KBO as a Satisfaction Problem

Harald Zankl, Aart Middeldorp · arXiv (Cornell University) · 2006

Abstract This note presents an approach to prove termination of term rewrite systems (TRSs) with the Knuth-Bendix order efficiently. The constraints for the weight function as well as for the precedence are encoded in propositional logic and the resulting formula is tested for satisfiability. Any satisfying assignment represents a weight function and a precedence such the induced Knuth-Bendix order orients the rules of the encoded TRS from left to right. 1.1

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