“…For instance, properties of confluence, termination, or completeness for rewriting under strategies have been addressed, either based on schematization of derivation trees, as in [12], or by tuning proof methods to handle specific strategies (innermost, outermost, lazy strategies) as in [10,11]. Other approaches as [4] use strategies transformation to equivalent rewrite systems to be able to reuse well-known methods. Finally, properties of strategies such as fairness or loop-freeness could be worthfully explored by making connections between different communities (functional programming, proof theory, verification, game theory,...).…”