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Update frap_book.tex

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Pietro Monticone 2023-09-07 13:39:29 +02:00
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@ -4769,7 +4769,7 @@ More involved and raising new complications is the rule for loops; see the Coq c
Actually, we need to modify our translation judgment so that it also applies to ``silly'' intermediate states of execution in the target language. Actually, we need to modify our translation judgment so that it also applies to ``silly'' intermediate states of execution in the target language.
For instance, we wind up with $\skipe$s that are quickly stepped away, yet those configurations must be related to source configurations by $\sim$. For instance, we wind up with $\skipe$s that are quickly stepped away, yet those configurations must be related to source configurations by $\sim$.
Here is one example of the extra rules that we need to add to make our induction hypothsis strong enough. Here is one example of the extra rules that we need to add to make our induction hypothesis strong enough.
$$\infer{\dscomp{v}{x \leftarrow \mt{Return} \; n; c(x)}{\mt{skip}; s}}{ $$\infer{\dscomp{v}{x \leftarrow \mt{Return} \; n; c(x)}{\mt{skip}; s}}{
v(y) = n v(y) = n
& \dscomp{v}{c(n)}{s} & \dscomp{v}{c(n)}{s}