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Satisfying KBO Constraints

Harald Zankl·Aart Middeldorp
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Abstract

This paper presents two new approaches to prove termination of rewrite systems with the Knuth-Bendix order efficiently. The constraints for the weight function and for the precedence are encoded in (pseudo-)propositional logic and the resulting formula is tested for satisfiability. Any satisfying assignment represents a weight function and a precedence such that the induced Knuth-Bendix order orients the rules of the encoded rewrite system from left to right.

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Harald Zankl, Aart Middeldorp. 2007-04-03. Satisfying KBO Constraints. https://arxiv.org/abs/cs/0608032

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