Rewriting Techniques for Non-Deterministic Computation

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Term rewriting is a computational model which underlies functional programming and theorem proving. In this research project we revisited its fundamental theory in the light of relative termination. As an outcome, we established a new confluence criterion that unifies two major confluence criteria (Rosen’s orthogonality and Knuth and Bendix’ completeness) for left-linear systems. Moreover, we introduced a new technique for automated deduction, dubbed maximal completion. Based on those new technologies, we developed the powerful confluence analyzer Saigawa and the fully automatic completion tool Maxcomp.