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Lectures

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Dmitry Boulytchev 2018-11-19 00:20:43 +03:00
parent 29efb45353
commit ef8ea21216
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12
doc/05.tex
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@ -94,8 +94,8 @@ Finally, we need two transformations for states:
\[
\begin{array}{rcl}
\mbox{\textbf{enter}}\,\inbr{\sigma_g,\,\_,\,\_}\,S & = & \inbr{\sigma_g,\,S,\,\bot}\\
\mbox{\textbf{leave}}\,\inbr{\sigma_g,\,\_,\,\_}\,\inbr{\_,\,S,\,\sigma_l}& = & \inbr{\sigma_g,\,S,\,\sigma_l}
\primi{enter}{\inbr{\sigma_g,\,\_,\,\_}\,S} & = & \inbr{\sigma_g,\,S,\,\bot}\\
\primi{leave}{\inbr{\sigma_g,\,\_,\,\_}\,\inbr{\_,\,S,\,\sigma_l}}& = & \inbr{\sigma_g,\,S,\,\sigma_l}
\end{array}
\]
@ -110,8 +110,8 @@ propagate this environment, adding $\withenv{\Gamma}{...}$ for each transition `
need now is to describe the rule for procedure calls:
\[
\trule{\withenv{\Gamma}{\trans{\inbr{\mbox{\textbf{enter}}\;\sigma\,(\bar{a}@\bar{l})[\overline{a\gets\sembr{e}\sigma}],\,i,\,o}}{S}{\inbr{\sigma^\prime,\,i^\prime,\,o^\prime}}}}
{\withenv{\Gamma}{\trans{\inbr{\sigma,\,i,\,o}}{f (\bar{e})}{\inbr{\mbox{\textbf{leave}}\;\sigma^\prime\,\sigma,\,i^\prime,o^\prime}}}}
\trule{\withenv{\Gamma}{\trans{\inbr{\primi{enter}{\sigma\,(\bar{a}@\bar{l})[\overline{a\gets\sembr{e}\sigma}]},\,i,\,o}}{S}{\inbr{\sigma^\prime,\,i^\prime,\,o^\prime}}}}
{\withenv{\Gamma}{\trans{\inbr{\sigma,\,i,\,o}}{f (\bar{e})}{\inbr{\primi{leave}{\sigma^\prime\,\sigma},\,i^\prime,o^\prime}}}}
\ruleno{Call$_{bs}$}
\]
@ -146,7 +146,7 @@ affect the control stack, it gets threaded through all rules of operational sema
Now we specify additional rules for the new instructions:
\[
\trule{\withenv{P}{\trans{\inbr{cs,\,st,\,\inbr{\mbox{\textbf{enter}}\;\sigma\,(\bar{a}@\bar{l})\overline{[a\gets z]},\,i,\,o}}}{p}{c^\prime}}}
\trule{\withenv{P}{\trans{\inbr{cs,\,st,\,\inbr{\primi{enter}{\sigma\,(\bar{a}@\bar{l})\overline{[a\gets z]}},\,i,\,o}}}{p}{c^\prime}}}
{\withenv{P}{\trans{\inbr{cs,\,\bar{z}@st,\,\inbr{\sigma,\,i,\,o}}}{(\llang{BEGIN $\;\bar{a}\,\bar{l}$})p}{c^\prime}}}
\ruleno{Begin$_{SM}$}
\]
@ -158,7 +158,7 @@ Now we specify additional rules for the new instructions:
\]
\[
\trule{\withenv{P}{\trans{\inbr{cs,\,st,\,\inbr{\mbox{\textbf{leave}}\;\sigma\,\sigma^\prime,\,i,\,o}}}{p^\prime}{c^\prime}}}
\trule{\withenv{P}{\trans{\inbr{cs,\,st,\,\inbr{\primi{leave}{\sigma\,\sigma^\prime},\,i,\,o}}}{p^\prime}{c^\prime}}}
{\withenv{P}{\trans{\inbr{(p^\prime,\,\sigma^\prime)::cs,\,st,\,\inbr{\sigma,\,i,\,o}}}{\llang{END}p}{c^\prime}}}
\ruleno{EndRet$_{SM}$}
\]