A Proof of Finite Family Developments for Higher-Order Rewriting ...
Reference
H.J. Sander Bruggink. A proof of finite family developments for higher-order rewriting using a prefix property. In Proceedings of RTA '06. Springer, 2006.
Abstract
A prefix property is the property that, given a reduction, the ancestor of a prefix of the target is a prefix of the source of the reduction. In this paper we prove a prefix property for the class of Higher-order Rewrite Systems with pattern (HRSs), by reducing it to a similar property of a
-calculus with explicit substitutions. This prefix property is then used to prove that Higher-order Rewrite Systems enjoy Finite Family Developments. This property states that reductions in which the creation depth of the redexes is bounded are finite, and is a useful tool to prove various properties of HRSs.
Suggested BibTeX entry:
@inproceedings{bruggink:ffd2006,
author = {H.J. Sander Bruggink},
booktitle = {Proceedings of RTA '06},
publisher = {Springer},
title = {A Proof of Finite Family Developments for Higher-Order Rewriting using a Prefix Property},
year = {2006}
}
