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Dmitry Boulytchev 2018-12-06 21:36:23 +03:00
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doc/02.tex
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@ -53,10 +53,14 @@ With the relation ``$\Rightarrow$'' defined we can abbreviate the ``surface'' se
\begin{figure}[t]
\arraycolsep=10pt
\[\trans{\inbr{\sigma,\, \iota,\, o}}{\llang{x := $\;\;e$}}{\inbr{\sigma\,[x\gets\sembr{e}_{\mathscr E}\;\sigma],\, \iota,\, o}}\ruleno{Assign}\]
\[\trans{\inbr{\sigma,\, z\iota,\, o}}{\llang{read ($x$)}}{\inbr{\sigma\,[x\gets z],\, \iota,\, o}}\ruleno{Read}\]
\[\trans{\inbr{\sigma,\, \iota,\, o}}{\llang{write ($e$)}}{\inbr{\sigma,\, \iota,\, o(\sembr{e}_{\mathscr E}\;\sigma)}}\ruleno{Write}\]
\[\trule{\trans{c_1}{S_1}{c^\prime},\;\trans{c^\prime}{S_2}{c_2}}{\trans{c_1}{S_1\llang{;}S_2}{c_2}}\ruleno{Seq}\]
\[\trule{\begin{array}{cc}
\trans{c_1}{S_1}{c^\prime} & \trans{c^\prime}{S_2}{c_2}
\end{array}}
{\trans{c_1}{S_1\llang{;}S_2}{c_2}}\ruleno{Seq}\]
\caption{Big-step operational semantics for statements}
\label{bs_stmt}
\end{figure}