KBCV - Knuth-Bendix Completion Visualizer

KBCV 2.0 - Automatic Completion Experiments

This paper describes the automatic mode of the new version of the Knuth-Bendix Completion Visualizer. The internally used data structures have been overhauled and the performance was dramatically improved by introducing caching, parallelization, and termindexing in the computation of critical pairs and simplification. The new version is much faster and can complete three more systems.

Knuth - Bendix Completion with Modern Termination Checking

KNUTH-BENDIX COMPLETION WITH MODERN TERMINATION CHECKING

Abstract Reduction Systems and Idea of Knuth-Bendix Completion Algorithm

Reduction Systems and Idea of Knuth-Bendix Completion Algorithm Grzegorz Bancerek Association of Mizar Users Białystok, Poland Summary. Educational content for abstract reduction systems concerning reduction, convertibility, normal forms, divergence and convergence, ChurchRosser property, term rewriting systems, and the idea of the Knuth-Bendix Completion Algorithm. The theory is based on [1].

Knuth-Bendix Completion for Non-Symmetri Transitive Relations

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...