Formalization of Knuth–Bendix Orders for Lambda-Free Higher-Order Terms

Heiko Becker, Jasmin Christian Blanchette, Uwe Waldmann and Daniel Wand

12 November 2016

Abstract

This Isabelle/HOL formalization defines Knuth–Bendix orders for higher-order terms without lambda-abstraction and proves many useful properties about them. The main order fully coincides with the standard transfinite KBO with subterm coefficients on first-order terms. It appears promising as the basis of a higher-order superposition calculus.
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