Context-sensitive reqriting was introduced in [7] and consists of syntactical restrictions imposed on a Term Rewriting System indicating how reductions can be performed.So context-sensitive rewriting is a restriction of the usual rewrite relation which reduces the reduction space and allows for a finer control of the reductions of a term.In this paper we extend the concept of context-sensitive rewriting to the framework rewriting modulo an associative-commutative theory in two ways:by restricting reductions and restricting AC-steps,and we then study this new relation with respect to the property of termination.
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