Adam Koprowski
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Certified Higher-Order Recursive Path Ordering
Abstract: The paper reports on a formalization of a proof of well-foundedness of the higher-order recursive path ordering (HORPO) in the proof checker Coq. The development is axiom-free and fully constructive. Three substantive parts that could be used also in other developments are the formalizations of the simply-typed lambda calculus, of finite multisets and of the multiset ordering. The Coq code consists of more than 1000 lemmas and 300 definitions.
Certified Higher-Order Recursive Path Ordering
In Proceedings of the 17th International Conference on Rewriting Techniques and Applications (RTA '06), Seattle, WA, USA.
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BibTeX:

@inproceedings{horpo-RTA-06,
  author = {Adam Koprowski},
  title = {Certified Higher-Order Recursive Path Ordering},
  booktitle = {Proceedings of the 17th International Conference on Rewriting Techniques and Applications (RTA '06)},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {4098},
  pages = {227--241},
}
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