# Formalization of the Embedding Path Order for Lambda-Free Higher-Order Terms

 Title: Formalization of the Embedding Path Order for Lambda-Free Higher-Order Terms Author: Alexander Bentkamp (bentkamp /at/ gmail /dot/ com) Submission date: 2018-10-19 Abstract: This Isabelle/HOL formalization defines the Embedding Path Order (EPO) for higher-order terms without lambda-abstraction and proves many useful properties about it. In contrast to the lambda-free recursive path orders, it does not fully coincide with RPO on first-order terms, but it is compatible with arbitrary higher-order contexts. BibTeX: @article{Lambda_Free_EPO-AFP, author = {Alexander Bentkamp}, title = {Formalization of the Embedding Path Order for Lambda-Free Higher-Order Terms}, journal = {Archive of Formal Proofs}, month = oct, year = 2018, note = {\url{https://isa-afp.org/entries/Lambda_Free_EPO.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Lambda_Free_RPOs Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.