A term rewriting system is called complete if it is both confluent and strongly norrealizing. Barendregt and Klop showed that the disjoint union of complete term rewriting systems...
In this paper we extend the lazy narrowing calculus lnc of Middeldorp, Okui, and Ida [26] to conditional rewrite systems. The resulting lazy conditional narrowing calculus lcnc is...
We present completion methods for rewriting modulo a congruence, generalizing previous methods by Peterson and Stickel (1981) and Jouannaud and Kirchner (1986). We formalize our me...
We use computational systems to express a completion with constraints procedure that gives priority to simpliļ¬cations. Computational systems are rewrite theories enriched by stra...
We describe several technical tools that prove to be efficient for investigating the rewrite systems associated with an equational specification. These tools consist in introducing...