ChengsongTanPhdThesis/Chapters/Introduction.tex
changeset 558 671a83abccf3
parent 557 812e5d112f49
child 564 3cbcd7cda0a9
equal deleted inserted replaced
557:812e5d112f49 558:671a83abccf3
    55 \def\mkeps{\textit{mkeps}}
    55 \def\mkeps{\textit{mkeps}}
    56 \newcommand{\rder}[2]{#2 \backslash_r #1}
    56 \newcommand{\rder}[2]{#2 \backslash_r #1}
    57 
    57 
    58 \def\nonnested{\textit{nonnested}}
    58 \def\nonnested{\textit{nonnested}}
    59 \def\AZERO{\textit{AZERO}}
    59 \def\AZERO{\textit{AZERO}}
       
    60 \def\sizeNregex{\textit{sizeNregex}}
    60 \def\AONE{\textit{AONE}}
    61 \def\AONE{\textit{AONE}}
    61 \def\ACHAR{\textit{ACHAR}}
    62 \def\ACHAR{\textit{ACHAR}}
    62 
    63 
    63 \def\scfrewrites{\stackrel{*}{\rightsquigarrow_{scf}}}
    64 \def\scfrewrites{\stackrel{*}{\rightsquigarrow_{scf}}}
    64 \def\frewrite{\rightsquigarrow_f}
    65 \def\frewrite{\rightsquigarrow_f}
    97 \def\distinctWith{\textit{distinctWith}}
    98 \def\distinctWith{\textit{distinctWith}}
    98 \def\lf{\textit{lf}}
    99 \def\lf{\textit{lf}}
    99 \def\PD{\textit{PD}}
   100 \def\PD{\textit{PD}}
   100 \def\suffix{\textit{Suffix}}
   101 \def\suffix{\textit{Suffix}}
   101 \def\distinctBy{\textit{distinctBy}}
   102 \def\distinctBy{\textit{distinctBy}}
       
   103 \def\starupdate{\textit{starUpdate}}
       
   104 \def\starupdates{\textit{starUpdates}}
       
   105 
   102 
   106 
   103 \def\size{\mathit{size}}
   107 \def\size{\mathit{size}}
   104 \def\rexp{\mathbf{rexp}}
   108 \def\rexp{\mathbf{rexp}}
   105 \def\simp{\mathit{simp}}
   109 \def\simp{\mathit{simp}}
   106 \def\simpALTs{\mathit{simp}\_\mathit{ALTs}}
   110 \def\simpALTs{\mathit{simp}\_\mathit{ALTs}}
   107 \def\map{\mathit{map}}
   111 \def\map{\mathit{map}}
   108 \def\distinct{\mathit{distinct}}
   112 \def\distinct{\mathit{distinct}}
   109 \def\blexersimp{\mathit{blexer}\_\mathit{simp}}
   113 \def\blexersimp{\mathit{blexer}\_\mathit{simp}}
   110 \def\map{\textit{map}}
   114 \def\map{\textit{map}}
   111 %\def\vsuf{\textit{vsuf}}
       
   112 %\def\sflataux{\textit{sflat}\_\textit{aux}}
       
   113 \def\rrexp{\textit{rrexp}}
   115 \def\rrexp{\textit{rrexp}}
   114 \newcommand\rnullable[1]{\textit{rnullable} \; #1 }
   116 \newcommand\rnullable[1]{\textit{rnullable} \; #1 }
   115 \newcommand\rsize[1]{\llbracket #1 \rrbracket_r}
   117 \newcommand\rsize[1]{\llbracket #1 \rrbracket_r}
   116 \newcommand\asize[1]{\llbracket #1 \rrbracket}
   118 \newcommand\asize[1]{\llbracket #1 \rrbracket}
   117 \newcommand\rerase[1]{ (#1)_{\downarrow_r}}
   119 \newcommand\rerase[1]{ (#1)_{\downarrow_r}}
   130 
   132 
   131 \def\RZERO{\mathbf{0}_r }
   133 \def\RZERO{\mathbf{0}_r }
   132 \def\RONE{\mathbf{1}_r}
   134 \def\RONE{\mathbf{1}_r}
   133 \newcommand\RCHAR[1]{\mathbf{#1}_r}
   135 \newcommand\RCHAR[1]{\mathbf{#1}_r}
   134 \newcommand\RSEQ[2]{#1 \cdot #2}
   136 \newcommand\RSEQ[2]{#1 \cdot #2}
   135 \newcommand\RALTS[1]{\oplus #1}
   137 \newcommand\RALTS[1]{\sum #1}
   136 \newcommand\RSTAR[1]{#1^*}
   138 \newcommand\RSTAR[1]{#1^*}
   137 \newcommand\vsuf[2]{\textit{vsuf} \;#1\;#2}
   139 \newcommand\vsuf[2]{\textit{Suffix} \;#1\;#2}
   138 
   140 
   139 
   141 
   140 
   142 
   141 \pgfplotsset{
   143 \pgfplotsset{
   142     myplotstyle/.style={
   144     myplotstyle/.style={