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Rewrite, Rewrite, Rewrite, Rewrite, Rewrite

Nachum Dershowitz, Stéphane Kaplan

Abstract

We study properties of rewrite systems that are not necessarily terminating, but allow instead for transfinite derivations that have a limit.In particular, we give conditions for the existence of a limit and for its uniqueness and relate the operational and algebraic semantics of infinitary theories.We also consider sufficient completeness of hierarchical systems.

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