Abstract
In [5] we introduced the concept of dummy elimination in term rewriting: a transformation on terms which eliminates function symbols simplifying the rewrite rules and making, in general, the task of proving termination easier. Here we consider the more general setting of rewriting modulo an equational theory; we show that, in contrast with most techniques developed for proving termination of rewrite systems, dummy elimination remains valid in the presence of equational theories. Furthermore using the same proof technique, the soundness of a family of transformations (containing dummy elimination) can be shown. This work was motivated by an application in the area of Process Algebra.
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