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In their seminal paper [2], Knuth and Bendix introduced two important concepts: a procedure that allows us to solve certain instances of the word problem – (Knuth–Bendix) completion – as well as a specific order on terms that is useful to orient equations in the aforementioned procedure – the Knuth–Bendix order (or KBO ...
May 13, 2020 · We define a generalized version of Knuth–Bendix orders, including subterm coefficient functions. For these orders we formalize several ...
We present extensions of our Isabelle Formalization of Rewriting that cover two historically related concepts: the Knuth-Bendix order and the Knuth-Bendix ...
We present extensions of our Isabelle Formalization of Rewriting that cover two historically related concepts: the Knuth-Bendix order and the Knuth-Bendix ...
We present extensions of our Isabelle Formalization of Rewriting that cover two historically related concepts: the Knuth-Bendix order and the Knuth-Bendix ...
Extensions of Isabelle Formalization of Rewriting are presented that cover two historically related concepts: the Knuth-Bendix order and the KnUTH-B ...
The Knuth–Bendix completion algorithm is a semi-decision algorithm for transforming a set of equations (over terms) into a confluent term rewriting system.
This Isabelle/HOL formalization of orders for higher-order terms without λ-abstraction proves many useful properties about them and appears promising as the ...
This work presents a formalization of the theorem of existence of most general unifiers in first-order signatures in the higher-order proof assistant PVS.
Abstract A mechanical proof of the Knuth–Bendix Critical Pair Theorem in the higher-order language of the theorem prover PVS is described. This well-known.