


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

\newcommand{\calA}[1]{{\cal A}\llbracket #1 \rrbracket}
\newcommand{\calB}[1]{{\cal B}\llbracket #1 \rrbracket}
\newcommand{\CC}{{\mathbb C}}
\newcommand{\desda}{\leftrightarrow}
\newcommand{\Desda}{\Leftrightarrow}
\newcommand{\dimpl}{\Rightarrow}
\newcommand{\espace}{\hspace*{0.2cm}}
\newcommand{\impl}{\rightarrow}
\newcommand{\mgeq}{\begin{math}\geq\end{math}}
\newcommand{\mggd}{\mbox{ggd}}
\newcommand{\mgcd}{\mbox{gcd}}
\newcommand{\minv}{\mbox{INV}}
\newcommand{\mneg}{\begin{math}\neg\end{math}}
\newcommand{\mneq}{\begin{math}\neq\end{math}}
\newcommand{\mwedge}{\begin{math}\wedge\end{math}}
\newcommand{\NN}{{\mathbb N}}
\newcommand{\postboven}{}
\newcommand{\postonder}{}
\newcommand{\preboven}{}
\newcommand{\preonder}{}
\newcommand{\punten}[1]{\marginpar{\fbox{#1}}}
\newcommand{\QQ}{{\mathbb Q}}
\newcommand{\RR}{{\mathbb R}}
\newcommand{\psq}[3]{\{#1\}\espace #2 \espace \{#3\}}
\newcommand{\psqsr}[5]{\{#1\}\espace #2 \espace \{#3\} \espace #4 \espace \{#5\}}
\newcommand{\psqsrst}[7]{\{#1\}\espace #2 \espace \{#3\} \espace #4 \espace \{#5\} \espace #6 \espace \{#7\}}
\newcommand{\psqan}[5]{\{#1\}^{#4}\espace #2 \espace \{#3\}^{#5}}
\newcommand{\allttmath}[1]{\begin{math}#1\end{math}}
\newcommand{\allttsup}[1]{\begin{math}^{#1}\end{math}}
\newcommand{\allttsub}[1]{\begin{math}_{#1}\end{math}}

\newcommand{\sblock}[2]{\mbox{\texttt{begin~}}#1\espace#2\mbox{\texttt{~end}}}
\newcommand{\svar}[2]{\mbox{\texttt{var~}}#1:=#2;}
\newcommand{\sass}[2]{#1:=#2}
\newcommand{\scomp}[2]{#1;#2}
\newcommand{\sifthenelse}[3]{\mbox{\texttt{if~}}#1\mbox{\texttt{~then~}}#2\mbox{\texttt{~else~}}#3}
\newcommand{\sor}[2]{#1\mbox{\texttt{~or~}}#2}
\newcommand{\srepeatuntil}[2]{\mbox{\texttt{repeat~}}#1\mbox{\texttt{~until~}}#2}
\newcommand{\sskip}{\mbox{\texttt{skip}}}
\newcommand{\swhile}[2]{\mbox{\texttt{while~}}#1\mbox{\texttt{~do~}}#2}
\newcommand{\swhileuntil}[3]{\mbox{\texttt{while~}}#1\mbox{\texttt{~do~}}#2\mbox{\texttt{~until~}}#3}
\newcommand{\trans}[3]{\langle #1, #2\rangle \impl #3}
\newcommand{\ZZ}{{\mathbb Z}}
\newenvironment{sol}{\expandafter\ifsols\par{\bf{Oplossing:}\\}}{\par\expandafter\fi}
\newcommand{\mtt}{\mbox{tt}}
\newcommand{\mff}{\mbox{ff}}
\newcommand{\mwhile}{\mbox{while}}
\newcommand{\mif}{\mbox{if}}
\newcommand{\mthen}{\mbox{then}}
\newcommand{\melse}{\mbox{else}}
\newcommand{\mdo}{\mbox{do}}
\newcommand{\mmskip}{\mbox{skip}}
\newcommand{\mtrue}{\mbox{true}}
\newcommand{\mfalse}{\mbox{false}}
\newcommand{\rskipp}{[\mbox{skip}_{\mbox{p}}]}
\newcommand{\rassp}{[\mbox{ass}_{\mbox{p}}]}
\newcommand{\rcompp}{[\mbox{comp}_{\mbox{p}}]}
\newcommand{\rifp}{[\mbox{if}_{\mbox{p}}]}
\newcommand{\rwhilep}{[\mbox{while}_{\mbox{p}}]}
\newcommand{\rconsp}{[\mbox{cons}_{\mbox{p}}]}
\newcommand{\rvar}{[\mbox{var}_{\mbox{ns}}]}
\newcommand{\rnone}{[\mbox{none}_{\mbox{ns}}]}
\newcommand{\rass}{[\mbox{ass}_{\mbox{ns}}]}
\newcommand{\rskip}{[\mbox{skip}_{\mbox{ns}}]}
\newcommand{\rcomp}{[\mbox{comp}_{\mbox{ns}}]}
\newcommand{\riftt}{[\mbox{if}_{\mbox{ns}}^{\mbox{tt}}]}
\newcommand{\rifff}{[\mbox{if}_{\mbox{ns}}^{\mbox{ff}}]}
\newcommand{\rwhilett}{[\mbox{while}_{\mbox{ns}}^{\mbox{tt}}]}
\newcommand{\rwhileff}{[\mbox{while}_{\mbox{ns}}^{\mbox{ff}}]}
\newcommand{\rwhileuntilttff}{[\mbox{while-until}_{\mbox{ns}}^{\mbox{ttff}}]}
\newcommand{\rwhileuntiltttt}{[\mbox{while-until}_{\mbox{ns}}^{\mbox{tttt}}]}
\newcommand{\rwhileuntilff}{[\mbox{while-until}_{\mbox{ns}}^{\mbox{ff}}]}
\newcommand{\rcall}{[\mbox{call}_{\mbox{ns}}]}
\newcommand{\rcallrec}{[\mbox{call}_{\mbox{ns}}^{\mbox{rec}}]}
\newcommand{\strans}[4]{{#1} \vdash \langle {#2}, {#3} \rangle \rightarrow {#4}}
\newcommand{\dtrans}[3]{\langle {#1}, {#2} \rangle \rightarrow_{D} {#3}}

\newcommand{\axjustifies}{\thickness0em\justifies}
\endinput