A me hani al proof of Knuth - Bendix riti al pairtheorem ( using ACL 2 ) ?

A me hani al proof of Knuth - Bendix riti al pairtheorem ( using ACL 2 ) ?

Formalizing Knuth-Bendix Orders and Knuth-Bendix Completion

We present extensions of our Isabelle Formalization of Rewriting that cover two historically related concepts: the Knuth-Bendix order and the Knuth-Bendix completion procedure. The former, besides being the first development of its kind in a proof assistant, is based on a generalized version of the Knuth-Bendix order. We compare our version to variants from the literature and show all propertie...

A Note on The Local Nilpotence of 4-Engel Groups

Recently Havas and Vaughan-Lee proved that 4-Engel groups are locally nilpotent. Their proof relies on the fact that a certain 4-Engel group T is nilpotent and this they prove using a computer and the Knuth-Bendix algorithm. In this paper we give a short hand-proof of the nilpotency of T .

The Existential Theories of Term Algebras with the Knuth-Bendix Orderings are Decidable

We consider term algebras with simpliication orderings (which are mono-tonic, and well-founded). Solving constraints (quantiier-free formulas) in term algebras with this kind of orderings has several important applications like pruning search space in automated deduction and proving termination and connuence of term rewriting systems. Two kinds of ordering are normally used in automated deducti...

A Complete Proof of Correctness of the Knuth-Bendix Completion Algorithm

We give in this paper a complete description of the Knuth-Bendix completion algorithm. We prove its correctness in full, isolating carefully the essential abstract notions, so that the proof may be extended to other versions and extensions of the basic algorithm. We show that it defines a semidecision algorithm for the validity problem in the equational theories for which it applies, yielding a...