  The two levels of data and actions on those data provided by the separation
between equations and rules in rewriting logic are completed by a third level
of strategies to control the application of those actions. This level is
implemented on top of Maude as a strategy language, which has been successfully
used in a wide range of applications. First we summarize the Maude strategy
language design and review some of its applications; then, we describe a new
case study, namely the description of completion procedures as transition rules
+ control, as proposed by Lescanne.
