Completion for Logically Constrained Rewriting

Sarah Winkler, Aart Middeldorp · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · 2018

We propose an abstract completion procedure for logically constrained term rewrite systems (LCTRSs). This procedure can be instantiated to both standard Knuth-Bendix completion and ordered completion for LCTRSs, and we present a succinct and uniform correctness proof. A prototype implementation illustrates the viability of the new completion approach.

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