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Lectures
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doc/05.tex
11
doc/05.tex
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@ -110,9 +110,14 @@ propagate this environment, adding $\withenv{\Gamma}{...}$ for each transition `
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need now is to describe the rule for procedure calls:
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\[
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\trule{\withenv{\Gamma}{\trans{\inbr{\primi{enter}{\sigma\,(\bar{a}@\bar{l})[\overline{a\gets\sembr{e}\sigma}]},\,i,\,o}}{S}{\inbr{\sigma^\prime,\,i^\prime,\,o^\prime}}}}
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{\withenv{\Gamma}{\trans{\inbr{\sigma,\,i,\,o}}{f (\bar{e})}{\inbr{\primi{leave}{\sigma^\prime\,\sigma},\,i^\prime,o^\prime}}}}
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\ruleno{Call$_{bs}$}
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\arraycolsep=10pt
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\trule{\begin{array}{cc}
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\llang{fun $\;f\;$ ($\bar{a}$) local $\;\bar{l}\;$ \{$S$\}}=\Gamma\,f &
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\withenv{\Gamma}{\trans{\inbr{\primi{enter}{\sigma\,(\bar{a}\bar{l})[\overline{a\gets\sembr{e}\sigma}]},\,\iota,\,o}}{S}{\inbr{\sigma^\prime,\,\iota^\prime,\,o^\prime}}}
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\end{array}
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}
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{\withenv{\Gamma}{\trans{\inbr{\sigma,\,\iota,\,o}}{f (\bar{e})}{\inbr{\primi{leave}{\sigma^\prime\,\sigma},\,\iota^\prime,o^\prime}}}}
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\ruleno{Call}
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\]
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where $\Gamma\,f = \llang{fun $\;f\;$ ($\bar{a}$) local $\;\bar{l}\;$ \{$S$\}}$.
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