diff --git a/cbpv.mng b/cbpv.mng index 1bbd6c9..5ed10dc 100644 --- a/cbpv.mng +++ b/cbpv.mng @@ -505,7 +505,7 @@ and it doesn't describe reducing anywhere other than in the head position. The solution we take from POPLMark Reloaded is to prove that $\kw{SN}$ is sound with respect to a traditional presentation of strongly normal terms -based on full small-step reduction $[[v ⇝ w]]$, $[[m ⇝ n]]$ of values and computations. +based on full small-step reduction \fbox{$[[v ⇝ w]]$}, \fbox{$[[m ⇝ n]]$} of values and computations. I omit here the definitions of these reductions, but they encompass all $\beta$-reduction rules and are congruent over all subterms, including under binders. diff --git a/cbpv.pdf b/cbpv.pdf index 2e35f6f..c4d2293 100644 --- a/cbpv.pdf +++ b/cbpv.pdf @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:a31aa4f3d423add5b5ce1d9b7ae67baa176cb9d1bcd7cd496993c6227e78fd4b -size 325048 +oid sha256:3f9ad844241135ba18c1223004db36ab7dde032d8da90a76e1187f8ede357d46 +size 325129 diff --git a/cbpv.tex b/cbpv.tex index 3646e75..9953df2 100644 --- a/cbpv.tex +++ b/cbpv.tex @@ -505,7 +505,7 @@ and it doesn't describe reducing anywhere other than in the head position. The solution we take from POPLMark Reloaded is to prove that $\kw{SN}$ is sound with respect to a traditional presentation of strongly normal terms -based on full small-step reduction $ \ottnt{v} \rightsquigarrow \ottnt{w} $, $ \ottnt{m} \rightsquigarrow \ottnt{n} $ of values and computations. +based on full small-step reduction \fbox{$ \ottnt{v} \rightsquigarrow \ottnt{w} $}, \fbox{$ \ottnt{m} \rightsquigarrow \ottnt{n} $} of values and computations. I omit here the definitions of these reductions, but they encompass all $\beta$-reduction rules and are congruent over all subterms, including under binders.