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authorGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2015-10-23 17:56:15 +0200
committerGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2015-12-10 09:35:06 +0100
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@@ -388,12 +388,13 @@ may be used in a conversion rule (see Section~\ref{conv-rules}).
\section[Conversion rules]{Conversion rules\index{Conversion rules}
\label{conv-rules}}
-\paragraph[$\beta$-reduction.]{$\beta$-reduction.\label{beta}\index{beta-reduction@$\beta$-reduction}}
In \CIC, there is an internal reduction mechanism. In particular, it
can decide if two programs are {\em intentionally} equal (one
says {\em convertible}). Convertibility is described in this section.
+\paragraph[$\beta$-reduction.]{$\beta$-reduction.\label{beta}\index{beta-reduction@$\beta$-reduction}}
+
We want to be able to identify some terms as we can identify the
application of a function to a given argument with its result. For
instance the identity function over a given type $T$ can be written