Table of Contents

Basic features and development of the critical-pair/completion procedure.- Contextual rewriting.- Thue systems as rewriting systems.- Deciding algebraic properties of monoids presented by finite church-rosser Thue systems.- Two applications of equational theories to database theory.- An experiment in partial evaluation: The generation of a compiler generator.- NARROWER: a new algorithm for unification and its application to Logic Programming.- Solving type equations by graph rewriting.- Termination.- Path of subterms ordering and recursive decomposition ordering revisited.- Associative path orderings.- A procedure for automatically proving the termination of a set of rewrite rules.- Petrireve: Proving Petri net properties with rewriting systems.- Fairness in term rewriting systems.- Two results in term rewriting theorem proving.- Handling function definitions through innermost superposition and rewriting.- An ideal-theoretic approach to word problems and unification problems over finitely presented commutative algebras.- Combining unification algorithms for confined regular equational theories.- An algebraic approach to unification under associativity and commutativity.- Unification problems with one-sided distributivity.- Fast many-to-one matching algorithms.- Complexity of matching problems.- The set of unifiers in typed—-calculus as regular expression.- Equational systems for category theory and intuitionistic logic.