Completion for Logically Constrained Rewriting

Authors Sarah Winkler , Aart Middeldorp

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Author Details

Sarah Winkler
  • Department of Computer Science, University of Innsbruck, Austria
Aart Middeldorp
  • Department of Computer Science, University of Innsbruck, Austria

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Sarah Winkler and Aart Middeldorp. Completion for Logically Constrained Rewriting. In 3rd International Conference on Formal Structures for Computation and Deduction (FSCD 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 108, pp. 30:1-30:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Rewrite systems
  • Theory of computation → Equational logic and rewriting
  • Theory of computation → Automated reasoning
  • Constrained rewriting
  • completion
  • automation
  • theorem proving


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